Matemática, perguntado por fabiomelo86, 9 meses atrás

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Soluções para a tarefa

Respondido por paolanakassugui
0

Resposta:

ççç

Explicação passo-a-passo:

Respondido por Dianadi
1

Resposta:

1. a) x = 6   b) x = 9   c) x = 3   d) x = 6   e) x = 7

2. AB = 4 cm   BC = 12cm   CD = 8cm

Explicação passo-a-passo:

Olá, boa tarde!

a)

\frac{9}{12} =\frac{x}{8} \\\\12.x=9.8\\\\12x= 72\\\\x=\frac{72}{12} \\\\x=6

b)

\frac{12}{y} =\frac{2+6}{6} \\\\\frac{12}{y} =\frac{8}{6} \\\\8.y=12.6\\\\8x=72\\\\x=\frac{72}{8} \\\\x=9

c)

\frac{8}{10} =\frac{x+1}{x+2} \\\\10.(x+1)=8.(x+2)\\\\10x + 10 =8x+16\\10x-8x=16-10\\\\\\2x=6\\x=\frac{6}{2} \\\\ x=3

d)

\frac{x}{4} =\frac{9}{x} \\\\x.x=4.9\\\\x^{2}=36\\\\x=\sqrt{36} \\x=6

e)

\frac{6}{x+2} =\frac{4}{x-1} \\\\6.(x-1)=4.(x+2)\\\\6x-6=4x+8\\\\6x-4x=8+6\\2x=14\\\\x=\frac{14}{2} \\\\x=7

2)

\frac{AB}{24} =\frac{3}{3+9+6} \\\\\frac{AB}{24} =\frac{3}{18} \\\\AB.18=72\\AB=\frac{72}{18} \\\\AB=4

\frac{AB}{BC} =\frac{3}{9} \\\\\frac{4}{BC} =\frac{3}{9} \\\\BC.3=4.9\\\\BC.3=36\\\\BC=\frac{36}{3} \\\\BC=12

\frac{AB}{CD} =\frac{3}{6} \\\\\frac{4}{CD} =\frac{3}{6} \\\\CD.3=4.6\\\\CD.3=24\\\\CD=\frac{24}{3} \\\\CD=8

Espero ter ajudado!

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