AABC is dilated by a factor of į to produce AA'B'C! 37
12
15
53
9
с
What is AC, the length of AC after the dilation? What is the measure of ZA?
A. A'C' = 5, m ZA= 12
O B. A'C' = 5, mZA'= 37°
O C. A'C' = 45, m A'= 37°
D. A'C' = 4, mZA'= 53°

Explanation:

Let’s take kids as x and adults as y

According to the question,

5x + 2y = 25 (1)
3x + 1y = 14 (2)

Let’s multiply (2) with 2 so take we can solve the equations

5x + 2y = 25
6x + 2y = 28
(-) (-) (-)

-1x = = -3
x = 3

Substituting to get y

3x + 1y = 14
3(3) + y = 14
y = 14-9
y = 5

Therefore, each child’s skate rental (x) costs $3 and each adults’s skate rental (y) costs $5

Hope it helped! :)