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This scale drawing shows a enlargement in a figure.

What is the value of x?

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x =
Two parallelograms. The first parallelogram has a side labeled 12 and another side labeled 16. The second parallelogram has the corresponding sides labeled x and 24, respectively.

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mhanifa

Answer:

  • x = 18

Step-by-step explanation:

The figures are similar, therefore they have equal ratio of corresponding sides:

  • 12/x = 16/24
  • 12/x = 2/3
  • x = 12*3/2
  • x = 18
  • 12:16=x:24

So

[tex]\\ \tt\hookrightarrow \dfrac{12}{16}=\dfrac{x}{24}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{3}{4}=\dfrac{x}{24}[/tex]

[tex]\\ \tt\hookrightarrow 4x=72[/tex]

[tex]\\ \tt\hookrightarrow x=18[/tex]

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