Find the value of PR if Q is between P and R when PQ=25, PQ=2x+1, and QR=x. X ат X=8

Question

Find the value of PR if Q is between P and R
when PQ=25, PQ=2x+1, and QR=x.
X
ат
X=8

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Hưng Khoa 4 years 2021-08-09T16:45:20+00:00 1 Answers 15 views 0

Answers ( )

    0
    2021-08-09T16:47:05+00:00

    Answer:

    PR = 37

    Step-by-step explanation:

    Given

    PQ = 25

    PQ = 2x +1

    QR = x

    Required

    PQ

    Since Q is between the given points, then:

    PR = PQ + QR

    This gives:

    PR = 2x + 1 + x

    Collect like terms

    PR = 2x + x+ 1

    PR = 3x + 1

    Next, solve for x

    We have:

    PQ = 25

    PQ = 2x +1

    This gives:

    2x + 1 = 25

    Collect like terms

    2x = 25 -1

    2x = 24

    Divide by 2

    x = 12

    So:

    PR = 3x + 1

    PR = 3 * 12 + 1

    PR = 37

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