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zmey [24]
3 years ago
15

PLEASE HELP!!! Find MG. ∆EGF~∆EML.

Mathematics
1 answer:
stiv31 [10]3 years ago
3 0

Answer:

MG=56\ units

Step-by-step explanation:

step 1

Find the value of x

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem we have that

∆EGF~∆EML

so

\frac{EG}{EM}=\frac{EF}{EL}

substitute the given values

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

solve for x

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

5x+2=72\\5x=70\\x=14

EG=5x+2=5(14)+2=72\ units

step 2

Find MG

we know that

MG=EG-EM

substitute

MG=72-16=56\ units

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