Line segments are congruent if they have the same length.
∠ ACB ≅ ∠ ABC
What is meant by congruent segments?Segments of the same length are said to be congruent. Collinear points are those that share a line. A mathematical assertion that can be validated is known as a theorem. A point that separates a segment into two congruent segments is the segment's midpoint.
Line sections are harmonious assuming that they have a similar length. You can utilize tick imprints to demonstrate harmonious line sections. In the triangle underneath, line fragments Stomach muscle and BC are harmonious.
Harmonious portions are sections that have a similar length. ≅ Focuses that lie on a similar line are called collinear. A hypothesis is a numerical explanation that can be demonstrated. The midpoint of a section is a point that separates the portion into two harmonious fragments.
Therefore, ∠ ACB ≅ ∠ ABC
The complete question is:
a. Name two unmarked congruent segments.
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Write an equation of a circle with the given center and radius. Check your answers.
center (-1.5,-3) , radius 2
The equation of the circle with radius 2 and center at (-1.5 , -3) is (x + 1.5)^2 + (y + 3)^2 = 4.
The general form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (-1.5 , -3)
r = 2
(x - -1.5)^2 + (y - -3)^2 = 2^2
(x + 1.5)^2 + (y + 3)^2 = 4
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Need help asap!!
Which of the following lists is in order from least to greatest?
√5 , 4, 3 2, -2
-2,√5 , 4, 3 2
-2, 4, 3 2, √5
-2, 3 2, 4, √5
Thanks!
The numbers in the second option is from the least to the greatest.
How to find the list from least to greatest?The numbers can be list from least to greatest as follows:
√5 , 4, 32, -2
32 is greater than -2.
Therefore, the numbers in first option is not from the least to the greatest.
-2,√5 , 4, 32
The number increases.
Therefore, the numbers in the second option is from the least to the greatest.
-2, 4, 32, √5
32 is greater than √5.
Therefore, the numbers in third option is not from the least to the greatest.
-2, 3 / 2, 4, √5
4 is greater than √5.
Therefore, the numbers in fourth option is not from the least to the greatest.
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Geometry: fill in the blanks (ASAP!)
Isaac saves 20% on a hard drive that costs $110 but must pay 6% sales tax. What is the total amount that he must pay at the store?
A. $93.28
B. $88.00
C. $106.00
D. $140.80
E. None of the above
The answer is 93.28
Step-by-step explanation:
The reason why is because 110 - 20% would leave you only paying 88 dollars. but when you add the 6% sales tax you get 93.28
find the area of the polygon
7 ft, 22 ft, 10 ft.
what is the area of the polygon?
Answer:1540
Step-by-step explanation: I hope this helps
Which expressions are equivalent to -6(b+2)+8−6(b+2)+8minus, 6, left parenthesis, b, plus, 2, right parenthesis, plus, 8 ?
The equivalent expression of -6(b + 2) + 8 is -6b - 4
How to determine the equivalent expression?The expression is given as
-6(b + 2) + 8
Expand
-6b - 12 + 8
Evaluate the like terms
-6b - 4
Hence, the equivalent expression of -6(b + 2) + 8 is -6b - 4
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Type the correct answer in the box. round your answer to the nearest whole number. dylan has two cubes of iron. the larger cube has twice the mass of the smaller cube. he measures the smaller cube. its mass is 20 grams, and its density is 7.87 g/cm3. what’s the larger cube’s volume? the larger cube’s volume is about cm3.
The larger cube's volume is 5.08 cm³.
As per the given information, expressing the relation between the mass of iron cubes -
Mass of large iron cube = 2×mass of small cube
Mass of large iron cube = 2×20
Performing multiplication to find the mass
Mass of large iron cube = 40 grams
Now calculating the volume of large iron -
Density = mass ÷ volume
Keep the values in formula to find the volume of cube -
Volume = mass ÷ density
Volume = 40 ÷ 7.87
Performing division to find the volume of cube -
Volume = 5.08 cm³
Hence, the volume of larger iron cube is 5.08 cm³.
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The midpoint of CD is M(–9, –8). One endpoint is D(–9, –7). Find the coordinates of the other endpoint C
Use the link below to answer your question:
https://www.omnicalculator.com/math/endpoint
Hope this helps!
PROOF Write a flow proof.
Given: MJ ≅ ML ; K is the midpoint of JL .
Prove: Δ M J K ≅ ΔM L K
Corresponding angles of congruent must be equal .
