Question

Me ajudem por favor!! Preciso disso pra amanhã :(​

Answer 1

Explicação passo-a-passo:

• teorema de Tales

A)

$\tt \frac{2}{4} = \frac{3}{x} \\ \tt \: 2 \: . \: x = 4 \: . \: 3 \\ \tt \: 2x = 12 \\ \tt \: x = \frac{12}{2} \\ \red{ \boxed{ \tt \: x = 6}}$

B)

$\tt \frac{4}{12} = \frac{x}{21} \\ \tt \: 12 \: . \: x = 4 \: . \: 21 \\ \tt \: 12x = 84 \\ \tt \: x = \frac{84}{12} \\ \red { \boxed{ \tt \: x = 7}}$

C)

$\tt \: \frac{x}{14} = \frac{9}{12} \\ \tt \: x \: . \: 12 = 14\: .\: 9 \\ \tt \: 12x = 126 \\ \tt \: x = \frac{126}{12} \\ \red{ \boxed{ \tt \: x = 10</strong><strong>,</strong><strong>5}}$

D)

$\tt \: \frac{x}{12} = \frac{8}{9} \\ \tt \: x \: .\: 9 = 12 \: . \: 8 \\ \tt \: 9x = 96 \\ \tt \: x = \frac{96}{9} \\ \red{ \boxed{ \tt \: x=10</strong><strong>,</strong><strong>6}}$