There are several information's already given in the question. Based on those information's the answer can be detrmined.
Smaller of the two integers = n
Larger of the two integers = n + 1
Then
(1/2) * [(n) * ( n + 1)] = 105
(1/2) * (n^2 + n) = 105
m^2 + n = 210
n^2 + n - 210 = 0
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the first option or option "A".
To solve this problem, we must do a method of trial and error to find
for the next highest integer with exactly three factors. We know that the value
of k must be greater than 4, therefore by using trial and error to find for the
correct answer:
Factors of 5:1, 5
Factors of 6:1, 2, 3, 6
Factors of 7:1, 7
Factors of 8:1, 2, 4, 8
Factors of 9:1, 3, 9
Therefore we stop at 9 since this is already our answer. It has exactly
three factors.
The sum of the factors is:
sum of factors = 1 + 3 + 9
<span>sum of factors = 13</span>
D and B are the answers because they are the variables.
Answer:
80 degrees
Step-by-step explanation:
This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.
And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)
To do this, find the slope, y-intercept, and your goal.
Your goal is 500.
Your slope is 6.25 per orange.
Your y-intercept is 0 (you don't start out with anything.)
So, the inequality is

.