C is the circumcenter of triangle PQR. PC = 3x + 7, RC = 5x – 15, & QC = 51 – x

Question

C is the circumcenter of triangle PQR. PC = 3x + 7, RC = 5x – 15, & QC = 51 – x

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Gabriella 2 weeks 2022-01-11T14:54:26+00:00 1 Answer 0 views 0

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    2022-01-11T14:56:07+00:00

    Answer:

    The value of PC is 40.

    Step-by-step explanation:

    Consider the complete question is ” C is the circumcenter of triangle PQR. PC=3X-7 RC=5X-15 & QC= 51-X What does PC equal?”

    All vertices or a triangle are equidistant from its circumcenter.

    PC=RC=QC

    RC=QC

    5x-15=51-x

    5x+x=51+15

    6x=66

    x=11

    The value of x is 11.

    We need to find the value of PC.

    PC=3x+7

    Substitute x=11 in the above equation.

    PC=3(11)+7

    PC=33+7

    PC=40

    Therefore, the value of PC is 40.

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45:7+7-4:2-5:5*4+35:2 =? ( )