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°

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

goog may be able to you find that answer