Answer:
B
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (0, 9) ← 2 ordered pairs from the table
m = [tex]\frac{9-15}{0-(-2)}[/tex] = [tex]\frac{-6}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
Houston, TX and New Orleans, LA are 348 miles apart. On a map, these two cities are 2.3 centimeters apart. Use this scale to determine the distance between Houston, TX and Dallas, TX if they are 1.6 centimeters apart on the map.
Based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.
To determine the distance between Houston, TX and Dallas, TX using the given scale, we can set up a proportion using the distances on the map and the actual distances.
Let's denote the distance between Houston and Dallas as "x" (in miles).
According to the scale provided, 2.3 centimeters on the map represents a distance of 348 miles. This can be expressed as:
2.3 cm / 348 miles = 1.6 cm / x miles
To find the value of "x," we can cross-multiply and solve the equation:
(2.3 cm) * (x miles) = (1.6 cm) * (348 miles)
2.3x = 556.8
Divide both sides by 2.3 to isolate "x":
x = 556.8 / 2.3
x ≈ 242.0869565
Therefore, based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.
Please note that this is an approximation based on the given scale and the assumption that the scale is linear and consistent throughout the map. Actual distances may vary and should be verified using more accurate measurements or reliable sources.
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I completed 2/3 of my project last month and 1/4 of it this week, what fraction of my project is not completed
Hello!
Answer:
11/12
Step-by-step explanation:
To solve this problem, we would need to find the denominator of the 2 numbers. In this case, it is 12. We will now convert the fractions to twelfths.
2/3 = 8/12
1/4 = 3/12
After we add 8/12 and 3/12, we get our answer 11/12.
A scatterplot contains data showing the relationship between number of football games played and total number of rushing yards. Which graph displays the line of best fit for the data?
To identify the appropriate graph displaying the line of best fit, one would need to examine the slope, position, and dispersion of the data points in relation to the line.
To determine which graph displays the line of best fit for the relationship between the number of football games played and the total number of rushing yards, we would need to analyze the given graphs and identify the one that best represents the trend in the data.
The line of best fit is a straight line that represents the average trend of the data points in a scatterplot. It is calculated using regression analysis to find the line that minimizes the overall distance between the line and the data points.
Without the specific graphs to examine, it is not possible to identify the exact graph that displays the line of best fit. However, in a scatterplot of the number of football games played versus the total number of rushing yards, the line of best fit would be a straight line that best represents the general trend or relationship between the two variables.
The line of best fit may have a positive slope if there is a positive correlation between the number of games played and rushing yards, indicating that more games played result in higher rushing yards. Conversely, it may have a negative slope if there is a negative correlation, suggesting that more games played lead to lower rushing yards.
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What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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In the diagram, the measures of 23 and 27 are 45°. The measure of 25 is
135°. Are lines cand dparallel?
F
5
8
OA. Yes, because 23 and 27 are congruent.
OB. No, because 27 and 25 are not congruent.
C. Yes, because 25 and 27 are supplementary.
D. No, because 23 and 25 are not supplementary.
The correct answer is D. No because 23 and 25 are not supplementary.
In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.
If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.
The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.
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Three friends, Billy, Joe and Paul plan to go on go on holiday.
Billy pays 1/2of the holiday cost.
Joe pays 2/5 of the holiday cost.
What fraction of the holiday cost does Paul pay.
Paul pays 1/10 of the holiday cost, while Billy pays 1/2 and Joe pays 2/5.
To determine the fraction of the holiday cost that Paul pays, we need to find the remaining portion after Billy and Joe have paid their shares.
Let's start by calculating the sum of the fractions Billy and Joe have paid:
Billy's share = 1/2
Joe's share = 2/5
To find the combined share of Billy and Joe, we add their fractions:
1/2 + 2/5
To add these fractions, we need a common denominator. The least common multiple of 2 and 5 is 10. So, we can convert the fractions to have a common denominator of 10:
1/2 = 5/10
2/5 = 4/10
Now, we can add the fractions:
5/10 + 4/10 = 9/10
Billy and Joe have paid a combined fraction of 9/10 of the holiday cost. To find the fraction that Paul pays, we need to determine the remaining portion, which can be calculated by subtracting the combined fraction from 1 (since 1 represents the whole).
