Answers
Considering the parallel and triangle sum properties and the isosceles triangle properties the only correct part option is 2
How to interpret the figuresOption 1
The angle 52 degrees is base angle of isosceles triangle therefore say angle at the third angle is x such that
x + 52 + 52 = 180 (triangle sum property)
x + 104 = 180
x = 76
The figure shows that the base angle of the triangle at the base is equal to 76 too
32 + 2x = 180 (triangle sum property for isosceles triangle)
x = 74
The two angles 74 and 76 are not equal - wrong option
Option 2
x + 2 * 76 = 180 (triangle sum property for isosceles triangle)
x = 28
The figure shows that the base angle of the triangle at the base is equal to 28
124 + 2x = 180 (triangle sum property for isosceles triangle)
x = 28
The two angles 28 and 28 are equal hence a right option
Option 3
wood you believe it, I past plain geometry - wrong
would you believe it, I passed plain geometry - correct
Option 4
The triangle in the parallelogram the isosceles triangle with base angle 27
The alternate interior angle is showing same base angle as 29
and the two angles 27 and 29 are not equal
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Related Questions
the length of a rectangle is 11 less than three times the width, and the area of the rectangle is 42. find the dimensions of the rectangle.
Answers
The dimensions of the rectangle are length and width are 6 and 11.6 respectively.
L = 3w - 11 ,
where,
L = length of the rectangle and
W =width of the rectangle
A=LW
Here A is Area of the Rectangle which is product of its dimensions i.e., length and breadth.
LW = 42
substituting for l:-
(3W-11)W= 42
3W^2 - 11W - 42 = 0
(3W + 10)(W - 6) = 0
W = 6 or -10/3 (ignore the negative root)
So the width is 6 and the length is 70/6= 11.6
The rectangle's length and width are therefore 6 and 11.6, respectively.
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The table below shows Bentley's earnings on the job.
Time (hours) Earnings (dollars)
16
20
22
$243.20
$304
$334.40
What is the constant of proportionality between earnings
and time in hours?
Answers
Constant of Proportionality = 15.20
What's proportionality?
Suppose there are two amounts. Proportionality indicates that if there's a change in the value of one number, the value of other number also changes but maintaining a constant ratio
Proportionality can be direct or inverse
Direct proportion
Two amounts are said to be in direct proportion if on increasing the value of one number, the value of other number also increases and vice versa.
For illustration cost of a commodity and volume of a commodity are in direct proportion
Inverse proportion
Two amounts are said to be in inverse proportion if on increases the value of one number, the value of other volume diminishes and vice versa.
For illustration Number of men and number of days taken by those men to complete a job
From the table, we can calculate the constant of proportionality
Constant of Proportionality =
[tex]\frac{304 - 243.20}{20 -16}\\\frac{60.80}{4}\\15.20[/tex]
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write the expression in algebraic form. [hint: sketch a right triangle, as demonstrated in example 3.] cos arcsin x - h r
Answers
Given trigonometric expression in algebraic form would be,
cos(arcsin(x - h/r)) = ± [√(r² - (x - h)²)]/r
In this question, we need write the expression in algebraic form.
Given trigonometric expression is cos(arcsin(x - h/r))
Let y = arcsin(x - h/r)
so, sin(y) = (x - h)/r
By trigonometric identity,
sin^2(y) + cos^2(y) = 1
we have cos(y) = ±√(1 - sin²y)
cos(arcsin(x - h/r)) = ±√[1 - ((x - h)/r)^2]
= ± [√(r² - (x - h)²)]/r
Therefore, given trigonometric expression in algebraic form would be,
cos(arcsin(x - h/r)) = ± [√(r² - (x - h)²)]/r
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you read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about 0.11. this means that
Answers
the probability that each of the four players is dealt exactly one ace is about 0.11. this means that in a very large number of bridge deals, the percentage of deals on which each player has one ace will be very close to 11%
The probability of each of the four players is dealt exactly one ace is about 0.11
so,
the probability is always approximately the corresponding percent obtained for very large samples.
Hence it means that in a very large number of bridge deals, the percentage of deals on which each player has one ace will be very close to 11%
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The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 12 f oz per minute. How fast was the pipe leaking in gallons per hour?
Answers
Answer:
5.625 gallons are being leaked per hour.
Step-by-step explanation:
Since every fluid ounce = 0.0078125 of a gallon,
0.0078125 x 12 (the amount of fluid ounces leaked per minute) = 0.09375
Since 0.09375 is the number of gallons leaked per minute, we have to multiply by 60 (because an hour is 60 minutes long).
