Question

Determine o valor de X, sabendo que : a) a//b//c
b) a//b//c​

Answer 1

Explicação passo-a-passo:

a) Pelo Teorema de Tales:

$\sf \dfrac{2x-6}{12}=\dfrac{x+1}{8}$

$\sf 8\cdot(2x-6)=12\cdot(x+1)$

$\sf 16x-48=12x+12$

$\sf 16x-12x=12+48$

$\sf 4x=60$

$\sf x=\dfrac{60}{4}$

$\sf x=15$

b) Pelo Teorema de Tales:

$\sf \dfrac{5x-2}{3x+1}=\dfrac{15}{10}$

$\sf 10\cdot(5x-2)=15\cdot(3x+1)$

$\sf 50x-20=45x+15$

$\sf 50x-45x=15+20$

$\sf 5x=35$

$\sf x=\dfrac{35}{5}$

$\sf x=7$