Remaining fraction = 1 - 9/10
= 10/10 - 9/10
= 1/10
Therefore, Paul pays 1/10 of the holiday cost.
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State if the pair of triangles are similar. If so, state how you know they are similar and complete the similarity statement.
The triangles EFG and WVU are similar by SSS
Identifying the similar triangles in the figure.from the question, we have the following parameters that can be used in our computation:
Triangle EFG and WVU
The triangles in this figure are
EFG and WVU
These triangles are similar because:
The triangles do have similar corresponding sides
i.e. Ratio = 525/252 = 875/420 = 825/396
Evaluate
Ratio = 2.083 = 2.083 = 2.083
Hence, the triangles EFG and WVU are similar
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Describe how the graph of h(x) = -2x - 4 can be obtained from one of the basic graphs. Then graph the function.
To obtain the graph of h(x) = -2x - 4, start with the graph of y = x. Stretch vertically by multiplying each x-coordinate by 2. Then reflect it across the x-axis and shift it down by 4 units
Describing how the graph of h(x) = -2x - 4 can be obtainedFrom the question, we have the following parameters that can be used in our computation:
h(x) = -2x - 4
The parent function is
f(x) = x
First, stretch vertically by a factor of 2
So, we have
f'(x) = 2x
Next, we reflect across the x-axis
So, we have
f''(x) = -2x
Lastly, we shift down by 4 units
So, we have
h(x) = -2x - 4
The graph is attached
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Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(9x)? O It is the graph of f(x) stretched vertically by a factor of . O It is the graph of f(x) shrunk vertically by a factor of 9. O It is the graph of f(x) shrunk horizontally by a factor of 9. It is the graph of f(x) stretched horizontally by a factor of 9.
The correct statement that describes the transformation of the graph of f(x) = x when considering g(x) = f(9x) is: "It is the graph of f(x) shrunk horizontally by a factor of 9."
To understand this transformation, let's analyze the function g(x) = f(9x). When we substitute x with 9x inside f(x), we effectively compress the graph horizontally.
Since the input x is multiplied by 9, the graph is squeezed horizontally by a factor of 9. This means that the x-values on the graph of g(x) are condensed compared to those on the graph of f(x).
It is important to note that the vertical scaling remains unchanged since the coefficient multiplying x remains 1 in both functions. Therefore, there is no vertical stretching or shrinking.
In summary, the graph of g(x) = f(9x) is the graph of f(x) shrunk horizontally by a factor of 9, while the vertical scaling remains unaffected.
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How do we do
700/3.14 without a calculator please show a method that would work with any whole number divided by a decimal?
If answer and explanation are correct and they are understandable and useable I will rate five stars , 13PTS, a thanks and BRAINLIEST
700 divided by 3.14 is approximately 2.23.
To divide a whole number by a decimal without using a calculator, you can follow these steps:
Convert the decimal divisor into a whole number by multiplying both the numerator and denominator by a power of 10 that eliminates the decimal. In this case, we have 3.14, so we can multiply it by 100 to get 314 as the new divisor.
700 ÷ (3.14 × 100)
Perform the division using the converted divisor. Divide 700 by 314:
700 ÷ 314 = 2.229...
Round the result to the desired number of decimal places, if necessary. Since the question does not specify the level of precision required, we will round the result to two decimal places:
2.229... ≈ 2.23
Therefore, 700 divided by 3.14 is approximately 2.23.
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Suppose that 6 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 56 cm.
(a)
How much work (in J) is needed to stretch the spring from 44 cm to 52 cm? (Round your answer to two decimal places.)
(b)
How far beyond its natural length (in cm) will a force of 25 N keep the spring stretched? (Round your answer one decimal place.)
Answer:
To stretch the spring from 36 cm to 56 cm, we need 6 J of work. Let's call the work needed to stretch the spring from 44 cm to 56 cm W1, and the work needed to stretch it from 36 cm to 44 cm W2.
