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Naily [24]
3 years ago
8

Point G is between F and H. FH= 102, FG=5x+9, and HG=9x-5

Mathematics
1 answer:
dexar [7]3 years ago
7 0

a)

FH = 102, FG = 5x + 9. HG = 9x - 5     <em>Given</em>

  FG    +   HG   =    FH                        <em>Segment addition postulate</em>

5x + 9 + 9x - 5 =  102                         <em>Substitution</em>

            14x + 4 = 102                        <em>Simplify (added like terms)</em>

                  14x = 98                          <em>Subtraction property of equality</em>

                     x = 7                             <em>Division property of equality</em>

b)   FG = 5x + 9  = 5(7) + 9   = 35 + 9   = 44

c)   HG = 9x - 5   = 9(7) - 5   = 63 - 5   = 58

Answers: a = 7, b = 44, c = 58

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Which expression represents the sum of 2/3m - 1 1/6 and 5/6 - 1 1/3?
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If you would like to solve 2/3 * m - 1 1/6 + 5/6 * m - 1 1/3, you can calculate this using the following steps:

<span>2/3 * m - 1 1/6 + 5/6 * m - 1 1/3 = 4/6 * m + 5/6 * m - 7/6 - 4/3 = 9/6 * m - 7/6 - 8/6 = 1 3/6 * m - 15/6 = 1 1/2 * m - 2 3/6 = 1 1/2 * m - 2 1/2
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The correct result would be c. <span>1 1/2 * m - 2 1/2.</span>
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Read 2 more answers
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