Answer:
3=m
Explanation:
If ABCD is a parallelogram that means its opposite sides are congruent.
If you look at it in picture form it would look like...
A______________B
I I
I______________I
D C
(please excuse my poor shape designing skills)
So if AD ad BC are opposite sides, they are congruent
this means..
3m+10 = 7m-2
First, add 2 to both sides
3m+10=7m-2
+2 +2
3m+12=7m
This cancels out the 2 on the right side of the equation.
Then, subtract 3m from both sides
3m+12=7m
-3m -3m
12=4m
the three cancels out on the left side and you are left with 12=4m
Last, divide 12 by 4
which gives you the answer of m =3
CHECKING YOUR ANSWER:
subsitute 3 into the equation for m
3(3)+10=7(3)-2
3(3)=9
7(3)=21
9+10=21-2
9+10=19
21-2=19
19=19