Show ALL your work. @100 POINTS + BRAINLYEST + 5 STARS AND LIKEFind MG. ∆EGF~∆EML.

Mathematics

1 answer:

Afina-wow [57]3 years ago

4 0

Answer:

MG = 56

Step-by-step explanation:

The triangles EML and EGF are similar thus the ratios of corresponding sides are equal, that is

$\frac{EM}{EG}$ = $\frac{EL}{EF}$ , and substituting values

$\frac{16}{5x+2}$ = $\frac{28}{126}$ ( 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

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