Which of the following are congruence transformations? Check all that apply.A. Rotating
B. Stretching
C. Shrinking
D. Reflecting
E. Translating

Answers

Answer 1

Answer: Congruence refers to the exact similarity in terms of the dimensions of a shape or polygon including as well as the angles of the shape. Rotating does not change the image, as well as reflecting and translating. Hence the answers that apply are A, D and E.

Answer 2

Answer:

The answer choices which represent congruencetransformations are; Choice A; Rotating, Choice D; Reflecting and Choice E; Translating.

Which of the following are congruence transformations?

According to the task content; it follows that the answer choices which represent congruence transformations be identified.

Congruence transformations are simply characterized by the fact the size of the object undergoing transformation remains unchanged after transformation. Hence, such congruence transformations are as identified above.

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Math help please? There are 12 more toy cars than toy trucks in a box with a total of 38 toy cars and toy trucks. How many toy trucks are in the box? Please explain. I hate this ratio

Answers

Let, the number of toy trucks = x
Then, number of toy cars = (x + 12)

Now, we have: x + x+12 = 38
2x + 12 = 38
2x = 38 - 12
2x = 26
x = 26/2
x = 13

So, there are 13 toy trucks in total.

Hope this helps!

Solve quadratic equation by completing the square
x²+2x-15=0

Answers

$x^2+2x-15=0\n\nx^2+2x\cdot1+1^2-1^2=15\n\n(x+1)^2-1=15\n\n(x+1)^2=15+1\n\n(x+1)^2=16\iff x+1=4\ or\ x+1=-4\n\nx=4-1\ or\ x=-4-1\n\n\underline{\underline{x=3\ or\ x=-5}}$

20 is what % greater than 5

Answers

find how much greater 20 is than 5
20-5=15
the % is of 5, so the percent is percent out of 5

20 is x% of 5 greater than 5
20=(x%)5+5
minus 5 both sides
15=(x%)5
divide both sides by 5
3=x%
percent means parts out of 100
x%=x/100
3=x/100
times 100 both sides
300=x

answer is 300%

Which set of ordered pairs (x, y) could represent a linear function?A = {(-6,3), (-3,0), (0, -3), (3,-5)}
B= Y(-1,2), (2, 1), (5,0), (8, -1)}
C = {(-4,-7), (-1, -3), (2.0), (5,3)}
D = {(-5, -8), (-2,-4), (1,1), (4,6)}

Answers

Set of ordered pairs (x, y) could represent a linear function

B= {(-1,2), (2, 1), (5,0), (8, -1)}

Option B is correct

Linear Function

Linear function is a function whose graph is a straight line .

Slope

Slope of a line tells us how steep the line is . Slope of a line is same at all the points.

Slope formula is $(y_2-y_1)/(x_2-x_1)$

Lets find out slope of any two points in each option

A = {(-6,3), (-3,0), (0, -3), (3,-5)}

$(0-3)/(-3+6) =-1\n(-5+3)/(3-0) =-(2)/(3) \n$

Slopes are not same

Lets check the second option

B={(-1,2), (2, 1), (5,0), (8, -1)}

$(1-2)/(2+1) =(-1)/(3) \n(0-1)/(5-2) =(-1)/(3) \n(-1-0)/(8-5) =(-1)/(3) \n$

The slope of any two points are equal .

slope are same . So it represents a linear function .

C = {(-4,-7), (-1, -3), (2.0), (5,3)}

$slope =(-3+7)/(-1+4)=(4)/(3) \nslope =(0+3)/(2+1)=(3)/(3)=1$

Slopes are not same . So it is not a linear function

D = {(-5, -8), (-2,-4), (1,1), (4,6)}

$slope = (-4+8)/(-2+5)= (4)/(3) \nSlope = (1+4)/(1+2)= (5)/(3) \n\nslope = (6-1)/(4-1)= (5)/(3) \n$

Slopes are not same . so it is not a linear function .

Option B is correct.

Learn more information about 'linear function' here

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What mixed number is 3/8 of 100

Answers

3/8 0f 100
100 / 8 = 12.5
Now, let's multiply this by 3 to be able to get the value
=> 12.5 * 3 = 37.5 is the value of 3/8 of 100.
This is a mixed number because its a combination of whole and decimal numbers.

The mixed number that represents 3/8 of 100 is 37 1/2.

To find the mixed number that represents 3/8 of 100, we need to divide 100 by 8 and then multiply the result by 3. This will give us the fractionalpart of the mixed number.

First, let's calculate 100 divided by 8:

100 ÷ 8 = 12.5

Next, we multiply the result by 3 to find 3/8 of 100:

12.5 × 3 = 37.5

The fractional part of the mixed number is 3/8 of 100, which is 37.5.

Now, let's convert this fractional part into a mixed number. Since the fractional part is 37.5, we know that the whole number part of the mixed number is 37. The fractional part can be represented as 5/10 or 1/2 because 5 is half of 10.

Therefore, the mixed number that represents 3/8 of 100 is 37 1/2.

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Last year the enrollment of genoa middle school was 465 students. this year the enrollment is 525.