Question

Determine o valor das variáveis:​

Answer 1

a)

$\frac{y}{15} = \frac{4 \div 4}{12 \div 4} \\ \frac{y}{15} = \frac{1}{3} \\ 3y = 15$

$y = \frac{15}{3} \\ y = 5$

$\frac{x}{3} = \frac{12}{4} \\ \frac{x}{3} = 3 \\ x = 3.3 \\ x = 9$

b)

$\frac{x}{9} = \frac{4}{3} \\ 3x = 36 \\ x = \frac{36}{3} \\ x = 12$

$\frac{y}{8} = \frac{3}{4} \\ 4y = 24 \\ y = \frac{24}{4} \\ y = 6$

c)

$\frac{x}{7} = \frac{3 \div 3}{6 \div 3} \\ \frac{x}{7} = \frac{1}{2} \\ 2x = 7 \\ x = \frac{7}{2}$

$\frac{y}{8} = \frac{3 \div 3}{6 \div 3} \\ \frac{y}{8} = \frac{1}{2} \\ 2y = 8$

$y = \frac{8}{2} \\ y = 4$

d)

$\frac{x}{18} = \frac{30}{15} \\ \frac{x}{18} = 2 \\ x = 18.2 \\ x = 36$

$\frac{y}{24} = \frac{15}{30} \\ \frac{y}{24} = \frac{1}{2} \\ 2y = 24 \\ y = \frac{24}{2} = 12$

e)

$\frac{x}{4} = \frac{12}{6} \\ \frac{x}{4} = 2 \\ x = 2.4 \\ x = 8$

f)

$\frac{5}{6} = \frac{y}{10} \\ 6y = 50 \\ y = \frac{50 \div 2}{6 \div 2} \\ y = \frac{25}{3}$

g)

DE/AB=6/3=2

CD=2AC=2.4=8

h)

$\frac{x}{10} = \frac{18 \div 3}{15 \div 3} \\ \frac{x}{10} = \frac{6}{5} \\ 5x = 60$

$x = \frac{60}{5} \\ x = 10$