Question

Veja as figuras dos segmentos e calcule o valor de x nas proporções *

Answer 1

Resposta:

$1) \: \frac{3}{6} = \frac{4}{x} \\ \\ 3x = 24 \\ \\ x = \frac{24}{3} \\ \\ x = 8$

$2) \: \frac{x}{14} = \frac{9}{12} \\ \\ 12x = 126 \\ \\ x = \frac{126}{12} \div (6) \\ \\ x = \frac{21}{2}$

$3) \: \frac{4}{x + 1} = \frac{6}{2x - 6} \\ \\ 4 \times (2x - 6) = 6 \times (x + 1) \\ 8x - 24 = 6x + 6 \\ 8x - 24 - 6x - 6 = 0 \\ 2x - 30 = 0 \\ 2x = 30 \\ \\ x = \frac{30}{2} \\ \\ x = 15$

$4) \: \frac{8}{2x - 6} = \frac{12}{x + 1} \\ \\ 8 \times (x + 1) = 12 \times (2x - 6) \\ 8x + 8 = 24x - 72 \\ 8x + 8 - 24x + 72 = 0 \\ - 1 6x + 80 = 0 \\ - 16x = - 80 \times ( - 1) \\ 16x = 80 \\ \\ x = \frac{80}{16} \\ \\ x = 5$