Respuesta :

Answer:

  x = 9

Step-by-step explanation:

Corresponding sides are proportional when the triangles are similar. That means ...

  (x -4)/8 = (x +3.5)/20

  5(x -4) = 2(x +3.5) . . . . . multiply by 40

  5x -20 = 2x +7 . . . . . . . eliminate parentheses

  3x = 27 . . . . . . . . . . . . . add 20-2x

  x = 9 . . . . . . . . . . . . . . . divide by 3