Question

sendo r//s//t,calcule x e y.​

Answer 1

Resposta:

x = 18,75

y = 4

Explicação passo a passo:

Veja na imagem abaixo: Os triângulos ABE e ACD são semelhantes, logo:

$\frac{15}{6+y} =\frac{6}{y}\\\\15y=6y+36\\\\15y-6y=36\\\\9y=36\\\\y =\frac{36}{9}\\\\y=4\\\\\\\frac{x}{6+9} =\frac{6+y}{8} \\\\\frac{x}{15} =\frac{6+4}{8}\\\\\frac{x}{15}=\frac{10}{8} \\\\8x=150\\\\x=\frac{150}{8}\\\\x=\frac{75}{4}\\\\x= 18,75$