The diagonals of parallelogram LMNO intersect at point P. If MP = 2x + 5 and OP = 3x − 7, what is MP?
29
12
1
−2
To find the value of MP, we first need to set MP equal to OP since they both originate from point P.
So, 2x + 5 = 3x - 7
Rearranging the equation, we get:
2x - 3x = -7 - 5
-x = -12
x = 12
Substitute x back into MP = 2x + 5:
MP = 2(12) + 5
MP = 24 + 5
MP = 29
Therefore, MP = 29.