Question

How do I do this problem? (Similar triangles)

Answer 1

Answer:

x = -78

Step-by-step explanation:

Write and solve an equaiton of ratios, as follows:

hypotenuse to hypotenuse:

         57                 51

 ----------------- = ---------------

      2x + 7             x + 4

Cross-multiplying, we get:

57x + 228 = 102x + 351

Combining the x terms on the right, we get:

          228 = 45x + 351

Combining the constants on the left:

           -123 = 45x, and so x = -123/45 = -78

x = -78