Respuesta :

Answer:

x = 11

Step-by-step explanation:

Because the triangles are similar, the following is true:

12         2x + 5

--- = -------------------

8            x + 7

Cross multiplying produces the following equation:

12x + 84 = 16x + 40.

Combining the x terms, we get 84 = 4x + 40

Combining the constant terms, we get 4x = 44, so that x = 11.