Question

calcule o valor de x y e z na figura abaixo sabendo que r//s//t//u

Answer 1

Achando x:

10/5 = x/4
5x = 10×4
x = 40/5
x = 8

Achando y:

8/4 = 6/y
8y = 4×6
8y = 24
y = 24/8
y = 3

Achando z:

z/3 = 12/5
5z = 3×12
z = 36/5
z = 7,2

Answer 2

Explicação passo-a-passo:

Pelo Teorema de Tales:

=> Valor de x

$\sf \dfrac{x}{4}=\dfrac{10}{5}$

$\sf 5x=4\cdot10$

$\sf 5x=40$

$\sf x=\dfrac{40}{5}$

$\sf \red{x=8}$

=> Valor de y

$\sf \dfrac{y}{6}=\dfrac{5}{10}$

$\sf 10y=6\cdot5$

$\sf 10y=30$

$\sf y=\dfrac{30}{10}$

$\sf \red{y=3}$

=> Valor de t

$\sf \dfrac{t}{6}=\dfrac{12}{10}$

$\sf 10t=6\cdot12$

$\sf 10t=72$

$\sf t=\dfrac{72}{10}$

$\sf \red{t=7,2}$