Answer:
The correct answer is:
d) 
Step-by-step explanation:
The given question is regarding polynomial division.
Please find the attached file for the explanation.
Polynomial division gives:
Quotient: 
Remainder: 3
Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused. If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267. Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88. That's the smallest integer; the largest is found by adding 88 + 2 which is 90. So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.
Volume = area of base * height = 1/2 * 6 * 8 * 12
= 288 ft^3 answer
Answer:
a. 25
Step-by-step explanation:
Note that the specifically state that they are vertical angles. This means that the two measurements should equal each other. Set the two expressions equal to each other, and isolate the x. Note the equal sign, what you do to one side, you do to the other:
3x = x + 50
Subtract x from both sides to isolate the x:
3x (-x) = x (-x) + 50
3x - x = 50
2x = 50
Isolate the x, divide 2 from both sides:
(2x)/2 = (50)/2
x = 50/2
x = 25
x = 25, or (a) 25 is your answer.
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With 5 elements in A={20,1,6,10,11}, there are 2^5=32 possible subsets, including
the null set, and A itself.
Any subset that is identical to A is NOT a proper subset.
Therefore there are 31 proper subsets, plus the subset {20,1,6,10,11}.
The subsets are:
null set {} (has no elements) ........total 1
{20},{1},{6},{10},{11}.......................total 5
{20,1},{20,6}...{10,11}.....................total 10
{20,1,6},{20,1,10},...{6,10,11}.........total 10
{20,1,6,10}...{1,6,10,11}.................total 5
{20,1,6,10,11}.................................total 1
Altogether 32 subsets.