The answer is 15 to the question
Problem 1
The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.
6x = 30
x = 30/6
x = 5 is the answer
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Problem 2
The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).
So,
5x+(3x+12) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21 is the answer
Answer:
y =-3000x +12000
Step-by-step explanation:
answer is
1) 12000 is the constant therefore when the number of hours is 0 the tickets are 12000
2) the number of tickets (y) are reducing by 3000 for each hour(x). thus the coefficient of variable x should be -3000 (negative because it is reducing)
I conclude that the sum will be even because any even number can be represented by 2n where n is a whole number
and even numbers are 2 apart, so
the sum of the first 15 are
2n+2(n+1)+2(n+2) etc until we get to 2(n+14)
we can undistribute the 2 from all of them and get
2(n+n+1+n+2...n+14)
and we are sure that whatever is in the parenthasees is a whole number because whole+whole=whole
therefor, the sum is even
if you did want to find the sum then
an=2n
the 15th even number is 30
the first is 2
S15=15(2+30)/2=15(32)/2=15(16)=240
which is even
Hello!
to solve this problem, use the following equation
<span><span><span>(<span>4/3(3.141593)</span>)</span>(9^</span>3) </span>= <span>3053.628059</span><span>
so your final answer is:
the volume of the volleyball is </span>3053.628059<span>
I hope this helps, and have a nice day.</span>