SOLUTION: If NCTM is a parallelogram, m<N=12x+10y+5, m<c=9x,m<t=6x+15y, what is m<M

Algebra ->  Parallelograms -> SOLUTION: If NCTM is a parallelogram, m<N=12x+10y+5, m<c=9x,m<t=6x+15y, what is m<M      Log On


   

Question 1043839: If NCTM is a parallelogram, m
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N%2BC=180
T%2BM=180
N=T
C=M
So then,
12x%2B10y%2B5%2B6x%2B15y=180
1.18x%2B25y=175
.
.
2.6x%2B15y%2BM=180
.
.
12x%2B10y%2B5=6x%2B15y
3.6x-5y=-5
.
.
4.9x=M
.
.
Multiply eq. 3 by 5 and add to eq. 1,
30x-25y%2B18x%2B25y=-25%2B175
48x=150
x=25%2F8
So then,
M=6%2825%2F8%29
M=125%2F8