Question

Observe a figura r // s // t. Calcule o valor de x de acordo com o Teorema de Tales

Answer 1

$\frac{4x + 2}{6x} = \frac{4x + 4}{2x + 12} \\ {8x}^{2} + 48x + 4x + 24 = {24x}^{2} + 24x \\ {8x}^{2} - {24x}^{2} + 48x - 24x + 4x = 24 - 24 \\ { - 12x}^{2} + 24x = 0 \\ 12x( - x + 2) = 0 \\ 12x = 0 \\ x = \frac{0}{12} \\ x = 0 \\ \\ - x + 2 = 0 \\ - x = - 2 \\ x = 2$