Question

Resolva aplicando o teorema de Tales. Qual o valor de x?

Answer 1

Explicação passo-a-passo:

Pelo Teorema de Tales:

$\sf \dfrac{4x+1}{x+2}=\dfrac{16}{18}$

$\sf 18\cdot(4x+1)=16\cdot(x+2)$

$\sf 72x+18=16x+32$

$\sf 72x-16x=32-18$

$\sf 56x=14$

$\sf x=\dfrac{14}{56}$

$\sf x=\dfrac{1}{4}$

$\sf \red{x=0,25}$