Question

Nas figuras, calcule x,sendo a// b//c:​

Answer 1

Resposta:

a) $x=\frac{17}{6}$

b) $x=2$

Explicação passo-a-passo:

Pelo Teorema de Tales:

a)

$\frac{2x+3}{4} =\frac{5x-1}{7} \\\\7(2x+3) =4(5x-1)\\14x+21=20x-4\\21-4=20x-14x\\17=6x\\x=\frac{17}{6}$

b)

$\frac{2}{3} =\frac{3x}{4x+1} \\\\2(4x+1)=3.3x\\8x+2=9x\\2=9x-8x\\2=x\\x=2$