Question

determine x e y nas figuras a seguir

Answer 1

$\Large\boxed{\begin{array}{l}\tt a)~\sf\dfrac{5}{10}=\dfrac{x}{x+y}\\\\\sf\dfrac{1}{2}=\dfrac{x}{12}\\\sf 2x=12\\\sf x=\dfrac{12}{2}\\\\\sf x=6\\\sf x+y=12\\\sf 6+y=12\\\sf y=12-6\\\sf y=6\end{array}}$

$\Large\boxed{\begin{array}{l}\tt b)~\sf\dfrac{3}{4}=\dfrac{x}{x+y}\\\\\sf\dfrac{3}{4}=\dfrac{x}{14}\\\\\sf4x=42\\\\\sf x=\dfrac{42\div2}{4\div2}\\\\\sf x=\dfrac{21}{2}\\\\\sf x+y=14\\\\\sf\dfrac{21}{2}+2y=14\cdot2\\\\\sf 21+4y=28\\\sf 4y=28-21\\\sf 4y=7\\\\\sf y=\dfrac{7}{4}\end{array}}$