Help ASAP! Plz
Find the indicated angle
measure.

21. <ABC = 58 Degrees

22. <LMN = 108 Degrees

23. <RSV = 42 Degrees

24. <LHK = 101 Degrees

28. <ABX = 112 Degrees and <CBX = 68 Degrees

29. <RSQ = 32 Degrees and <TSQ = 58 Degrees

30. <DEH = 39 Degrees and <FEH = 51 Degrees

Step-by-step explanation:

21. Add the degrees the find angle ABC

37 + 21 = 58

22. Add the degrees the find angle LMN

85 + 23 = 108

23. For this problem, you are suppose to subtract the angle measure given to you (72 degrees) from the degrees of the whole angle (<RST) to find the missing angle (RSV)

114 - 72 = 42

24. GHK is a straight line, meaning it equals 180 degrees. Subtract 180 from the angle measure given (79) to find the missing angle (LHK).

180 - 79 = 101

28. ABC is a straight line, meaning it equals 180 degrees. This also means that ABX + CBX = 180. First, find x, then use x to find the measures of ABX and CBX.

(14x + 70) + (20x + 8) = 180

Add Like Terms

34x + 78 = 180

Subtraction Prop. of Eq.

34x = 102

x = 3

Now, you can find the angle measures

14 * 3 + 70 = 112

20 * 3 + 8 = 68

(Make sure to check your work! 112 + 68 does indeed equal 180!)

29. RST is a right angle, meaning it equals 90 degrees. This also means that RSQ + TSQ = 90. First, find x, then use x to find the measures of RSQ and TSQ.

(15x - 43) + (8x + 18) = 90

Add Like Terms

23x - 25 = 90

Addition Prop of Eq.

23x = 115

x = 5

Now, you can find the angle measures

15 * 5 - 43 = 32

8 * 5 + 18 = 58

(Make sure to check your work! 32 + 58 does indeed equal 90!)

30. DEF is once again a right angle, so we follow the same steps from number 29.

13x + (10x + 21) = 90

Add Like Terms

23x + 21 = 90

Subtraction Prop of Eq.

23x = 69

x = 3

Now, you can find the angle measures

13 * 3 = 39

10 * 3 + 21 = 51

(Make sure to check your work! 39 + 51 does indeed equal 90!)

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

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sales for calendar 1987 will reach 20

(continued on page 79)

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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