Question

me ajudem na número 7 pfv

Answer 1

Resposta: tachauuuuuuuuuu

Answer 2

Utilizar semelhança de triângulos para determinar y.

$\frac{0,75}{y} =\frac{1,5}{1,5+4,5} \\\\\frac{0,75}{y} =\frac{1,5}{6} \\\\1,5\cdot y=0,75\cdot6\\\\y=\frac{4,5}{1,5} \\\\y=3$

Utilizar semelhança de triângulos para determinar z.

$\frac{1,5}{0,75+z} =\frac{1,5+4,5}{y+4}\\\\ \frac{1,5}{0,75+z} =\frac{6}{3+4}\\\\ \frac{1,5}{0,75+z} =\frac{6}{7}\\\\6\cdot(0,75+z)=1,5\cdot7\\\\4,5+6z=10,5\\\\6z=10,5-4,5\\\\6z=6\\\\z=\frac{6}{6} \\\\z=1$

Utilizar teorema da bissetriz interna para determinar x.

$\frac{y}{1,5+4,5} =\frac{4}{2+x} \\\\\frac{3}{6} =\frac{4}{2+x}\\\\3\cdot(2+x)=6\cdot4 \\\\6+3x=24\\\\3x=24-6\\\\3x=18\\\\x=\frac{18}{3}\\\\x=6$