Question

PLEASE HELP!!! Find MG. ∆EGF~∆EML.

Answer 1

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

$MG=72-16=56\ units$