Answer:
x = 20, y = 6
Step-by-step explanation:
Δ ACB and Δ DCE are similar, so the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{AC}{DC}[/tex] , substitute values
[tex]\frac{x}{12}[/tex] = [tex]\frac{25}{15}[/tex] ( cross- multiply )
15x = 300 ( divide both sides by 15 )
x = 20
and
[tex]\frac{CE}{CB}[/tex] = [tex]\frac{DC}{AC}[/tex] , substitute values
[tex]\frac{y}{10}[/tex] = [tex]\frac{15}{25}[/tex] ( cross- multiply )
25y = 150 ( divide both sides by 25 )
y = 6
