Answer:
x = 10, y = 7.5
Step-by-step explanation:
Given the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AE}{AC}[/tex] = [tex]\frac{DE}{BC}[/tex], substitute values
[tex]\frac{x}{4}[/tex] = [tex]\frac{12.5}{5}[/tex] ( cross- multiply )
5x = 50 ( divide both sides by 5 )
x = 10
and
[tex]\frac{AD}{AB}[/tex] = [tex]\frac{DE}{BC}[/tex] , that is
[tex]\frac{y}{3}[/tex] = [tex]\frac{12.5}{5}[/tex] ( cross- multiply )
5y = 37.5 ( divide both sides by 5 )
y = 7.5