12 x 60 = 720 (the number of fluid ounces leaked per minute)
0.09375 x 60 = 5.625 (the number of gallons are being leaked per hour)
Kristen lost 30 pounds in
12 weeks. She lost the same
amount of weight per week.
What is the unit rate of weeks to
pounds?
Answers
The unit rate of weeks to pounds is 2.5 pounds in just 12 weeks, Kristen shed 30 pounds. Every week, she lost the same amount of weight.
Given that,
In just 12 weeks, Kristen shed 30 pounds. Every week, she lost the same amount of weight.
We have to find how many weeks are there in a pound.
What is unit rate?A rate is a ratio that is utilized to compare the quantities of several commodities. A unit rate is a rate with one as the denominator. Whenever a rate's denominator, such as the price per unit of a certain number of items, is not 1.
So, we can write has
This is the fraction of the number of pounds and number of weeks.
=30pounds / 12 weeks
=2.5 pounds
Therefore, The unit rate of weeks to pounds is 2.5 pounds in just 12 weeks, Kristen shed 30 pounds. Every week, she lost the same amount of weight.
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Find the number of cube of ide 3cm which can be put into a box which ha internal meaurement of 54cm 40cm and 8 cm
Answers
A total of 640 cubes of 3cm size can fit into a box with internal dimensions of 54, 40, and 8 cm.
By using volume, et’s assume that ’n’ cubes can be cut out from the cuboid. The volume of n cubes will be equal to the total volume of the cuboid.
The volume of 1 cube of side 3 cm is (3)^3 = 27 c.c. [volume of a cube of side 'a' is (a)^3]
Now, the volume of cuboid from which the cubes will be cut is 54 X 40 X 8 = 17280 c.c. [volume of a cuboid is length X breadth X height].
Now, the number of cubes that can be cut out from the cuboid (n) = (volume of cuboid)/(volume of 1 cube) => n = 17280/27 = 640.
Hence, a total of 640 cubes of side 3cm can beput into a box which had internal measurement of 54cm 40cm and 8 cm
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Jamaal earns $8. 42 per hour. If he gets a 3% raise, how much will he earn per hour?.
Answers
8.42 + .2526 = 8.6726
rounded to $8.67 per hour
=0.2526
8.42+0.2526= 8.6728
Answer: $8.67
Please hurry I don't have time needs to be done only h and c and an explanation on how you found them please
Answers
Answer:
25 & 37
Step-by-step explanation:
Is the converse of the statement valid?
If b is odd, then b + 6 is odd.
O Yes. If b + 6 is odd, then bis odd.
O Yes. If bis odd, then b + 6 is even.
O No. If b is odd, then b + 6 is odd.
O No. If b + 6 is odd, then bis odd.
Answers
The converse of the given statement is if b+6 is odd then b is odd
And the converse statement is valid
The correct statement is option 1)
What is an odd number?
A number which on dividing by 2 gives remainder as 1 is known as odd number and a number which gives remainder 0 on dividing by 2 is known as even number
We are given a statement as if b is odd then b+6 is odd
The converse of the given statement would be
if b+6 is odd then b is odd
And the statement is true as 6 is an even number then if b+6 is odd iff b is odd
Hence the correct statement is option 1
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Evaluate 4-0.25g+0.5h4−0.25g+0.5h4, minus, 0, point, 25, g, plus, 0, point, 5, h when g=10g=10g, equals, 10 and h=5h=5h, equals, 5.
Answers
The equation, 4 - 0.25g + 0.5h, will be evaluated as equal to: 4.
How to Evaluate an Equation?To evaluate an equation, plug in the values of the variables in the equation and solve to get the simplified value.
Given the equation, 4 - 0.25g + 0.5h, where:
g = 10
h = 5
Substitute g = 10 and h = 5 into the equation 4 - 0.25g + 0.5h, then evaluate:
4 - 0.25(10) + 0.5(5)
Simplify
= 4 - 2.5 + 2.5
= 4 + 0
= 4
Therefore, if g = 10 and h = 5, the equation 4 - 0.25g + 0.5h, is evaluated as: 4.
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The Question:
Evaluate 4 - 0.25g + 0.5h when g = 10 h = 5.
Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.
Given: ∠A and ∠B are complementary angles. ∠B and ∠C are complementary angles.
