Question

ME AJUDEMMMM



na figura a seguir, A, B e C sao retas paralelas, e R e T, transversais x+y=21 cm calcule x e y​

Answer 1

$\dfrac{8}{y}=\dfrac{10}{x}\\8x=10y\div{2}\\4x=5y\\4x-5y=0$

$\begin{cases}x+y=10\\4x-5y=0\end{cases}$

$+\begin{cases}5x+5y=50\\4x-5y=0\end{cases}$

$9x=50\\\bf{x=\dfrac{50}{9}}$

$4y=\dfrac{4}{5}x\\y=\dfrac{4}{\cancel{5}}.\dfrac{\cancel{50}}{9}$

$\bf{y=\dfrac{40}{9}}$