hayyb
hayyb hayyb
  • 08-02-2019
  • Mathematics
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What is the value of x? Enter your answer, as a decimal, in the box.

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What is the value of x Enter your answer as a decimal in the box ft class=

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MrsStrong
MrsStrong MrsStrong
  • 12-02-2019

Answer:

67.5

Step-by-step explanation:

To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.

[tex]\frac{97.5}{x}=\frac{71.5}{49.5}[/tex]

To solve for x, cross multiply:

(97.5)(49.5) = (x)(71.5)

4826.25 = 71.5x

67.5 = x

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