Since the work needed is proportional to the distance the spring is stretched, we can write:
W1/W2 = (56-44)/(56-36)
Solving for W1, we get:
W1 = W2 * (56-44)/(56-36)
Substituting the values, we get:
W1 = 6 * (56-44)/(56-36) = 1.5 J
So, the work needed to stretch the spring from 44 cm to 52 cm is 1.5 J.
Now, let's move on to part (b).
The force required to stretch a spring is given by:
F = kx
where F is the force applied, x is the distance the spring is stretched beyond its natural length, and k is the spring constant.
We can rearrange this equation to solve for x:
x = F/k
We are given that a force of 25 N is applied to the spring. We need to find the distance the spring is stretched beyond its natural length. To do this, we need to know the spring constant.
Unfortunately, the problem does not give us the spring constant.
Without this information, we cannot solve for x.
Please awnser asap I will brainlist
The number of vans, small truck and large truck they can buy is 130, 65 and 65 respectively.
How many of each vehicles can be bought?Total cost of vehicles = $10 million
Total number of vehicles = 260
Cost of each commercial van = $25,000
Cost of each small truck = $50,000
Cost of each large truck = $50,000
Let
c = commercial van
s = small truck
l = large truck
v = 2s
s = l
So,
v + s + l = 260
2s + s + s = 260
4s = 260
divide both sides by 4
s = 260/4
s = 65
Therefore,
v = 2s
= 2(65)
= 130
s = l
l = 65
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Calcula el área de un círculo con radio de 5 cm.
The area of a circle with a radius of 5 cm is 78.5 square centimeters.
How to find the area?Here we want to find the area of a circle whose radius is r = 5cm.
Remember that the area of circle of radius R is given by the formula below:
A = π*R²
Where π = 3.14
Replacing the values that we know, we will get the area:
A = 3.14*(5cm)²
A = 78.5 cm²
The area is 78.5 square centimeters.
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Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 10 feet and a height of 5 feet. Container B has
a diameter of 6 feet and a height of 9 feet. Container A is full of water and the water is
pumped into Container B until Container B is completely full.
After the pumping is complete, what is the volume of water remaining in Container A,
to the nearest tenth of a cubic foot?
The nearest tenth of a cubic foot, the volume of water remaining in Container A is approximately 138.2 cubic feet.
To find the volume of water remaining in Container A after it is completely filled and transferred to Container B, we need to calculate the difference in their volumes.
The volume of a cylinder can be calculated using the formula:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
Container A:
Diameter = 10 feet
Radius (r) = 10/2 = 5 feet
Height (h) = 5 feet
Container B:
Diameter = 6 feet
Radius (r) = 6/2 = 3 feet
Height (h) = 9 feet
Now, let's calculate the volumes of both containers:
Volume of Container A = π(5^2)(5) = 125π cubic feet
Volume of Container B = π(3^2)(9) = 81π cubic feet
To find the volume of water remaining in Container A, we subtract the volume of Container B from the volume of Container A:
Volume remaining in Container A = Volume of Container A - Volume of Container B
= 125π - 81π
= 44π cubic feet
To get the volume to the nearest tenth of a cubic foot, we can use an approximation for the value of π, which is approximately 3.14:
Volume remaining in Container A ≈ 44(3.14) ≈ 138.16 cubic feet
Therefore, to the nearest tenth of a cubic foot, the volume of water remaining in Container A is approximately 138.2 cubic feet.
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Select the correct answer. Which function is increasing at the highest rate? A. A linear function, f, with an x-intercept of 8 and a y-intercept of -4. B. A linear function on a coordinate plane passes through (minus 1, 3), and (2, minus 3) which intercepts axis at (0.5, 0), and (0, 1) C. D. x 1 2 3 4 5 g(x) -5 -4 -3 -2 -1
The function in option C (the table) is increasing at the highest rate among the three options.
To determine which function is increasing at the highest rate, we need to analyze the rate of change of each function. The rate of change represents how much the dependent variable (y) changes for a given change in the independent variable (x).
