Can someone please help me with this questions The points H,I,J and K all lie on the same line segment, in that order, such that the ratio o

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Can someone please help me with this questions The points H,I,J and K all lie on the same line segment, in that order, such that the ratio of HI:IJ:JK is equal to 2:2:3. If HK=49, find IJ.

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Lệ Thu 2 months 2021-09-02T15:09:37+00:00 1 Answers 2 views 0

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    2021-09-02T15:11:07+00:00

    Answer:

    IJ = 14

    Step-by-step explanation:

    If the point HIJK all lies on the same line, then HI + IJ + JK = HK

    2 + 2 + 3  = HK

    HK = 7

    Since the total length is HK

    IJ = ratio of IJ/Total ratio * HK

    IJ = 2/7 * 49

    IJ = 2 * 7

    IJ = 14

    Hence the length of IJ is 14

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