Question

determine o valor de x e de y nos pares se triângulos semelhates​

Answer 1

Explicação passo-a-passo:

a)

• $\sf \dfrac{x}{9}=\dfrac{4}{3}$

$\sf 3x=9\cdot4$

$\sf 3x=36$

$\sf x=\dfrac{36}{3}$

$\sf x=12$

• $\sf \dfrac{y}{3}=\dfrac{15}{9}$

$\sf 9y=3\cdot15$

$\sf 9y=45$

$\sf y=\dfrac{45}{9}$

$\sf y=5$

b)

• $\sf \dfrac{x}{4}=\dfrac{12}{8}$

$\sf 8x=4\cdot12$

$\sf 8x=48$

$\sf x=\dfrac{48}{8}$

$\sf x=6$

• $\sf \dfrac{y}{4}=\dfrac{6}{8}$

$\sf 8y=4\cdot6$

$\sf 8y=24$

$\sf y=\dfrac{24}{8}$

$\sf y=3$