What exactly do you mean by congruent?
If two numbers can be placed exactly over one another, they are said to be "congruent." When placed one on top of the other, the two bread slices are the same size and form. Things that are precisely the same size and shape are said to be congruent.Given , L is mid point of JL .
JL = LN Mid point
L is mid point of KM .
KL = LM Mid point
JM = NK Given
Δle JLM ≅ Δ le KLN ( SSS)
∠MJL ≅ ∠ KNL
Corresponding angles of congruent must be equal .
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In ΔVWX, the measure of ∠X=90°, XW = 48, WV = 73, and VX = 55. What is the value of the sine of ∠W to the nearest hundredth?
Answer: sinW≈0.75
Step-by-step explanation:
[tex]m\angle X=90^0\ \ \ \ XV=48\ \ \ \ \ WV=73\ \ \ \ \ VX=55\ \ \ \ sinW=?[/tex]
The sine theorem: The sides of a triangle are proportional to the sines of the opposing angles
Hence,
[tex]\displaystyle\\\frac{WV}{sinX} =\frac{VX}{sinW} \\\\\frac{73}{sin90^0} =\frac{55}{sinW} \\\\\frac{73}{1} =\frac{55}{sinW} \\\\sinW=\frac{55}{73} \\\\sinW\approx0.75[/tex]
w+1/7z=4
z=3w-2 using substitution
Answer:
w = - 2/7 + 4
w = z/3 + 2/3
Step-by-step explanation:
Joshua decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches then throws back into the water. After plotting all his data, he draws a line of best fit. What is the meaning of the x-value on the line when y=29?
The x value when y = 29 implies that the length in inches when the weight of the specie is 29
What is the meaning of the x-value on the line when y =29?The given parameters are:
The plot is about the relationship between the length in inches and the weight of a certain species of catfish
This implies that
x represents the length in inches y represents the weight of the speciesWhen the graph is plotted, the x value when y = 29 implies that the length in inches when the weight of the specie is 29
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Write an equation in slope-intercept form for each line.
(-5,-3) and (10,-6)
A slope-intercept equation for each line (-5,-3) and (10,-6)
y = (3/5)x + 3.
How do you calculate the intercept form?The slope-intercept form of the line's equation is y = MX + b, where the material has deposited the slope and b symbolizes the y-intercept. We can see from our equation, y = 7 x + 4, that the y-intercept of the line is 4.
According to the given data:To begin, are using the slope formula to figure out the average slope between two points here.
Let:
x1 = -5
y1 = -3
x2 = 10
y2 = -6
m = (y2-y1)/(x2-x1)
= (-6 - (-3))/ (-10-(-5))
= -3/(-5)
= 3/5
So the slope is 3/5.
We must now find the y-intercept. This will be performed by translating one of the points and the slope into to the point-slope form of a linear equation. y2-y1 = m(x2-x1).
Let’s plug in the point (10,-5).
So we get y-(-3) = (3/5)(x-(-5)) ⇒ y+3
= (3/5)x + 3 ⇒ y
= (3/5)x + 3.
So y = (3/5)x + 3.
a slope-intercept equation for each line (-5,-3) and (10,-6)
y = (3/5)x + 3.
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Which expression is equivalent to (3x^−4y^5) ^−2?
A: -9^8y^10
B: x^8/ 9y^10
C: -9x^8/ y^10
D: 1/ 9x^8y^10
(x's are variables not multiplication) (dashes resemble fractions) (^ resembles powers)
The equivalent expression to the given one is x^8/(9*y^10)
So the correct option is B.
Which expression is equivalent to (3x^−4y^5) ^−2?Here we just need to operate with the exponent properties that we know and love.
Remember that:
(a^n)^m = a^(n*m)
Then if we apply that to our case we will get:
(3x^−4y^5) ^−2 = (3^(-2)*x^(-4*-2)*y^(5*-2))
= (3^(-2)*x^8*y^(-10)
Now remember that negative exponents just "move" the number to the denominator position, this means that:
3^-2 = 1/3^2 = 1/9
Then we can rewrite our expression as:
(3^(-2)*x^8*y^(-10) = x^8/(9*y^10)
That is the equivalent expression to the given one.
The correct option is B.
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Can someone help me on this question and explain the process?
Solve for x. The triangles in each pair are similar.