Prove: ∠A ≅ ∠C
Statements
Reasons
1. Given
2. Definition of complementary angles
3. Substitution property of equality
4. Subtraction property of equality
5. Angles that have equal measure are congruent.
Answers
The blanks in this two-column proof should be completed (filled) as follows:
Statements Reasons_______________
∠A and ∠B are complementary angles. Given
∠B and ∠C are complementary angles.
m∠A + m∠B = 90° Definition of complementary angles
m∠B + m∠C = 90°
m∠A + m∠B = m∠B + m∠C Substitution property of equality
m∠A = m∠C Subtraction property of equality
∠A ≅ ∠C Angles that have equal measure are congruent.
What is a complementary angle?In Mathematics, a complementary angle can be defined as two (2) angles or arc whose sum is equal to 90 degrees (90°).
Mathematically, a complementary angle can be represented by using this mathematical expression:
Q + R = 90°
Where:
Q and R are measure of the angles subtended.
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rewrite this quadratic form to standard form
y= -6 (x-4)x{2}-1
Answers
The equation in standard form is, [tex]y=-6x^2+48x-97[/tex].
What is quadratic form?
A polynomial with all terms of degree two is known as a quadratic form in mathematics. A quadratic form with the variables x and y is, for instance, 4x^2 + 2xy - 3y^2. It is common to refer to a quadratic form over K when the coefficients are typically members of a specified field K, such as the real or complex numbers.
Consider, the given quadratic form
[tex]y=-6(x-4)^2-1\\[/tex]
Simplifying this,
[tex]y=-6(x^2-8x+16)-1\\y=-6x^2+48x-96-1\\y=-6x^2+48x-97[/tex]
Therefore, the standard form of the given quadratic form is, .[tex]y=-6x^2+48x-97[/tex]
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Hegarty maths- Algebra Quadratic sequences & graphs 249 - Use the nth term of a quadratic sequence 1
Please help me TvT
Answers
Answer:
Step-by-step explanation:
T₁ = 1² + 4·1 + 2 = 7
T₂ = 2² + 4·2 + 2 = 14
T₃ = 3² + 4·3 + 2 = 23
22÷(−2)
solve and show how you solved
Answers
I thought of a three digit number. Each digit i the quare of the digit to the right. What i my number
Answers
The three digit number you thought of is 111.
We now have:
According to the question:
N = a*100 + b*10 + c.
where:
b = c^2
a = b^2.
Let's now assign values to c. (here we can start with zero).
If c = 0, then b = 02 = 0 and a = 02 = 0 are the results.
Then N = 0*100 + 0*10 + 0 = 0 (this is not a 3-digit number) is the expression
If c = 1, then b = 12 = 1, then a = 12, and so on.
N = 1*100 + 1*10 + 1 = 111
If c = 2, then b = 2 2 4 a = 4 2 16 will follow.
111 is the only viable choice in this case.
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how many sequences of 's and 's of length are there that begin with a , end with a , contain no two consecutive 's, and contain no three consecutive 's?
Answers
After any particular a, the next a in the sequence must appear exactly 2 or 3 positions down the line. In this case, we start at position b and end at position 19. answer is 65
i.e. we move a total of 18 positions down the line. Therefore, we must add a series of c's and d's to get 18. There are several ways to do this:
Case 1: nine c's - there is only 1 way to arrange them.
Case 2: two d's and six c's - there are 28 ways to arrange them.
Case 3: four d's and three c's - there are 35 ways to arrange them.
Case 4: six c's - there is only 1 way to arrange them.
Summing the four cases gives 1+28+35+1 = 65
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Isabella and her children went into a restaurant and will buy drinks and tacos. Each drink costs $2.75 and each taco costs $2. Isabella has a total of $40 to spend on drinks and tacos. Write an inequality that would represent the possible values for the number of drinks purchased, d, and the number of tacos purchased, t.
Answers
Answer:
d=8
t=9
Step-by-step explanation:
2.75x8=$22
2x9=$18
22+18=40
d=8
t=9
Answer:
2.75d+2t <= 40
Step-by-step explanation:
(03.05 HC)
Belinda is thinking about buying a car for $18,500. The table below shows the projected value of two different cars for three years:
Number of years 1 2 3
Car 1 (value in dollars) 17,390 16,346.60 15,365.80
Car 2 (value in dollars) 17,500 16,500 15,500
Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a car that would have the greatest value in nine years. Will there be any significant difference in the value of either car after nine years? Explain your answer, and show the value of each car after nine years. (4 points)
HELP!!!!!!!