Let's analyze the given options:
A. A linear function, f, with an x-intercept of 8 and a y-intercept of -4.
Since this function is linear, the rate of change is constant. It means that the rate of increase is the same throughout. Therefore, it does not have the highest rate of change.
B. A linear function passing through (-1, 3) and (2, -3) intercepting the axis at (0.5, 0) and (0, 1).
We can calculate the slope of the line using the two points given: (-1, 3) and (2, -3). The slope formula is (change in y) / (change in x).
Slope = (-3 - 3) / (2 - (-1)) = -6 / 3 = -2
The negative slope indicates a decreasing function, not an increasing one. Therefore, this function does not have the highest rate of change.
C. The given table:
x 1 2 3 4 5
g(x) -5 -4 -3 -2 -1
By observing the table, we can see that as x increases, g(x) also increases. The function is consistently increasing, indicating the highest rate of change among the given options.
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PLEASE! help me I don't understand
The trapezoid ABCD have the measure of angles m∠A and m∠B equal to 79° and 66° respectively.
How to evaluate for the angle of the trapezoid.The sum of the interior angles of a quadrilateral is equal to 360°, so the sum of angles, m∠A, m∠B, m∠C, and m∠D is equal to 360°.
2x - 19 + x + 17 + 3x + 7 + 2x - 37 = 360°
8x - 32 = 360°
8x = 360° + 32°
8x = 392
x = 392/8 {divide through by 8}
x = 49
m∠A = 2(49) - 19 = 79°
m∠A = 49 + 17 = 66°
Therefore, the trapezoid ABCD have the measure of angles m∠A and m∠B equal to 79° and 66° respectively.
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A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x.
A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x.
What is the value of y?
3
4
5
6
To find the value of y, we can use the fact that opposite sides of a parallelogram are equal in length. Therefore, we can set up the following equations:
10 = 10 + 2x
2y + 4 = 18
Simplifying the first equation, we get:
2x = 0
Solving for x, we get:
x = 0
Substituting x = 0 into the second equation, we get:
2y + 4 = 18
Simplifying this equation, we get:
2y = 14
Dividing both sides by 2, we get:
y = 7
Therefore, the value of y is 7.
Find the inverse of the function. y=x2+4x+4
The inverse of the function [tex]y = x^2 + 4x + 4 is f^(-1)(x) = -2 ± √(x - 2).[/tex]C
is correct answer
To find the inverse of the function y = x^2 + 4x + 4, we can follow the steps for finding the inverse of a function:
Step 1: Replace y with x and x with y:
[tex]x = y^2 + 4y + 4[/tex]
Step 2: Solve the equation for y:
[tex]x = y^2 + 4y + 4[/tex]
Step 3: Rearrange the equation:
[tex]y^2 + 4y + 4 - x = 0[/tex]
Step 4: Solve the quadratic equation for y using factoring or the quadratic formula. In this case, the equation can be factored:
[tex](y + 2)(y + 2) - x = 0(y + 2)^2 - x = 0[/tex]
Step 5: Expand and rearrange the equation:
[tex]y^2 + 4y + 4 - x = 0y^2 + 4y = x - 4y^2 + 4y = x - 2^2y^2 + 4y = (x - 2^2)[/tex]
Step 6: Complete the square on the left side of the equation:
[tex](y^2 + 4y + 4) = (x - 2^2) + 4(y + 2)^2 = (x - 2)[/tex]
Step 7: Take the square root of both sides:
[tex]y + 2 = ±√(x - 2)[/tex]
Step 8: Solve for y:
[tex]y = -2 ± √(x - 2)[/tex]
The inverse function of y = x^2 + 4x + 4 is given by:
[tex]f^(-1)(x) = -2 ± √(x - 2)[/tex]
Therefore, the inverse of the function y = [tex]x^2 + 4x + 4 is f^(-1)(x) = -2 ± √(x - 2).[/tex]
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
The calculated scale factor from ABC to A'B'C is 1/3
Calculating the scale factor from ABC to DEF?From the question, we have the following parameters that can be used in our computation:
The triangles
From the triangles, we have the following parameters
A = (0, 3)
A' = (0, 1)
Using the above as a guide, we have the following:
Scale factor of the dilation = A'/A
So, we have
Scale factor of the dilation = (0, 1)/(0, 3)
Evaluate
Scale factor of the dilation = 1/3
Hence, the scale factor of the dilation is 1/3
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Which of these will have an effect on the GDP of the country?
