Question

Observe o feixe de retas paralelas a seguir quais são os valores de x e y

Answer 1

Teorema de Tales:

m/m = (x + 3)/(3x - 5)

(x + 3)/(3x - 5) = 1

3x - 5 = x + 3

3x - x = 5 + 3

2x = 8

x = 8/2

x = 4

m/m = (3x - 5)/(y + 1)

1 = (3 . 4 - 5)/(y + 1)

1 = 7/(y + 1)

y + 1 = 7

y = 7 - 1

y = 6

Answer 2

Resposta:

$\mathsf{\green{x = 4} }$ ∧ $\mathsf{\red{y = 6} }$

Resolução passo-a-passo:

$\mathsf{\dfrac{x + 3}{3x - 5} = \dfrac{m}{m} }$

$\mathsf{\dfrac{x + 3}{3x - 5} = 1 }$

$\mathsf{{x + 3} = 1 ({3x - 5})}$

$\mathsf{{x + 3} = {3x - 5}}$

$\mathsf{3x - x = 3 + 5}$

$\mathsf{2x = 8}$

$\mathsf{\green{x = 4} }$



$\mathsf{\dfrac{3x - 5}{y + 1} = \dfrac{m}{m} }$

$\mathsf{\dfrac{3 \cdot 4 - 5}{y + 1} = 1 }$

$\mathsf{2 - 5= 1 (y + 1)}$

$\mathsf{ 7 = {y + 1}}$

$\mathsf{y = 7 - 1}$

$\mathsf{\red{y = 6} }$


Boa interpretação :)