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MTH 208 Week 2 Quiz

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Week 2 Quiz
1.
(t – 3)/6 = 2t – 2
6(t – 3)/6 = 6 (2t – 2)
t – 3 = 12t – 12
t – 3 + 3 = 12t – 12 + 3
t = 12t – 9
t – 12t = 12t – 12t -9
-11t = - 9
-11t / -11 = -9/ -11
t = 9/11
2.
180 = x (x+15) + (x-23)
180 = 3x +15 – 23
180 = 3x – 8
180 + 8 = 3x -8 + 8
188 = 3x
188/3 = 3x/3
188/3° = x
188/3° = Angle 1

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x + 15
188/3 + 15
188/3 + 45/3
233/3° = Angle 2
X – 23
188/3 – 23
188/3 – 69/3
119/3° = Angle 3
3.
6x – 3 ≤ 3(x – 1)
6x – 3 ≤ 3x – 3
6x/ 3x -3 ≤ - 3
2x – 3 + 3 ≤ - 3 + 3
2x ≤ 0
2x/2 ≤ 0/2
X ≤ 0
X = -2
6(-2) – 3 ≤ 3(-2 – 1)
-12 – 3 ≤ -6 – 3

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Week 2 Quiz 1. ? (t - 3)/6 = 2t - 2 6(t - 3)/6 = 6 (2t - 2) t - 3 = 12t - 12 t - 3 + 3 = 12t - 12 + 3 t = 12t - 9 t - 12t = 12t - 12t -9 -11t = - 9 -11t / -11 = -9/ -11 t = 9/11 ? ? 2. ? 180 = x (x+15) + (x-23) 180 = 3x +15 - 23 180 = 3x - 8 180 + 8 = 3x -8 + 8 188 = 3x 188/3 = 3x/3 188/3? = x 188/3? = Angle 1 ? x + 15 188/3 + 15 188/3 + 45/3 233/3? = Angle 2 ? X - 23 188/3 - 23 188/3 - 69/3 119/3? = Angle 3 ? ? 3. 6x - 3 ? 3(x - 1) 6x - 3 ? 3x - 3 6x/ 3x -3 ? - 3 2x - 3 + 3 ? - 3 + 3 2x ? 0 2x/2 ? 0/2 X ? 0 ? X = -2 6(-2) - 3 ? 3(-2 - 1) -12 - 3 ? -6 - 3 - 15 ? - 9 = TRUE ? X = 2 6(2) - 3 ? 3 (2 - 1) 12 - 3 ? 6 -3 9 ? 3 = FALSE ...
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