Sam loses $10.00 in a bet with Kurt.
Sally buys a new patio furniture set.
Hershey makes 1,000 chocolate bars to export to Brazil.
Jack's grandpa fixes his car light.
Sally buying a new patio furniture set and Hershey making and exporting chocolate bars will have an effect on the GDP of the country, as they involve market transactions and the production of goods.
Out of the given options, the activities that will have an effect on the GDP (Gross Domestic Product) of the country are Sally buying a new patio furniture set and Hershey making 1,000 chocolate bars to export to Brazil. Let's analyze each activity:
1. Sam losing $10.00 in a bet with Kurt:
This activity does not directly contribute to the GDP. While money is changing hands, it does not involve the production of goods or services that are included in the calculation of GDP.
2. Sally buying a new patio furniture set:
When Sally purchases a new patio furniture set, it involves a transaction in which money is exchanged for a tangible product. This transaction represents consumption, which is one of the components of GDP. The purchase contributes to the GDP as it reflects the value of the furniture set produced within the country.
3. Hershey making 1,000 chocolate bars to export to Brazil:
The production of chocolate bars by Hershey contributes to the GDP. It represents the manufacturing or production of goods within the country. Additionally, when the chocolate bars are exported to Brazil, it represents an export activity, which also contributes to the GDP. The value of the chocolate bars produced and exported is accounted for in the calculation of GDP.
4. Jack's grandpa fixing his car light:
This activity does not directly contribute to the GDP. While it involves a service (car repair), it is not a market transaction and does not involve the production of goods or services for sale.
In summary, Sally buying a new patio furniture set and Hershey making and exporting chocolate bars will have an effect on the GDP of the country, as they involve market transactions and the production of goods. The other activities do not directly contribute to the GDP.
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Solve the math word problem. A toaster has 4 slots for bread. Once the toaster is warmed up, it takes 35 seconds to make 4 slices of toast, 70 seconds to make 8 slices, and 105 seconds to make 10 slices. How long do you think it will take to make 20 slices?
To determine how long it will take to make 20 slices of toast with the given information, we can analyze the patterns and ratios observed in the data.
From the provided data, we can see that the time it takes to make toast is directly proportional to the number of slices. Specifically, as the number of slices doubles, the time doubles as well.
Using this pattern, we can calculate the estimated time it would take to make 20 slices.
Starting with the given information:
35 seconds for 4 slices
70 seconds for 8 slices
105 seconds for 10 slices
Since the time doubles as the number of slices doubles, we can estimate that it would take approximately 140 seconds for 16 slices (double of 8 slices).
Now, doubling again, we can estimate that it would take approximately 280 seconds for 20 slices (double of 10 slices).
Therefore, it is estimated that it will take around 280 seconds to make 20 slices of toast.
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Pls help I need help on this question
Answer: B
Step-by-step explanation: Hope this helps:)
Find the missing side.
+
18
12
x = [?]
Round to the nearest tenth.
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{18}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{12} \end{cases} \\\\\\ x=\sqrt{ 18^2 - 12^2}\implies x=\sqrt{ 324 - 144 } \implies x=\sqrt{ 180 }\implies x\approx 13.4[/tex]
The missing side of a right-angled triangle, assuming it to be the hypotenuse with other sides as 12 and 18, can be calculated using the Pythagorean theorem. The square root of the sum of 12^2 and 18^2 gives the length of the hypotenuse, which is approximately 21.6 when rounded to the nearest tenth.
Explanation:This question relates to the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².
Assuming that the missing side in your question (x) is the hypotenuse and the other two sides are 12 and 18, you can calculate it using the aforementioned theorem. Therefore, you find x by calculating the square root of (12² + 18²), or √(144 + 324) which equals to √468. This value, rounded to the nearest tenth, is 21.6.
