Answer:
A
Step-by-step explanation:
Δ ABE and Δ DCE are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{BE}{CE}[/tex] = [tex]\frac{AE}{DE}[/tex], substituting values gives
[tex]\frac{BE}{3}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )
2BE = 15 ( divide both sides by 2 )
BE = 7.5 → A
