Respuesta :

Answer:

27 =x

Step-by-step explanation:

We can use proportions to solve this problem.  Put the side of the small triangle over the same side of the large triangle.

x+8          10

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

2x-5          14

Using cross products

14 (x+8) = 10 (2x-5)

Distribute

14x+112 = 20x-50

Subtract 14x from each side

14x-14x +112 = 20x-50-14x

112 = 6x-50

Add 50 to each side

112+50 = 6x-50+50

162 = 6x

Divide by 6

162/6 =6x/6

27 =x