4. If mZRST = (12x - 1)º, mZRSU = (9x - 15), and mZUST = 53°, find each measure.
x=
mZRST =
mZRSU =

mZRST = 155°, mZRSU  = 102°

Step-by-step explanation:

Given that mZRST = (12x - 1)º, mZRSU = (9x - 15),  and mZUST = 53°.

We know that mZRSU + mZUST = mZRST (since S is a common point)

So, (9x - 15)º + 53° = (12x - 1)º

Expanding the brackets we have

9x - 15 + 53 = 12x - 1

collecting like terms, we have

53 - 15 + 1 = 12x - 9x

54 - 15 = 3x

39 = 3x

Dividing through by 3, we have

x = 39/3

x = 13°

So, mZRST = (12x - 1)º

= 12(13) - 1

= 156 - 1

= 155°

So, mZRST = 155°

mZRSU = (9x - 15),  

= 9(13) - 15

= 117 - 15

= 102°

So, mZRSU = 102°

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.

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hope this ! have a great day.

-wfz