Question

Qual o valor de x e y respectivamente?

A) 4 e 2

B) 4 e 5

C) 5 e 2

D) 3 e 4

Answer 1

Semelhança de triângulo

$\frac{AB}{ED} = \frac{BC}{DC} = \frac{AC}{EC} \\ \\ \frac{8}{x} = \frac{10}{y} = \frac{14}{7} \\ \\ \frac{14}{7} =2 \\ \\ \frac{8}{x} =2~~~~~~~~~~~~~~~~~~ \frac{10}{y} =2 \\ \\ 2x=8 ~~~~~~~~~~~~~~~~~2y=10 \\ x=8\div2~~~~~~~~~~~~~y=10\div2 \\\fbox{ x=4 }~~~~~~~~~~~~~~~~~~~\fbox{ y=5 } \\ \\ Letra~~B$