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Points P, Q and R are collinear. Point Q isbetween points P and R. If point Q is the midpointof PR with PQ = 9x – 2 and RQ = 4x + 13. Findthe length of PR.

Respuesta :

We have the following:

[tex]\begin{gathered} PR=PQ+RQ \\ PQ=RQ \\ PQ=9x-2 \\ RQ=4x+13 \end{gathered}[/tex]

replacing:

[tex]\begin{gathered} 9x-2=4x+13 \\ 9x-2=4x+13 \\ 9x-4x=13+2 \\ 5x=15 \\ x=\frac{15}{5}=3 \end{gathered}[/tex]

now,

[tex]\begin{gathered} PR=9\cdot3-2+4\cdot3+13 \\ PR=27-2+12+13 \\ PR=50 \end{gathered}[/tex]

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