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Answer:
m∠SVW = 80°
Step-by-step explanation:
3. The sum of <em>same-side interior</em> angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.
4x + 5x = 180
9x = 180 . . . . . . . . collect terms
x = 20 . . . . . . . . . . divide by 9
m∠SVW = 4x° = 4(20)°
m∠SVW = 80°
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4. Then m∠VWT = 180° -80° = 100° = 5x°.
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5. <em>Consecutive interior</em> angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)
15. -(-7y + 12) = 7y - 12
16. 1/a = 16/18
cross multiply
16a = 18
a = 18/16 = 9/8
17. 8x - 12 = 4x + 24
8x - 4x = 24 + 12
4x = 36
x = 36/4
x = 9
18. -6b > 42 4b > -4
b < 42/-6 b > -4/4
b < - 7 b > -1
so b < -7 and b > -1
19. 6 more then the product of 8 and n
6 + 8n
20. 45 = 3b + 69
45 - 69 = 3b
-24 = 3b
-24/3 = b
-8 = b
Answer:
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