If JKLM is a rectangle, JL = 2x + 5, and MK = 7x – 40, find MK

The value of MK is 23.

The diagonals of a rectangle that intersect each other are equal (a property of a rectangle).

Therefore:

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MK = 23

Step-by-step explanation:

Rectangle means that the angles are all 90 degrees, so all the sides are not tilted in any direction. Meaning the JL = MK, therefore:

2x + 5 = 7x - 40

subtract 5 from both sides

2x = 7x - 45

subtract 7x from both sides

-5x = -45

divide by -5

x = 9

Now input 9 into the equation

MK = 7(9) - 40 = 63 - 40 = 23