Respuesta :

Answer:

x = 12.8

Step-by-step explanation:

To find the value of x, set up a proportion between the two similar triangles. Then solve for x.

[tex]\frac{32}{32+x} = \frac{40}{56}[/tex]

Solve by cross multiplying and isolating x.

32(56) = 40(32+x)

1792 = 1280 + 40x

512 = 40x

12.8 = x