Answer:
x = 10
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{TS}{TB}[/tex] = [tex]\frac{TR}{TC}[/tex] ( substitute values )
[tex]\frac{10x+17}{65}[/tex] = [tex]\frac{90}{50}[/tex] ( cross- multiply )
50(10x + 17) = 90 × 65 = 5850 ( divide both sides by 50 )
10x + 17 = 117 ( subtract 17 from both sides )
10x = 100 ( divide both sides by 10 )
x = 10
Use the Distance Formula to calculate the distance between points A (-4, 2) and B (0,-2), and round your answer to 1 decimal place.
The distance between the given 2 points using the distance formula is 4√2.
What is the Distance Formula?Distance is a numerical or qualitative measurement of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage.So, the Distance formula: [tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Substitute values in the distance formula as follows:
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\d=\sqrt{\left(0-(-4)\right)^2+\left((-2)-2\right)^2}\\d=\sqrt{\left(4\right)^2+\left(-4\right)^2}\\\\d=\sqrt{16+16}\\d=\sqrt{32}\\\\d=\sqrt2*2*2*2*2\\d=2*2\sqrt2\\\\d=4\sqrt2[/tex]
Therefore, the distance between the 2 points is 4√2.
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Simone calculates the volume of a cube with side length 2.3 cm to be 6.9 cm3. Meiki says the volume is 12.167 cm3. Who is correct, and why?
Step-by-step explanation:
Philipp Heinrich Scheidemann was a German politician of the Social Democratic Party of Germany. In the first quarter of the 20th century he played a leading role in both his party and in the young Weimar Republic. Wikipedia
Born: July 26, 1865, Kassel, Germany
Died: November 29, 1939, Copenhagen, Denmark
Party: Social Democratic Party of Germany
Spouse: Johanna Dibbern (m. 1889–1926)
Previous offices: Mayor of Kassel (1919–1925), Chancellor of the German Reich (1919–1919), More
Books: The Making of New Germany: The Memoirs of Philipp Scheidemann
Nationality: German, Weimar
Evaluate each function for the given value of x , and write the input x and output f(x) as an ordered pair.
f(x)=11 x-11 for x=-11
f(-11) = -132 is the output for the given input .
How can you tell whether a function is linear or not?
Looking at a function's graph will reveal if it is linear or not with the greatest ease.When a linear function is plotted on a graph, a straight line is formed. A nonlinear function is curved in some way; it does not form a straight line.f(x)= 11 x-11
Put x = -11 ⇒ 11 * - 11 - 11
⇒ - 121 - 11
⇒ -132
Therefore f (-11) = -132
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(3x + 4)(x + 2x + 3)
Answer:
9x^2 + 21x + 12
Step-by-step explanation:
(3x+4)(x+2x+3)
Combine x and 2x to get 3x.
(3x+4)(3x+3)
Apply the distributive property by multiplying each term of 3x+4 by each term of 3x+3.
9x^2 + 9x + 12x + 12
Combine 9x and 12x to get 21x.
9x^2 + 21x + 12
what equation can represent 27 divided by 6 to represent the unknown quantity
Answer:
27÷6=? Answer is 4.5
Step-by-step explanation:
All you have to do is do 27/6 and the answer (unknown quantity) is 4.5.
Is it possible for an inconsistent linear system to contain two lines with the same y -intercept? Explain.
If they have the same slope and different intercepts then they are parallel and there is no solution to the system.
If the two lines have different slopes, the system has exactly one solution (whether the lines have the same intercept or different intercepts).
If they have the same slope and the same intercept they are the same line, so there are infinitely many solutions to the system.
If they have the same slope and different intercepts then they are parallel and there is no solution to the system.
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18/12 pls??? Someone help
Answer:
3/2
Step-by-step explanation:
[tex]\frac{18}{12}=\frac{6(3)}{6(2)}=\frac{3}{2}[/tex]
need working out pls
As shown in the above figure:
AB = 4m, AD = 8m, AC = 3m, DE = 12m
Problem A:Ratio of the length AB to the length AD
[tex] →\frac{AB}{AD} = \frac{4}{8} = \frac{1}{2} [/tex]
Ratio = 1:2
Problem B:The length AE
[tex] \frac{AB}{AD} = \frac{AC}{AE} → \frac{4}{8} = \frac{3}{AE} [/tex]
Cross multiply the above.
