Question

Utilizando o significado do teorema de Tales, determine o valor de X e Y.

Answer 1

$\frac{6}{4} = \frac{y + 4}{y} \\ 6.y = 4.y + 4 \\ 6y = 4y + 4 \\ 6y - 4y = 4 \\ 2y = 4 \\ y = \frac{4}{2} \\ y = 2$

[tex] \frac{6}{4} = \frac{ x + 6 }{6} \\ 4.x + 6 = 6.6 \\ 4x + 6 = 36 \\ 4x = 36 - 6 \\ 4x = 30 \\x = \frac{30}{4} \\ x = 7,5

y=2 e x= 7,5