Question

Calcule as proporções

A$\frac{2}{3} = \frac{15 - x}{4}$
B
$\frac{x - 2}{12} = \frac{x}{20}$
C
$\frac{3}{2} = \frac{x + 3}{x - 1}$
D
$\frac{4x}{9} = \frac{2x - 1}{3}$
E
$\frac{x }{5} = \frac{x + 2}{3}$

Answer 1

Resposta:

a)x = $\frac{37}{3}$

b)x = 5

c)c = 9

d)x = $\frac{3}{2}$

e)x = -5

Explicação passo-a-passo:

$a) \frac{2}{3}=\frac{15-x}{4} \\\\ \frac{8}{3}=15-x \\\\ x=15-\frac{8}{3} \\\\ x=\frac{45-8}{3} \\\\ x=\frac{37}{3}$

$b) \frac{x-2}{12}=\frac{x}{20} \\\\ 20x-12x=40 \\\\ 8x=40 \\\\ x=5$

$c) \frac{3}{2}=\frac{x+3}{x-1} \\\\ 3x-3=2x+6 \\\\ x=9$

$d) \frac{4x}{9}=\frac{2x-1}{3} \\\\ 12x=18x-9 \\\\ 6x=9 \\\\ x=\frac{3}{2}$

$e) \frac{x}{5}=\frac{x+2}{3} \\\\ 3x=5x+10 \\\\ 2x=-10 \\\\ x=-5$