Question

5- Usando o Teorema de Tales, calcule as incógnitas, explicando passo a passo do desenvolvimento: ​

Answer 1

Resposta:

a)

$\dfrac{2x + 1}{5x - 1} = \dfrac{4}{6} \\ \\( 5x - 1) \times 4 = 6(2x + 1) \\ \\ 20x - 4 = 12x + 6 \\ \\ 20x - 12x = 6 + 4 \\ \\ 8x = 10 \\ \\ x = \dfrac{10 \div 2}{8 \div 2} \\ \\ \Large \boxed{ \green{x = \dfrac{5}{4} }} \\ \\ \Large \boxed{ \underline{ \blue{ \bf \: Bons \: Estudos!}11/05/2021}}$

Answer 2

a)

$\frac{2x + 1}{5x - 1} = \frac{4}{6} \\ (5x - 1) \times 4 = 6(2x + 1) \\ 20x - 4 = 12x + 6 \\ 20x - 12 x = 6 + 4 \\ 8x = 10 \\ x = \frac{10}{8} \: \: simplificar \: por \: 2 \\ \large x = \frac{5}{4}$