Respuesta :

Answer:

x = 15

Step-by-step explanation:

Create and solve an equation of ratios.  We can do this because the smaller triangle and the larger one are similar.

  x          5 + x

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

   9         9 + 3

Cross-multiplying, we get 12x = 45 + 9x,

which simplifies to 3x = 45

Solving for x, we get x = 15