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23 July, 22:02

M is between L and C. LM=11, MC=2x+5, and LC = 6x-6. What is MC?

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  1. 24 July, 01:05
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    To be able to answer the question above, understand that LC is the sum of the lengths of LM and MC. By this the following equation is generated,

    LC = LM + MC

    6x - 6 = 11 + 2x + 5

    Solving for the value of x gives x = 5.5.

    Substitute the obtained value of x to the expression for the length of MC.

    MC = 2x + 5 = 2 (5.5) + 5 = 16

    Thus, the length of MC is 16 units.
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