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irspow

Answer:

Step-by-step 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

devishri1977

Answer:

Step-by-step explanation:

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

[tex]9x - 20 =\frac{1}{2}(5x + 12)[/tex]

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

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