Question
The diagonals of parallelogram LMNO intersect at point P. If MP = 2x − 1 and OP = 3x − 4, what is MP?
−1
1
3
5
−1
1
3
5
Answers
GPT 3.5
To find MP, we need to first set MP equal to OP since they intersect at point P.
So, 2x - 1 = 3x - 4
Solving for x:
2x - 1 = 3x - 4
2x - 3x = -4 + 1
-x = -3
x = 3
Now that we know x = 3, we can substitute it back into MP to find its value:
MP = 2x - 1
MP = 2(3) - 1
MP = 6 - 1
MP = 5
Therefore, MP is 5.
So, 2x - 1 = 3x - 4
Solving for x:
2x - 1 = 3x - 4
2x - 3x = -4 + 1
-x = -3
x = 3
Now that we know x = 3, we can substitute it back into MP to find its value:
MP = 2x - 1
MP = 2(3) - 1
MP = 6 - 1
MP = 5
Therefore, MP is 5.