Question

Na figura a // b // c // d determine os valores de x, y e z.
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Answer 1

Resposta:

x = 24/11

y = 48/11

z = 60/11

Explicação passo-a-passo:

x+y+z = 12

x/4 = y/8 = z/10

x/4= y/8

x = 4y/8 (:4)/(:4)

x= y/2

2x = y

y = 2x

y/8 = z/10

y = 8z/10 (:2)/(:2)

y = 4z/5

2x = 4z/5

x = 2z/5

2z/5= x

2z = 5x

z = 5x/2

x + y + z = 12

x + 2x + 5x/2 = 12

3x + 5x/2 = 12

(2.3x + 5x)/2 = 2.12/2

6x + 5x = 24

11x = 24

x = 24/11

y = 2x

y = 2.24/11

y = 48/11

Z = 5x/2

Z = 5.24/11 : 2

z = 120/11 . 1/2

z = 120/2 . 1/11

z = 60/11

Prova real:

x + y + z = 12

(24+48+60)/11

= (72+60)/11 = 132/11 = 12 (correto)

R.:

x = 24/11

y = 48/11

z = 60/11