3. Find the length of MG. EGF ~ EML.
1 answer:
The length of MG is 56 for the given similar triangles.
<u>Step-by-step explanation:</u>
Let us consider EML and EGF is two similar triangles.
From the triangle,
EG=5x+2.
EM=16.
EL=28.
EF=126.
According to similar triangle property,
triangle ratio=
.
126(16)=28(5x+2).
2016=140x+56.
140x=1960.
x=14.
⇒EG=5(14)+2.
EG=70+2.
EG=72.
To find the length of MG,
EG=EM+MG.
MG=EG-EM.
=72-16.
MG=56.
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Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
Hope it helped,
BioTeacher101