Question

A soma do valor de x e y é igual a:
A- 29
B- 30
C- 31
D- 32

Answer 1

$\boxed{\begin{array}{l}\sf\triangle ABC\sim\triangle DBE\\\sf\dfrac{x+10}{x}=\dfrac{15\div5}{10\div5}\\\sf\dfrac{x+10}{x}=\dfrac{3}{2}\\\sf 3x=2x+20\\\sf 3x-2x=20\\\sf x=20\\\sf\dfrac{y+18}{18}=\dfrac{15\div5}{10\div5}\\\sf\dfrac{y+18}{18}=\dfrac{3}{2}\\\sf 2y+36=54\\\sf 2y=54-36\\\sf2y=18\\\sf y=\dfrac{18}{2}\\\sf y=9\\\sf x+y=20+9=29\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~A}}}}\end{array}}$