Which of the following is (are) the solution(s) to |x-13|< 18

-5<x<31

Step-by-step explanation:

First define the type of problem. In this case the problem you are dealing with is an absolute value inequality.

Next set up your problem. Because this problem has an absolute value you will write and solve two inequalities: x -13 < 18 and x-13 > -18. This is due to absolute value problems ignoring the sign of numbers. for example the absolute value of -5 s equal to the absolute value of 5. Due to this fact your problem will be satisfied when x-13 is greater than -18 and less than positive 18. you flip the inequality symbol on the equation X - 13 > -18 because the sign of one of the sides changes in this case the 18 becomes negative.

After setting up your equations solve one then the other. To solve the inequality x-13< 18 simply add 13 to the each side. the answer to the this inequality is x<31.

Next solve the second equation. To solve  x-13 > -18 add 13 to each side. The answer to this inequality is x > -5

Finally combine the two answers because X > -5 and X < 31 the solutions to the problem would be all real numbers between -5 and 31 or in other words -5<x<31.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

sorry i need the points

step-by-step explanation:

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