Answer:
x = 10
Step-by-step explanation:
The segment parallel to the third side of the triangle and intersecting the other 2 sides, divides those sides proportionally, that is
[tex]\frac{2x-5}{10}[/tex] = [tex]\frac{28-8}{8}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8(3x - 5) = 200 ← distribute left side
24x - 40 = 200 ( add 40 to both sides )
24x = 240 ( divide both sides by 24 )
x = 10
