Answer: 8
<u>Step-by-step explanation:</u>
The formula for the sum of the angles of a polynomial is:

1080 = 180(n - 2)
1080 = 180n - 360
1440 = 180n
8 = n
we know the perimeter is 24, and is an equilateral triangle, so it has three equal sides, so each side is 24 ÷ 3 = 8.

Answer:
longer leg: 20 in
shorter leg: 15 in
hypotenuse: 25 in
Formulas:
<u>Pythagorean Theorem</u>

c ... hypotenuse
a ... one leg
b ... another leg
Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).
Step-by-step explanation:
longer leg: x
shorter leg: x - 5
hypotenuse: x + 5
To find x (longer leg), let's use Pythagorean theorem.

Now let's factorize to get solutions for x.

First solution:

Second solution:

Since a side of a triangle has to be a positive number, x is equal to 20.
Now let's just substitute x back to get side lengths. From the question the lengths are in inches.
longer leg: x = 20 in
shorter leg: x - 5 = 20 - 5 = 15 in
hypotenuse: x + 5 = 20 + 5 = 25 in
The option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
<h3>Sequence and Series </h3>
From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14
In the given diagram,
The first picture requires 6 matches
The 2nd picture requires additional 5 matches
the 3rd picture requires additional 5 matches
and so on
That is
1 → 6
2 → 6 + 5 = 11
3 → 11 + 5 = 16
4 → 16 + 5 = 21
5 → 21 + 5 = 26
6 → 26 + 5 = 31
7 → 31 + 5 = 36
8 → 36 + 5 = 41
9 → 41 + 5 = 46
10 → 46 + 5 = 51
11 → 51 + 5 = 56
12 → 56 + 5 = 61
13 → 61 + 5 = 66
14 → 66 + 5 = 71
Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
Learn more on Sequence and Series here: brainly.com/question/10321751
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Answer:
Final Exam score is the response variable.
Step-by-step explanation:
The response variable is the variable of interest. It is what is being tested for given the predictor variables. The response variable is also called the dependent variable and from our question we want to predict final exam scores would improve if attendance is made mandatory or as the question says, required. The number of times attended is the independent variable while final exam score is the response variable.