The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM:MN:NOLM:MN:NO is equal to 3:1:2.3:1:2. I

Question

The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM:MN:NOLM:MN:NO is equal to 3:1:2.3:1:2. If LO=30,LO=30, find LN.LN.

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Gerda 6 months 2021-07-18T23:13:10+00:00 1 Answers 19 views 0

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  1. Amity
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    2021-07-18T23:14:35+00:00
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    Answer:

    |LN| = 24

    Step-by-step explanation:

    Given

    LM:MN:NO = 3:1:2

    LO = 30

    Required

    Find LN

    LN = LM + MN

    From the ratio, LM = 3 and MN = 1

    So:

    LN = 3 + 1

    LN = 4

    LN and NO can be represented as:

    LN : NO = 4 : 1

    The length of LN is then calculated as:

    |LN| = \frac{LN}{LN+NO}*|LO|

    |LN| = \frac{4}{4+1}*30

    |LN| = \frac{4}{5}*30

    |LN| = \frac{4*30}{5}

    |LN| = \frac{120}{5}

    |LN| = 24

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