[tex]4AE = 24[/tex]
Divide both sides by 4
[tex]AE = 6m[/tex]
Problem C:The length BC
[tex] \frac{AB}{AD} = \frac{BC}{DE} → \frac{4}{8} = \frac{BC} {12} [/tex]
Cross multiply the above
[tex]8BC = 48[/tex]
Divide both sides by 8
[tex]BC = 6m[/tex]
Please mark my answer brainliest
9. Writing to Explain Explain why you do not have to do any
computing to solve 15 X 0 X (13 + 7).
Answer:
because the answers 0 -
Explanation:
15 x 0 x (13+7)
= 15 x 0 x 20
= 0 x 20
= 0
Find the distance between the points (-5, -4) and (7, -4).
Answer:
12
Step-by-step explanation:
the distance would be 12 because if you see the y values they are both -4 so they dont have any distance between them. Now if u look in the x values you will see different values -5 and 7 what u have to do now is do the equation 7 - - 5 which will be 12 because minus and minus will be plus so 7 plus 5 is 12, the distance between those points is 12.
Hope this answers ur question.
If you vertically compress the absolute value parent function, f(x) = Ixl, by a
factor of 3, what is the equation of the new function?
OA. g(x) = 1x - 31
OB. g(x)=x
O C. g(x) = 31x1
O D. g(x) = 13x|
Answer:
The equation for new function is
Step-by-step explanation:
We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.
If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.
We have below conditions for vertical stretch and compression.
a > 1 => vertically stretch
0 < a < 1 => vertically compression
Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3
Therefore, the equation for new function is
Step-by-step explanation:
g(x) = 1/3 |x| !
Which equation is parallel to 4x- 2y = 6 and passes through (0, 1)
The equation that is parallel to 4x- 2y = 6 and passes through (0, 1) is y = 2x + 1
How to determine the linear equation?The given parameters are
4x - 2y = 6
Divide through by 2
So, we have
2x - y = 3
Make y the subject of formula
So, we have
y = 2x + 3
A linear equation is represented as
y = mx + c
Where
Slope = m
This means that
m = 2
Parallel lines have equal slopes
So, the slope of the other line is
m = 2
The point on the line is given as (0, 1)
The equation is then calculated as
y = m(x- x1) + y1
So, we have
y = 2(x - 0) + 1
Evaluate
y = 2x + 1
Hence, the equation that is parallel to 4x- 2y = 6 and passes through (0, 1) is y = 2x + 1
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What is the slope of the line passing through the following points? (2,4) and (4,2)
The slope of the line passing through the points (2,4) and (4,2) is -1
How do you determine a line's slope?
Determine the coordinates of two locations along the line that you choose. Find the difference between these two locations' y-coordinates (rise). Find the difference between these two locations' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.
Formula to determine the slope is - y₂ - y₁ / x₂ - x₁
Given are the points -
(2,4) and (4,2)
slope of the line = 2 - 4 / 4 - 2
= -2 / 2
= -1
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Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. y=4 x(7-2 x)
The given function
f(x) = y = 4x(7 - 2x) , is a Quadratic function
where its quadratic term is -8x².
Its linear term is 28x
Constant 0
What is a function?A function is a mathematical expression or equation that allows us to visualize graphically the behavior of a function. A function is not real when it cuts the vertical axis at the same point of x.
A function can be linear or quadratic, this is evidenced by the higher exponential degree, in our case we have the following function:
f(x) = -2(3+x)²+2x² we solve the function that seems to be quadratic because it has the highest degree the number "2" in the variable, however we will solve its reduction.
4x (7 - 2x) we apply the distributive property
28x - 8x² is a quadratic function
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Connor has a biased dice. The
probability of it landing on a
three is 0.8. Connor is going to
throw the dice 120 times.
Work out an estimate for the
number of times the dice will
land on a three.
Step-by-step explanation:
120×0.8
120/10)×8
=12×8
=96
The estimated number of times the dice will land on a three in 120 throws is 96 times.
We have,
To estimate the number of times the biased dice will land on a three, we can use the probability of getting a three in a single throw and multiply it by the total number of throws.
Probability of landing on a three in a single throw = 0.8
Total number of throws = 120
Estimated number of times the dice will land on a three
= Probability of landing on a three × Total number of throws
Estimated number of times = 0.8 × 120
Estimated number of times = 96
So, based on the biased dice with a probability of 0.8 for landing on a three, the estimated number of times the dice will land on a three in 120 throws is 96 times.
Thus,
The estimated number of times the dice will land on a three in 120 throws is 96 times.
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