monkey1988 monkey1988
  • 31-08-2018
  • Mathematics
contestada

M is the MIDPOINT OF FG. FG = 26 AND GM = (3X - 2)

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Riia
Riia Riia
  • 09-09-2018

It is given in the question that

M is the MIDPOINT OF FG.

[tex]FG = 26 \  AND \  GM = (3X - 2)[/tex]

Since M is the midpoint of FG, therefore GM is half of FG. That is

[tex]3X-2 = \frac{1}{2} (26)[/tex]

[tex]3X-2 =13 \\ 3X = 15 \\ X =5[/tex]

Therefore

[tex]GM = 3(5) -2 = 13[/tex]

And FM is 13 too .

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