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If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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Cuántos saltos debe dar la rana para recorrer lo mismo que un alto de gato
According to the information, we can infer that the frog must take 4 hops to travel the same distance as a cat's jump.
How many hops must the frog take to travel the same distance as a cat's jump?Since the cat's jump covers a distance of 1 meter, we need to determine how many hops the frog needs to take to cover the same distance.
The frog's jump covers 1/4 meter, and we want to find the number of hops needed to reach 1 meter (the distance of the cat's jump).So, to do this, we can set up a proportion:
1 meter (cat's jump) = x hops (frog's jumps) * 1/4 meter (frog's jump)By cross-multiplying, we have:
1 * 4 = x * 14 = xSo, the correct answer is 4 because the frog has to jump 4 times to cover the same distance of the rabbit.
Note: This question is in a different language. Here is in English:
How many hops must the frog take to travel the same distance as a cat's height?
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What is the power of a lamp rated at 12 V 2 A?
Answer:
24 W
Step-by-step explanation:
Which fraction is represented by point A on the number line?
The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.
With these details, you can calculate the fraction accurately.
Point A on the number line represents a fraction that requires additional information to determine its precise value.
I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.
A number line represents a range of values, typically with a specific scale or interval.
The scale can be divided into equal parts, such as units or fractions.
To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.
Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.
If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).
If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.
Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.
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Four students were discussing how to find the unit rate for a proportional relationship. Which method is
valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit
rate."
O "Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."
Answer:
The correct answer is,
"Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
Step-by-step explanation:
Answer:
Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the difference in the corresponding x-values.
Step-by-step explanation:
To find the unit rate for a proportional relationship, you need to identify any two points on the graph of the relationship that have y-values that differ by one unit. Once you have identified these two points, you can find the unit rate by calculating the difference between the corresponding x-values (the change in x) for those two points:
1. Look at the graph of the proportional relationship.
2. Identify any two points on the graph that have y-values that differ by one unit.
3. Determine the x-value for each of the two points you identified in step 2.
4. Calculate the difference between the two x-values (the change in x) for those two points.
5. The result of step 4 is the unit rate for the proportional relationship.
In the diagram, the measures of 22, 23 and 26 are 40°. The measure of 21
is 140°. Are lines cand d parallel?
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A. No, because 26 and 21 are not congruent.
B. Yes, because 22 and 23 are congruent.
C. No, because 21 and 22 are not congruent.
D. Yes, because 22 and 26 are congruent.
The lines c and d are not parallel.
The correct answer is A. No, because 26 and 21 are not congruent.
In order for two lines to be parallel, the corresponding angles formed by a transversal should be congruent. However, in this case, angles 26 and 21 are not congruent, as indicated by their different measures of 40° and 140°, respectively.
Therefore, we can conclude that lines c and d are not parallel. The congruence of angles 22 and 23, mentioned in option B, or the congruence of angles 22 and 26, mentioned in option D, does not provide sufficient information to determine the parallelism of lines c and d.
The key factor in determining parallel lines is the congruence of corresponding angles, which is not met in this scenario.
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The figure is a parallelogram. One diagonal measures 28 units. A parallelogram is shown. It has side lengths 21, 20, 21, and 20. The length of a diagonal is 28. Is the figure a rectangle? Explain. No, it is not a rectangle because the diagonals are congruent. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles. Yes, it is a rectangle because the diagonals are congruent. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.
No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
A rectangle is a special type of parallelogram where all angles are right angles (90 degrees).
In the given figure, although the diagonals are congruent (one diagonal measures 28 units), this alone does not guarantee that the parallelogram is a rectangle.
The lengths of the sides in the parallelogram are given as 21, 20, 21, and 20 units, which indicates that opposite sides are congruent.
To determine if the figure is a rectangle, we need to check if the sides of the parallelogram meet at right angles.
Since the question does not provide information about the angles of the parallelogram, we cannot conclude that the sides meet at right angles. Therefore, the correct answer is that it is not a rectangle because the sides of the parallelogram do not meet at right angles.
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AnswerD):Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.
Step-by-step explanation:
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