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T is between P and Q. PT=7x-24, TQ=102, and PQ=13x. Find x.

T is between P and Q. PT=7x-24, TQ=102, and PQ=13x. Find x.
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T is between P and Q. PT=7x-24, TQ=102, and PQ=13x. Find x.

User Andrew Campbell
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\begin{gathered} PQ=PT+TQ \\ 13x=7x-24+102 \\ 13x=7x+78 \\ 13x-7x=78 \\ 6x=78 \\ x=(78)/(6) \\ x=13 \end{gathered}

User Jesususo
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