Use the figure to the right to find the value of PT. T is the midpoint of PQ. PT = 3x + 3 and TQ = 5x – 9

Question

Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 3x + 3 and TQ = 5x – 9

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King 4 years 2021-08-28T07:43:33+00:00 1 Answers 7 views 0

Answers ( )

  1. Thunguyet
    0
    2021-08-28T07:44:49+00:00
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    Answer:

    PQ = 42

    Step-by-step explanation:

    Given

    PT = 3x + 3

    TQ = 5x - 9

    Midpoint, T

    Required

    Determine PT

    First, the value of x has to be calculated;

    Since T is the midpoint, then:

    PT = TQ

    This implies

    3x + 3 = 5x - 9

    Solve for x

    3x - 5x = -3 - 9

    -2x = -12

    x = -12/-2

    x = 6

    Length PQ can then be calculated using:

    PQ = PT + TQ

    PQ = 3x +3 + 5x -9

    Collect Like Terms

    PQ = 3x+ 5x +3 -9

    PQ = 8x -6

    Substitute 6 for x

    PQ = 8 * 6 - 6

    PQ = 48 - 6

    PQ = 42

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