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

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.