Question

Nas figuras, a // b // c, calcule o valor de x. (Teorema de Tales)
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Answer 1

Resposta:

a)

\begin{gathered} \frac{2}{4} = \frac{3}{x} \\ 2x = 3 \times 4 \\ 2x = 12 \\ x = 12 \div 2 \\ x = 6\end{gathered}

4

2

=

x

3

2x=3×4

2x=12

x=12÷2

x=6

b)

\begin{gathered} \frac{4}{12} = \frac{x}{21} \\ 12x = 21 \times 4 \\ 12x = 84 \\ x = 84 \div 12 \\ x = 7 \end{gathered}

12

4

=

21

x

12x=21×4

12x=84

x=84÷12

x=7

c)

\begin{gathered} \frac{x}{14} = \frac{9}{12} \\ 12x = 14 \times 9 \\ 12x = 126 \\ x = 126 \div 12 \\ x = 10.5\end{gathered}

14

x

=

12

9

12x=14×9

12x=126

x=126÷12

x=10.5

d)

\begin{gathered} \frac{x}{9} = \frac{8}{12} \\ 12x = 9 \times 8 \\ 12x = 72 \\ x = 72 \div 12 \\ x = 6\end{gathered}

9

x

=

12

8

12x=9×8

12x=72

x=72÷12

x=6

Espero ter ajudado