Question

determine o valor de X na figura abaixo???​

Answer 1

Explicação passo-a-passo:

1) Usando o Teorema de Tales:

$\dfrac{4}{x} =\dfrac{2}{3} \\\\2.x=4.3\\\\2x=12\\\\x=\dfrac{12}{2} \\\\\boxed{x=6}$

2) Usando o Teorema de Tales:

$\dfrac{15}{5} =\dfrac{20}{k} \\\\3 =\dfrac{20}{k} \\\\3k=20\\\\\boxed{k=\dfrac{20}{3}}$

Usando o Teorema de Tales:

$\dfrac{3k+1}{5k-1} =\dfrac{4}{6} \\\\\dfrac{3k+1}{5k-1} =\dfrac{2}{3} \\\\2.(5k-1)=3.(3k+1)\\\\10k-2=9k+3\\\\10k-9k=3+2\\\\\boxed{k=5}$