AvelineO475588 AvelineO475588

03-11-2022
Mathematics

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Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side HI. Round your answer to the nearest tenth if necessary

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AdielY569280 AdielY569280

03-11-2022

we have:

[tex]\frac{HI}{DE}=\frac{IF}{EB}[/tex]

so

[tex]\begin{gathered} \frac{HI}{23}=\frac{59}{14} \\ 14HI=59\cdot23 \\ 14\cdot HI=1357 \\ HI=\frac{1357}{14} \\ HI=96.9 \end{gathered}[/tex]

answer: HI = 96.9

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