Question

I need assistance!!!!

Answer 1

Explanation:

Because midpoints were used to make similar triangles we can say

AC=2(DE)

5x+12=2(9x-20)

5x+12=18x-40

-13x+12=-40

-13x=-52

x=4

AC=5x+12

AC=5(4)+12

AC=20+12

AC=32

Answer 2

Explanation:

DE = (1/2) * AC {Midpoint theorem}

`9x - 20 =(1)/(2)(5x + 12)`

2(9x - 20) = 5x + 12

2*9x - 2*20 = 5x + 12

18x - 40 = 5x + 12

18x -5x - 40 = 12

13x - 40 = 12

13x = 12+40

13x = 52

x = 52/13

x = 4

AC = 5x + 12

= 5*4 + 12

= 20 +12

AC = 32