Directions: If I || m, classify the marked angle pair and give their relationship, then solve for x.

Answer/Step-by-step explanation:

1. If l is parallel to m, therefore:

58° and (5x - 2)° are Corresponding Angles.

Relationship: 58° = (5x - 2)°

Solve for x

58 = 5x - 2

Add 2 to both sides

58 + 2 = 5x - 2 + 2

60 = 5x

Divide both sides by 5

60/5 = 5x/5

12 = x

x = 12

2. If l is parallel to m, therefore:

134° and (16x + 22)° are Alternate Exterior Angles.

Relationship: 134° = (16x + 22)°

Solve for x

134° = 16x + 22°

Subtract 22 from both sides

134 - 22 = 16x + 22 - 22

112 = 16x

Divide both sides by 16

112/16 = 16x/16

7 = x

x = 7

3. (7x - 1)° and 125° are Alternate Interior Angles.

Relationship: (7x - 1)° = 125°

Solve for x

7x - 1 = 125

Add 1 to both side

7x = 125 + 1

7x = 126

Divide both sides by 7

x = 18

4. (9x + 2)° and 133° are Same Side Interior Angles.

Relationship: (9x + 2)° + 133° = 180° (supplementary)

Solve for x

9x + 2 + 133 = 180

9x + 135 = 180

9x = 180 - 135

9x = 45

x = 5

5. (8x - 77)° and (3x + 38)° are Alternate Exterior Angles

Relationship: (8x - 77)° = (3x + 38)°

Solve for x

8x - 77 = 3x + 38

8x - 3x = 77 + 38

5x = 115

x = 23

6. (11x - 47)° and (6x - 2)° are Corresponding Angles.

Relationship: (11x - 47)° = (6x - 2)°

Solve for x

11x - 47 = 6x - 2

11x - 6x = 47 - 2

5x = 45

x = 9

7. (13x - 21)° and (5x + 75)° are Alternate Interior Angles.

Relationship: (13x - 21)° = (5x + 75)°

Solve for x

13x - 21 = 5x + 75

13x - 5x = 21 + 75

8x = 96

Divide both sides by 8

8x/8 = 96/8

x = 12

8. (9x - 33)° and (5x + 3)° are Consecutive Exterior Angles

Relationship: (9x - 33)° + (5x + 3)° = 180°

Solve for x

9x - 33 + 5x + 3 = 180

14x - 30 = 180

14x = 180 + 30

14x = 210

x = 15

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

idk

step-by-step explanation: i just don't