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Answer:
MG = 56
Step-by-step explanation:
The triangles EML and EGF are similar thus the ratios of corresponding sides are equal, that is
=
, and substituting values
=
( cross- multiply )
28(5x + 2) = 2016 ( divide both sides by 28 )
5x + 2 = 72 ( subtract 2 from both sides )
5x = 70 ( divide both sides by 5 )
x = 14
Thus
EG = 5x + 2 = 5(14) + 2 = 70 + 2 = 72
Hence
MG = EG - EM = 72 - 16 = 56