Answers
a. The functions are classified as follows:
Car 1: Exponential.Car 2: Linear.b. The functions are given as follows:
Car 1: c(t) = 17390(0.94)^t.Car 2: c(t) = 17500 - 1000t.c. She should purchase Car 1, as it will have a higher value in nine years.
How to classify the functions?The functions are classified depending if there is an equal factor or an equal difference between consecutive terms, as follows:
Equal factor: exponential.Equal difference: linear.Hence the functions in this problem are classified as follows:
Car 1: Exponential, as there is an equal factor of 16346.6/17390 = 0.94.Car 2: Linear, as there is an equal difference of 1000.Hence the functions are given as follows:
Car 1: c(t) = 17390(0.94)^t. -> initial value multiplied by the equal factor elevated to time.Car 2: c(t) = 17500 - 1000t. -> Initial value subtracted by the equal difference multiplied by time.After nine years, the values are as follows:
Car 1: 17390(0.94)^9 = $9,964.Car 2: 17500 - 9(1000) = $8,500.More can be learned about exponential functions at https://brainly.com/question/25537936
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Answer:
That's right
Step-by-step explanation:
What is the slope of this non-vertical line?
Answers
Answer:
THE SLOPE IS 16
Answer: The slope is 16/1 which is just 16.
Step-by-step explanation:
Answer these for award
Answers
Answer:
1: Supplementary angle; x = 95
2: Complementary angle; x = 31 [(2x-3)+x]
3: vertical angle; x = 90
4: supplementary angle; x = 92 [x+(x-4)]
Step-by-step explanation:
1: 180-85 = 95 (x)
2: (2x-3)+x = 90 evaluates into x = 31
3: all sides are equal so if one side is 90 then the rest are
4: x+(x-4) = 180 evaluates into x = 92
Let me know if you need any more help.
If y varies directly with x when y=68 and x-6, find the value of y when x=24.
Answers
The value of y when x = 24 is 272.
What is proportionality?Proportionality indicates that two quantities or variables are related linearly.
Given that, y varies directly with x when y = 68 and x = 6
y/x = 68/6 = 34/3
Therefore, the proportion is 34/3
when x = 24
34/3 = y/24
y = 272
Hence, y = 272 when x = 24
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Help me I can’t do this
Answers
Answer:
[tex]y = -\frac{7}{20}x + 1[/tex]
Step-by-step explanation:
We have to find the equation of the line that would be made by the stars
This line is parallel to the one already given
Gradients of both lines will be the same
Find out the gradient of the line already given
chose 2 coordinates of the line, I'll choose (0,0) and (-10,3.5)
use the formula
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
[tex]\frac{3.5-0}{-10-0}[/tex]
[tex]-\frac{3.5}{10}[/tex]
-7/20 is the gradient
the star crosses the y axis at y = 1 so the y intercept is 1
y = mx + c
[tex]y = -\frac{7}{20}x + 1[/tex]
SOS pls IM BEGGING I NEED HELP!!!!!!!!!!!!!!!!!
Answers
The ∠3+ ∠1 = 90°. in the given figure are the same just using the properties of Vertically angles.
What is Vertically opposed angles?
Two lines intersecting at a point create vertical angles. Every time they are on an equal footing. Alternatively stated, four angles are created anytime two lines cross or intersect. Two opposed angles are equal and are referred to as vertical angles, as we can see. Due to their position opposite one another, they are also known as "Vertically opposed angles."
Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. The equality of the vertically opposed angles has been established.
∠1 and ∠2 are vertical angles, which means ,
∠1 =∠2
Given in the question is ∠3+ ∠2 = 90
As both ∠1 and ∠2 are the same so we can write ∠3+ ∠1 = 90°.
Hence, The ∠3+ ∠1 = 90°. in the given figure are same.
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giving 60 point if u do
Answers
The percentage error of Bob’s measurement to the nearest tenth of a percent is 3.87%
The percentage error is The difference between the estimated value and the actual value in relation to the actual value is given as a percentage. Analyst use this formula to determine how big is the error in a relation to true value.
