2x+4=24
-4 -4
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2x=20
÷2 ÷2
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X=10
So 10 stickers in each pack
The explicit rule for any arithmetic sequence is:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number
In this case a=-3 and d=7 so:
a(n)=-3+7(n-1)
a(n)=-3+7n-7
a(n)=7n-10
Answers:
Angle A = 104 degrees
Angle B = 76 degrees
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Supplementary angles add to 180 degrees.
A+B = 180
(3x-7)+(2x+2) = 180
5x-5 = 180
5x-5+5 = 180+5 ... add 5 to both sides
5x = 185
5x/5 = 185/5 .... divide both sides by 5
x = 37
Use x =37 to find
Angle A = 3x-7 = 3*37-7 = 111-7 = 104 degrees
Angle B = 2x+2 = 2*37+2 = 74+2 = 76 degrees
As a check: A+B = 104+76 = 180 so that helps confirm the answer
You combine like terms like 8y+13y which gives you 21y and don't forget the -5x so your simplified equation would end up being A. 21 - 5x
