Question

Solve for X. Show all work! Pleasseeee help meeeee!

Answer 1

Answer:

The answer to your question is x = 19/2 = 9.5

Step-by-step explanation:

Use proportions to solve this problem

1.- Big triangle

                       $\frac{(x + 3) + (x - 2)}{5 + 3}$

2.- Small triangle

                      $\frac{x - 2}{3}$

3.- Equal both equations

                      $\frac{(x+ 3) + (x - 2)}{5 + 3} = \frac{x - 2}{3}$

4.- Simplify

                    3[(x + 3) + (x - 2)] = 8(x - 2)

                    3x + 9 + 3x - 6 = 8x - 16

                    6x + 3 = 8x - 16

                    6x - 8x = - 16 - 3

                           -2x = - 19

                              x = 19/2