Answer:
x = 7.5
Step-by-step explanation:
Given that BE is parallel to CD and intersects the 2 other sides, then it divides the 2 sides in proportion, that is
[tex]\frac{AB}{BC}[/tex] = [tex]\frac{AE}{ED}[/tex], substitute values
[tex]\frac{x}{6}[/tex] = [tex]\frac{10}{8}[/tex] ( cross- multiply )
8x = 60 ( divide both sides by 8 )
x = 7.5
