A segment is connected to two sides of a triangle so that it is parallel to the third side. What is the value of x?

A

Step-by-step explanation:

Set up a ratio for the two triangles that are there.

x/(x + 10) = 20 / (20 + 8)         Combine the two terms in the right denominator

x/(x + 10) = 20/28                   Cross Multiply

28x = 20(x + 10)                      Remove the brackets on the right

28x = 20 x + 200                    Subtract 20x from both sides

8x = 200                                  Divide by 8

x = 200 /8

x = 25