Respuesta :

Answer:

x = 26

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, thus

x + 9 = [tex]\frac{1}{2}[/tex](3x - 8) ( multiply both sides by 2 to clear the fraction )

2(x + 9) = 3x - 8

2x + 18 = 3x - 8 ( subtract 2x from both sides )

18 = x - 8 ( add 8 to both sides )

26 = x

your answer is x=26