Question

determine x e y sendo r s t e u retas paralelas​

Answer 1

Utilizando o teorema de Tales, podemos achar relações envolvendo "x" e "y", acompanhe:

$\frac{6}{4}~=~\frac{x}{2}\\\\\\Multiplicando~Cruzado\\\\\\4~.~x~=~6~.~2\\\\\\4x~=~12\\\\\\x~=~\frac{12}{4}\\\\\\\boxed{x~=~3}\\\\\\\\\\\frac{2}{x}~=~\frac{y}{5}\\\\\\\frac{2}{3}~=~\frac{y}{5}\\\\\\Multiplicando~Cruzado\\\\\\3~.~y~=~2~.~5\\\\\\3y~=~10\\\\\\\boxed{y~=~\frac{10}{3}}$