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Q is the midpoint of PR, PQ =2z, and PR=8z-12, Find z, PQ, and PR. Please explain?!??!?!?

Update:

But why did you divide it by 2

1 Answer

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  • 8 years ago
    Favorite Answer

    If Q is the midpoint of PR, then PQ must be half of PR.

    Use that info to help solve for z:

    2z = (8z - 12) / 2

    2z = 4z - 6

    -2z = -6

    z = 3..........now find the lengths

    PQ = 2(3) = 6 units

    PR = 8(3) - 12 = 24 - 12 = 12 units

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