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1 answer:
Answer:
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!!!
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The base can be found using the sin of 30 degrees as this is a 30-60-90 right triangle.
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