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Answer:
4) 7
5) -12
Step-by-step explanation:
4) 5x+2= 37
5x= 37-2
x= 35/5
x= 7
5) -6x-7= 65
-6x= 65+7
x= 72/-6
x= -12
When a triangle is dilated, the size of the triangle changes.
<em>The image of </em>
<em> are:</em>
![A' = (7,12)](https://tex.z-dn.net/?f=A%27%20%3D%20%287%2C12%29)
![B' = (13,8)](https://tex.z-dn.net/?f=B%27%20%3D%20%2813%2C8%29)
![C' =(5,0)](https://tex.z-dn.net/?f=C%27%20%3D%285%2C0%29)
We have:
![A = (9,13)](https://tex.z-dn.net/?f=A%20%3D%20%289%2C13%29)
![B = (12,11)](https://tex.z-dn.net/?f=B%20%3D%20%2812%2C11%29)
![C = (8,7)](https://tex.z-dn.net/?f=C%20%3D%20%288%2C7%29)
![k = 2](https://tex.z-dn.net/?f=k%20%3D%202)
Start by multiplying the scale factor by the coordinates of ![\triangle ABC](https://tex.z-dn.net/?f=%5Ctriangle%20ABC)
![A = (9,13) \times 2](https://tex.z-dn.net/?f=A%20%3D%20%289%2C13%29%20%5Ctimes%202)
![A = (18,26)](https://tex.z-dn.net/?f=A%20%3D%20%2818%2C26%29)
![B = (12,11) \times 2](https://tex.z-dn.net/?f=B%20%3D%20%2812%2C11%29%20%5Ctimes%202)
![B = (24,22)](https://tex.z-dn.net/?f=B%20%3D%20%2824%2C22%29)
![C =(8,7) \times 2](https://tex.z-dn.net/?f=C%20%3D%288%2C7%29%20%5Ctimes%202)
![C =(16,14)](https://tex.z-dn.net/?f=C%20%3D%2816%2C14%29)
Subtract the center of dilation from the above coordinates
![A' = (18,26) - (11,14)](https://tex.z-dn.net/?f=A%27%20%3D%20%2818%2C26%29%20-%20%2811%2C14%29)
![A' = (18-11,26-14)](https://tex.z-dn.net/?f=A%27%20%3D%20%2818-11%2C26-14%29)
![A' = (7,12)](https://tex.z-dn.net/?f=A%27%20%3D%20%287%2C12%29)
![B' = (24,22) - (11,14)](https://tex.z-dn.net/?f=B%27%20%3D%20%2824%2C22%29%20-%20%2811%2C14%29)
![B' = (24-11,22-14)](https://tex.z-dn.net/?f=B%27%20%3D%20%2824-11%2C22-14%29)
![B' = (13,8)](https://tex.z-dn.net/?f=B%27%20%3D%20%2813%2C8%29)
![C' =(16,14) - (11,14)](https://tex.z-dn.net/?f=C%27%20%3D%2816%2C14%29%20-%20%2811%2C14%29)
![C' =(16 - 11,14 - 14)](https://tex.z-dn.net/?f=C%27%20%3D%2816%20-%2011%2C14%20-%2014%29)
![C' =(5,0)](https://tex.z-dn.net/?f=C%27%20%3D%285%2C0%29)
Hence, the image of
are:
![A' = (7,12)](https://tex.z-dn.net/?f=A%27%20%3D%20%287%2C12%29)
![B' = (13,8)](https://tex.z-dn.net/?f=B%27%20%3D%20%2813%2C8%29)
![C' =(5,0)](https://tex.z-dn.net/?f=C%27%20%3D%285%2C0%29)
Read more about dilations at:
brainly.com/question/13176891
Answer:
3
Step-by-step explanation:
Plug in 6 for the y value. Solve for x.
Answer:
A expression
B Formula.
C. Identity
D. Equation.
Step-by-step explanation:
B is the formula for the perimeter of a rectangle.
C is an identity because we can fit any value to the variable.
D is an equation .
D. is an equation because only one value of x (3) fits.