Here, given that
The experimental volume of liquid is 18.8 ml, and the actual volume of liquid is 18.1 ml
i.e. exprimental volume=18.8 mL
and, actual volume=18.1 mL
Now, we will calculate the percentage error
So,
percentage error=((Exprimental value-Actual value)/(Actual value))∙100
percntage error=((18.8-18.1))/18.1∙100
percentage error=0.7/18.1∙100
percentage error=0.0387∙100
percentage error=3.87%
Thus,
We got percentage error of 3.87% in measurement
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a prism is made up of 120 equal cubes. if the volume of the prism is 25, 920 cm3, what is the length of each cube?
Answers
The side of the cube is 6 cm.
What is the Volume of a prism?
The area that a prism takes up is referred to as its volume. A prism is a solid, three-dimensional structure with two identical faces and additional faces that resemble parallelograms. It is a polyhedron whose nomenclature is influenced by the various basic forms. Every prism has a particular base, whether it be a triangular prism (triangular base), square prism (square base), rectangular prism (rectangular base), pentagonal prism (pentagonal base), hexagonal prism (hexagonal base), or an octagonal prism (octagonal base). Consequently, because a prism is a three-dimensional form, its volume likewise exists in a three-dimensional plane. Prisms are measured in terms of their volume in cubic meters, cubic millimeters, cubic inches, or cubic feet. Following are the steps to calculate the prism's volume:
Write down the prism's dimensions as specified in step one.
Step 2: Use the formula V = B H to calculate the prism's volume. V, B, and H stand for the prism's volume, base area, and height, respectively.
Step 3: After obtaining the volume of the prism's value, add the unit of prism volume at the conclusion (in terms of cubic units).
In the question, we have given that:
Prism is made up of 120 equal cubes;
The volume of the prism is 25, 920[tex]cm^{3}[/tex];
So, we can equate the volume of 120 equal cubes with the prism's volume;
⇒ 120 × [tex](a)^{3}[/tex] = 25, 920;
⇒[tex](a)^{3}[/tex] = [tex]\frac{25920}{120}[/tex]
⇒[tex](a)^{3}[/tex] = 216;
So, the value of a is 6 cm;
That is the side of the cube is 6 cm;
Hence, The side of the cube is 6 cm.
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A baseball used by a professional baseball team must have a diameter that is between 2.86 inches and 2.94 inches. which of the following could be the diameter of a baseball used by a professional baseball team? A. 2 7/8 inches
Answers
The option that could be the diameter of a baseball used by a professional baseball team is A. 2 7/8 inches.
How to calculate the diameter?From the information, the baseball used by a professional baseball team must have a diameter that is between 2.86 inches and 2.94 inches.
In this case, 2 7/8 inches to decimal is 2.875
2 7/9 inches will be 2.778
2 8/10 will be 2.8
2 9/11 inches will be 2.818
Therefore, the correct option is A as it fits tye value given.
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Complete question
A baseball used by a professional baseball team must have a diameter that is between 2.86 inches and 2.94 inches. which of the following could be the diameter of a baseball used by a professional baseball team?
A. 2 7/8 inches
B 2 7/9 inches
C 2 9/11 inches
D. 2 8/10 inches.
The expression 3(s + 4)2 + 12 models the height of a falling ball after s seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball.
What is the initial height?
A. 12 feet
B. 15 feet
C. 24 feet
D. 60 feet
Answers
Answer:A
Step-by-step explanation:
The initial height is 12 feet.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3 (x + 4)² + 12
The constant value = 12
The constant in the simplified form of the expression represents the initial height, in feet, of the ball.
So,
The initial height is 12 feet.
Thus,
Initial height = 12 feet.
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Line m passes through the points ( 2, -7 ) and ( 4 , -9 ) . Line m is parallel to which of the following lines ?
Answers
Answer: 6 -3
Step-by-step explanation: i just took the test
Answer:
(-6,3) (5,-9)
Step-by-step explanation:
The perimeter of the parallelogram is 102 feet. Find m. Write your answer as a decimal or mixed number.
Answers
If the perimeter of the parallelogram is 102 feet, then the value of m is 12.75
The perimeter of the parallelogram = 102 feet
The perimeter of the parallelogram = 2(l + w)
Where l is the length and w is the width of the parallelogram
The length of the parallelogram = 3m
The width of the parallelogram = m
Substitute the values in the equation of the perimeter
102 = 2(3m + m)
102 = 2(4m)
102 = 8m
m = 102 / 8
Divide the terms
m = 12.75
Hence, if the perimeter of the parallelogram is 102 feet, then the value of m is 12.75
The complete question is:
The perimeter of the parallelogram is 102 feet. Find m. Write your answer as a decimal or mixed number.
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