Question

DIVIDA O NÚMERO 360 EM PARTES PROPORCIONAIS A :
a- 1 e 2
b- 3 e 5
c- 2 , 3 e 5 .
ME AJUDEMMM PFVRR

Answer 1

Olá, siga a explicação:

A)

$a+b= 360 \\ \\ \dfrac{a}{1} = \dfrac{b}{2} = \dfrac{a+b}{1+2} = \dfrac{360}{3} = 120 \\ \\\dfrac{a}{1} = 12 0 \\ \\\dfrac{b}{2} = 240$

B)

$a+b= 360 \\ \\ \dfrac{a}{3} = \dfrac{b}{5} = \dfrac{a+b}{3+5} = \dfrac{360}{8} = 45 \\ \\\dfrac{a}{3} = 135 \\ \\\dfrac{b}{5} = 225$

C)

$a+b+c= 360 \\ \\ \dfrac{a}{2} = \dfrac{b}{3} =\dfrac{c}{5} =\dfrac{a+b+c}{2+3+5} = \dfrac{360}{10} = 36 \\ \\\dfrac{a}{2} = 72 \\ \\\dfrac{b}{5} = 180 \\ \\ \dfrac{c}{3} = 108$

• Att. MatiasHP