mystiquealbertson125 mystiquealbertson125
  • 23-08-2022
  • Mathematics
contestada

The diagonals of parallelogram LMNO intersect at point P. If MP = 2x − 1 and OP = 3x − 4, what is MP?

−1
1
3
5

Respuesta :

barackodam barackodam
  • 25-08-2022

The value of MP is 5 . option D

How to determine the value

It is important to note that diagonals of a parallelogram bisect each other at an 90 degree angle

From the information given, the two diagonals area;

  • MP = 2x − 1
  • OP = 3x − 4

Let's equate the diagonals

MP =  OP

2x - 1 = 3x - 4

collect like terms

2x -3x = -4 + 1

-x = -3

Make 'x' the subject

x = -3/ -1

x = 3

MP = 2x - 1 = 2 (3) - 1 =6 - 1 = 5

Thus, the value of MP is 5 . option D

Learn more about diagonals here:

https://brainly.com/question/10187910

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