Answer:
x = 17
Step-by-step explanation:
These angles are supplementary so (2x + 5) + (8x = 5) = 180 then you just do the algebra
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483,600,000 miles
4 - hundred millions place
8 - ten millions place
3 - millions place
6 - hundred thousands place
0 - ten thousands, thousands, hundreds, tens, and ones place
A rug maker is using a pattern that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in the length and width. Write and simplify an expression for the perimeter of the new pattern.
p=2(96+l)+2(60+w)
This is the equation. p is for perimeter. (96+l) represents the original length plus the change in length. The 2 before (96+l) represents that there is one length on each side of the rectangle.
Same for the width. (60+w) represents the original width plus the change in width. The 2 before (60+w) represents that there is one width on each side of the rectangle.
The simplified equation is p=(192+2l)+(120+2w) (this is your answer)
I hope this helps!
You would solve it in two parts.
4*n = 44 Divide by 4
4n/4 = 44/4
n = 11
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z^m * z^2 = z^9
When the bases are the same (on the left) the powers on the left add
m + 2
The powers on the left side of the equation are the same as the powers on the right when the bases are the same.
m + 2 = 9 Subtract 2 from both sides.
m + 2 - 2 = 9 - 2
m = 7
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Answers
m = 7
n = 11
5(x-5)^4(x+4)
you raise x-5 to the 4th power because 5 has a multiplicity of 4