Question

Nas figuras, a // b // c, calcule o valor de x

Answer 1

Explicação passo-a-passo:

Pelo Teorema de Tales:

a)

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

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

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

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

$\sf 5x=35$

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

$\sf \blue{\boxed{\sf \red{x=7}}}$

b)

$\sf \dfrac{3}{x}=\dfrac{2}{4}$

$\sf 2x=3\cdot4$

$\sf 2x=12$

$\sf x=\dfrac{12}{2}$

$\sf \blue{\boxed{\sf \red{x=6}}}$