Question

na figura r//s//t determine o valor de X e y​

Answer 1

Utilizando o teorema de Tales, podemos montar a relação:

$\frac{x}{y}~=~\frac{4}{10}\\\\Note~que~\acute{e}~possivel~escrever~y~em~funcao~de~x\\\\\frac{x}{21-x}~=~\frac{4}{10}\\\\Multiplicando~Cruzado\\\\10~.~x~=~4~.~(21-x)\\\\10x~=~-4x+84\\\\10+4x~=~84\\\\14x~=~84\\\\x~=~\frac{84}{14}\\\\\boxed{x~=~6}\\\\\\Com~o~valor~de~x~podemos~achar~y\\\\x+y~=~21\\\\y~=~21-6\\\\\boxed{y~=~15}$