If PQ = 6x - q and PR = 15x - 29, then QR =?

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Shaun Austin asked Oct 2, 2023

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If PQ = 6x - q and PR = 15x - 29, then QR =?

Mathematics
college

Shaun Austin asked Oct 2, 2023

by Shaun Austin

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$\begin{gathered} PQ=6x-1 \\ PR=15x-29 \\ QR=? \\ QR=PR-PQ \\ QR=15x-29-(6x-1) \\ QR=15x-29-6x+1 \\ QR=9x-28 \\ 2PQ=PR \\ 2(6x-1)=15x-29 \\ 12x-2=15x-29 \\ 12x-15x=-29+2 \\ -3x=-27 \\ x=(27)/(3) \\ x=9 \\ QR=9(9)-28 \\ QR=81-28 \\ QR=53 \\ \text{The value of QR is 53} \end{gathered}$

Dvs answered Oct 7, 2023

by Dvs

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