Question

Geometria pra galera que pode me ajudar!!!

Answer 1

Resposta:

Explicação passo-a-passo:

$Formula\ de\ Potencia\ de\ Pontos: \overline{AF}*\overline{FB}=\overline{EF}*\overline{FD}\\Substituindo\ os\ valores,\ temos:\\\\a)\\\\\overline{AF} = x-1\\\overline{FB}=9\\\overline{EF}=x\\\overline{FD}=8\\\\(x-1)*9 = x*8 \Leftrightarrow 9x-9=8x \Leftrightarrow x=9 \\\\b)\\\\\overline{AF} = 9\\\overline{FB}=5\\\overline{EF}=14-3x\\\overline{FD}=6\\\\9*5 = (14-3x)*6 \Leftrightarrow 45 = 84 - 18x \Leftrightarrow x =\frac{84-45}{18} \approx 2.16$