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PAGE 1

18.) d

BONUS) x = 4 (work below)

PAGE 2 (SCREENSHOT)

PAGE 3

12.) b

13.) b

PAGE 4

14.) d

15.) b

PAGE 5

16.) a

17.) b

Step-by-step explanation:

PAGE 1

18.) The slope would be the reciprocal of 2/3 and have the opposite sign, so y = -3/2x - 6 is the only one that shows that.

BONUS) 16x and 48 will equal 28x

16x + 48 = 28x (subtract 16x on both sides)

48 = 12x (divide by 12 on both sides)

4 = x

PAGE 2

SCREENSHOT

PAGE 3

12.) x and 135 are alternate exterior angles so they have the same measure, so x = 135. And x and y are a linear pair so. x + y = 180 ---> 135 + y = 180 ----->       y = 45

13.) Yes because the angles are alternate interior angles and one angle is on line p and the other is on line q. If the angles are congruent and lay on either p or q then p || q.

PAGE 4

14.) x + 25 = 90 (subtract 25 on both sides)

x = 65 Since x and y are corresponding angles they have the same measure, so..

y - 18 = 90 (add 18 on both sides)

y = 108

15.) If m<2 = m<6 are congruent then line r and s are parallel. m<2 is on line r and m<6 is on line s so r || s.

PAGE 5

16.) To find slope use this y2 - y1/x2 - x1 Plug in AB then CD

AB- (-3 - 8/-15 - 1) = -11/-16 = 11/16

CD- (15 - -7/12 - -20) = 22/ 32 = 11/6

The lines are parallel because they have the same slope of 11/16

17.) Line a: 5x - y = 6 (subtract 5x on both sides)

-y = -5x + 6 (divide by - on both sides)

Line a: y = 5x - 6

Line b: x + 5y = 5 (subtract x on both sides)

5y = -x + 5 (divide by 5 on both sides)

Line b: y = -1/5 + 1

Line a and b are perpendicular because there slopes are different they have negative reciprocals.

Hope this helps!!!

Step-by-step explanation:

(2+x)(2-x)

2(2-x)+x(2-x)

4-2x+2x-x^2

4-x^2