Answer:
-2
Step-by-step explanation:
(5 - a) = 20 + (6a -1) . . . . . 5-a is 20 greater than 6a-1
5 = 7a +19 . . . . . . . . . . . . . add a, collect terms
-14 = 7a . . . . . . . . . . . . . . . subtract 19
-2 = a . . . . . . . . . . . . . . . . divide by 7
The value of the variable is -2.
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<u>Check</u>
5 - (-2) = 7
6(-2) -1 = -13
7 is 20 greater than -13, so the answer checks OK.
Answer:
Step-by-step explanation:
GH bisects ∠FGI
∠HGI = ∠HGF
4x - 14 = 3x - 3
4x = 3x - 3 + 14 {Add 14 to both sides}
4x = 3x + 11 {Subtract 3x from both sides}
4x - 3x = 11
x = 11
∠HGI = 4x - 14
= 4*11 - 14
= 44 - 14
= 30°
∠FGI = 30 + 30
= 60°
Factors for 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
<span>Factors for 45: 1, 3, 5, </span>9<span>, 15, 45
Great Common Factor is 9</span>
<span>(-3 + 3i) + (-6 + 6i) =
= -3 + 3i + (-6) + 6i
= 3i + 6i + (-3) + (-6)
= 9i + (-9)
= 9i - 9
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