Answer: 125
Step-by-step explanation: ∠4 and 55 are supplementary angles. This means that ∠4 and 55 add up to 180. We can use this to solve for ∠4.
180 - 55 = ∠4
125 = ∠4
So, ∠4 is equal to 125 degrees.
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Answer:
V = 512 cm³
Step-by-step explanation:
Use the formula V = s³ to find the volume of the cube
V = 8³
V = 512 cm³
We know for the problem that the performer earned $120 at a performance where 8 people attend. We also know that he u<span>ses 43% of the money earned to pay the costs involved in putting on each performance, so we need to find the 43% of $120. To do that, we are going to divide 43% by 100%, and then multiply it by $120:
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Now we know that the performer uses $51.6 of $120 to pay the costs involved in putting on each performance. The only thing left to find his profits is subtract $51.6 from $120:

We can conclude that the performer makes a profit of $68.4 when 8 people attend his performance.
Answer:
The first opinion
Step-by-step explanation:
3n-5=-48-40n
Move -40n to the other side. Sign changes from -40n to +40n.
3n+40n-5=-48= -48-40n+40n
3n+40n-5=-48
Move -5 to the other side.
3n+40n-5+5=-48+5
3n+40n=-43
43n=-43
Divide by 43 for both sides
43n/43=-43/43
n=-1
Answer: n=-1