Question

calcule o valor do x ou y em cada caso!​

Answer 1

Explicação passo-a-passo:

Pelo Teorema de Tales:

$\sf \dfrac{x}{60}=\dfrac{25}{40}$

$\sf 40x=60\cdot25$

$\sf 40x=1500$

$\sf x=\dfrac{1500}{40}$

$\sf x=37,5$

b) $\sf \dfrac{2x-6}{12}=\dfrac{x+1}{8}$

$\sf 8\cdot(2x-6)=12\cdot(x+1)$

$\sf 16x-48=12x+12$

$\sf 16x-12x=12+48$

$\sf 4x=60$

$\sf x=\dfrac{60}{4}$

$\sf x=15$

c)

• $\sf \dfrac{x}{20}=\dfrac{35}{25}$

$\sf 25x=20\cdot35$

$\sf 25x=700$

$\sf x=\dfrac{700}{25}$

$\sf x=28$

• $\sf \dfrac{y}{40}=\dfrac{35}{25}$

$\sf 25y=40\cdot35$

$\sf 25y=1400$

$\sf y=\dfrac{1400}{25}$

$\sf y=56$