JaideI330832 JaideI330832
  • 25-10-2022
  • Mathematics
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indirect measurement : explain why the triangles are similar then find the distance represented by x.

indirect measurement explain why the triangles are similar then find the distance represented by x class=

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LanderV461391 LanderV461391
  • 25-10-2022

Given data:

The given triangles.

The expression for the ratio of the corresponding sides is,

[tex]\begin{gathered} \frac{90\text{ yards}}{110\text{ yards}}=\frac{(90+90)\text{ yards}}{x} \\ \frac{9}{11}=\frac{180\text{ yards}}{x} \\ 9x=11\times(180\text{ yards)} \\ x=220\text{ yards} \end{gathered}[/tex]

Thus, the value of x is 220 yards.

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