Question

8÷(2x + 4) = 5÷(5x-2) usando o teorema de tales alguém pode me ajudar ​

Answer 1

Resposta:

x = 6/5

Explicação passo-a-passo:

8÷(2x + 4) = 5÷(5x-2)

8/(2x+4) = 5/(5x-2)

8.(5x-2) = 5.(2x+4)

40x - 16 = 10x + 20

40x - 10x = 20+16

(:6) 30x = 36 (:6)

5x = 6

x = 6/5

Answer 2

$\boxed{\frac{8}{2x+4}=\frac{5}{5x-2}}$

$8(5x-2)=5(2x+4) \\ 40x-16=10x+20$

$40x-10x=20+16 \\ 30x=36$

$\boxed{x=\frac{36\div6}{30\div6}}$

$\boxed{x=\frac{6}{5}}$