Matemática, perguntado por Iziejeh, 11 meses atrás

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Teorema de Tales

Anexos:

Soluções para a tarefa

Respondido por LucasFernandesb1
1

Olá,

1)

 \frac{x}{14}  =  \frac{9}{12}  \\  \\ 12x = 126 \\ x = 126 \div 12 \\ x = 10.5

2)

 \frac{8}{x + 1}  =  \frac{12}{2x - 6}  \\  \\ 16x - 48 = 12x + 12 \\ 16x - 12x = 12 + 48 \\ 4x = 60 \\ x = 60 \div 4 \\ x = 15

 \frac{x - 5}{x + 1}  =  \frac{6}{24}  \\  \\ 24x - 120 = 6x + 6 \\ 24x - 6x = 6 + 120 \\ 18x = 126 \\ x = 126 \div 18 \\ x = 7

3)⏫⏫⏫

4)

 \frac{x}{9}  =  \frac{8}{12}  \\  \\ 12x = 72 \\ x = 72 \div 12 = 6

5)

 \frac{x}{2}  =  \frac{6}{3}  \\  \\ 3x = 12 \\ x = 12 \div 3 = 4 \\  \\  \frac{2}{4}  =  \frac{3}{y}  \\  \\ 2y = 12 \\ y = 12 \div 2 = 6

6)

 \frac{3}{6} =   \frac{x}{4}  \\  \\ 6x = 12 \\ x = 12 \div 2 = 6

 \frac{10}{y}  =  \frac{3}{6}  \\  \\ 3y = 60 \\ y = 60 \div 3 = 20

7)

 \frac{6}{x + 2}  =  \frac{5}{x}  \\  \\ 6x = 5x + 10 \\ 6x - 5x = 10 \\ x = 10

8)

 \frac{8}{24}  =  \frac{6}{x + 4}  \\  \\ 8x + 32 = 144 \\ 8x = 144 - 32 \\ 8x = 112 \\ x = 112 \div 8 = 14

9)

 \frac{9}{x}  =  \frac{12}{x + 2}  \\  \\ 9x + 18 = 12x \\  9x - 12x =  - 18 \\  - 3x =  - 18 \\ x =  - 18 \div  - 3 \\ x = 6

10)

 \frac{x}{10}  =  \frac{x + 3}{15}  \\  \\ 10x + 30 = 15x \\ 10x - 15x =  - 30 \\  - 5x =  - 30 \\ x =  - 30 \div  - 5 \\ x = 6

11)

 \frac{18}{x}  =  \frac{15}{5}  \\  \\ 15x = 90 \\ x = 90 \div 15  = 6

 \frac{6}{y}  =  \frac{5}{10}  \\  \\ 5y = 60 \\ y = 60 \div 5 \\ y = 12

12)

 \frac{12}{21}  =  \frac{2x - 2}{3x + 3}  \\  \\ 36x + 36 = 42x - 42 \\ 36x - 42x =  - 42 - 36 \\  - 6x =  - 78 \\ x =  - 78 \div  - 6 \\ x = 13

13) Falta um valor.

14)

 \frac{10}{15}  =  \frac{3x + 1}{5x - 2}  \\  \\ 50x - 20 = 45x  + 15 \\ 50x - 45x = 15 + 20 \\ 5x = 35 \\ x = 35 \div 5 = 7

15)

 \frac{9}{12}  =  \frac{x}{x + 2}  \\  \\ 9x + 18  = 12x \\ 9x - 12x =  - 18 \\  - 3x =  - 18 \\ x =  - 18 \div  - 3 \\ x = 6

16)

 \frac{2x - 4}{21} =   \frac{3x}{35}  \\  \\ 63x = 70x - 140 \\ 63x - 70x =  - 140 \\  - 7x =  - 140 \\ x =  - 140 \div  - 7 \\ x = 20

17)

 \frac{x}{28 }  =  \frac{5}{14}  \\  \\ 14x = 140 \\ x = 140 \div 14 = 10

18)

 \frac{1}{2x}  =  \frac{x}{4}  \\   \\ 2 {x}^{2}  = 4 \\  {x}^{2}  = 4 \div 2 \\  {x}^{2}  = 2 \\ x =  \sqrt{2}

Espero ter ajudado :-)

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