AMNP ~ AQRP N x + 8 28 M 24 P 3x - 9 R Create a proportion and find the length of side PR*

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SonyaH691477 SonyaH691477

25-10-2022
Mathematics

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AMNP ~ AQRP N x + 8 28 M 24 P 3x - 9 R Create a proportion and find the length of side PR*

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HayleeM298570 HayleeM298570 · Answer 1 · 2022-10-25T13:21:01+02:00

HayleeM298570 HayleeM298570

25-10-2022

Using thales theorem:

[tex]\begin{gathered} \frac{24}{28}=\frac{x+8}{3x-9} \\ 24(3x-9)=28(x+8) \\ 72x-216=28x+224 \\ 44x=440 \\ x=\frac{440}{44} \\ x=10 \\ PR=3(10)-9=21 \end{gathered}[/tex]

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