If LM = 4x, MN = 5, and LN = 9x, what is LN? 4x L 5 M N 9x

Question

If LM = 4x, MN = 5, and LN = 9x, what is LN?

4x

L

5

M

N

9x

Simplify your answer and write it as a proper fraction, mixed number, or integer.

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Thiên Ân 5 years 2021-08-11T17:18:23+00:00 1 Answers 31 views 0

Answers ( )

  1. ngochoa
    0
    2021-08-11T17:19:35+00:00
    Reply

    Step-by-step explanation:

    It is given that,

    LM = 4x, MN = 5 and LN = 9x

    Note :Consider that L is mid point of M and N

    MN = LM + LN

    Putting all values, we get :

    5 = 4x + 9x

    5 = 13 x

    x = 5/13

    Put the value of x in, LN = 9x

    LN=9\times \dfrac{5}{13}\\\\LN=3.461

    or

    LN=\dfrac{45}{13}\\\\\text{or}\\\\LN=3\dfrac{6}{13}

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