Question

1°Aplicando o teorema de tales, determine o valor de x nos feixes retas paralelas.

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Answer 1

Resposta:

1. a) 15

b) -3

c) 7

d) 7,84

2. d) y=12 e x=10

Explicação passo a passo:

$A- \frac{10}{x} = \frac{8}{12} \\8 x=10*12\\x=\frac{120}{8} = 15\\\\B- \\\ 12-x=\frac{5}{3}\\12-x=15\\-x=15-12\\x= -3 \\\\C- \frac{10}{15} = \frac{3x+1}{5x-2} \\10(5x-2)=15(3x+1)\\50x-20=45x+15\\50x-45x=15+20\\5x=35\\x=\frac{35}{5} = 7\\\\D- \frac{x+1}{x-5} =\frac{24}{5} \\5(x+1)=24(x-6)\\5x+5=24x-144\\24x-5x=144+5\\19x=149\\x=7,84\\\\2- \frac{8}{4} =\frac{x}{5\\} \\4x=40\\x=10.\\\\\frac{4}{y} =\frac{5}{15} \\5y=60\\y=12.\\\\d) \\ y=12 \\e\\ \\ x=10.$