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const2013 [10]
3 years ago
7

Use the figure below to Find midsegment please help

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Answer:

38 units.

Step-by-step explanation:

4x + 6 = \frac{1}{2}(4x + 44)      {midpoint theorem}

4x + 6 = \frac{1}{2}*4x +  \frac{1}{2}*44

4x + 6 = 2x + 22

4x -2x + 6 = 22

  2x   + 6  = 22

           2x = 22 -6

          2x = 16

            x = 16/2

            x = 8

Length of midsegment = 4x + 6 = 4*8 + 6

                                     = 32 + 6

                                     = 38

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