Which of the values satisfy the following inequality
|x-7.5|≤ 17
select all that apply.
a: x= 20
b: x= -10
c: x= -9
d: x= 27

  A:  x = 20

  C:  x = -9

Step-by-step explanation:

You can solve the inequality and compare that with the offered choices, or you can try the choices in the inequality to see if it is true. Either approach works, and they take about the same effort.

Solving it:

Unfold it ...

  -17 ≤ x -7.5 ≤ 17

Add 7.5 ...

  -9.5 ≤ x ≤ 24.5

The numbers 20 and -9 are in this range: answer choices A and C.

Trying the choices:

A:  |20 -7.5| = 12.5 ≤ 17 . . . . this works

B:  |-10 -7.5| = 17.5 . . . doesn't work

C:  |-9 -7.5| = 16.5 ≤ 17 . . . . .this works

D:  |27-7.5| = 19.5 . . . doesn't work

The choices that work are answer choices A and C.

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)