Point O is on line segment NP‾\overline{NP}NP. Given OP=10,OP=10,OP=10, NP=2x,NP=2x,NP=2x, and NO=x+7,NO=x+7,NO=x+7, determine the numerical

Question

Point O is on line segment NP‾\overline{NP}NP. Given OP=10,OP=10,OP=10, NP=2x,NP=2x,NP=2x, and NO=x+7,NO=x+7,NO=x+7, determine the numerical length of NO‾.\overline{NO}.NO.

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Mít Mít 3 years 2021-07-18T22:53:59+00:00 1 Answers 5 views 0

Answers ( )

  1. quangkhai
    0
    2021-07-18T22:55:21+00:00
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    Given:

    Point O is on line segment NP.

    OP=10, NP=2x, and NO=x+7.

    To find:

    The numerical length of NO.

    Solution:

    If point O is on line segment NP, then by segment addition property, we get

    NP=NO+OP

    2x=(x+7)+10

    2x=x+17

    Subtract both sides by x.

    2x-x=17

    x=17

    The value of x is 17.

    Now,

    NO=x+7

    NO=17+7

    NO=24

    Therefore, the numerical length of NO is 24units.

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