Answer:
360
1080
Step-by-step explanation:
We can find the sum of the interior angles of any regular polygon by using this formula
(n - 2) * 180
where n = number of sides
For the square: the square has 4 sides
To find the sum of the interior angles we simply substitute 4 for n in the formula
Formula: (n - 2) * 180
Substitute 4 for n
(4 - 2 ) * 180
Subtract 4-2
2 * 180
Multiply
= 360
The sum of the interior angles of the first polygon is 360
For the second one:
We will repeat this exact process the only difference is the value of "n"
The polygon shown has 8 sides
So to find the sum of the interior angles we simply substitute 8 for n in The formula
Formula (n - 2) * 180
Substitute 8 for n
(8 - 2) * 180
Subtract 8 - 2
6 * 180
Multiply
= 1080
The interior angles of a 8 sided figure will add up to 1080
6x² + 24x - 72
Divide all the terms by the greatest common of factor of 6. Makes factoring easier. We will need to put this 6 on at the end so keep it in mind.
(6x² + 24x - 72) / 6 = x² + 4x - 12
Your simplified equation is x² + 4x - 12
Now to factor we must find out what two factors of - 12 can be added together to equal 4. The factors are 6 and -2:
x² - 2x + 6x - 12
Now we must group and factor.
(x² - 2x) + (6x - 12)
We can pull an x out of the first binomial because both terms have that in common:
x(x - 2) + (6x - 12)
We can pull a 6 out of the second binomial for the same reason:
x(x - 2) + 6(x - 2)
The terms inside the parentheses match each other, this means (x- 2) is one of the factors of the original trinomial. The other comes from the terms on the outside x and + 6. Put them together, (x + 6)
So your factors are (x - 2)(x + 6); this isn't it though. We need the 6 from the top, the one we divided out to make factoring easier. We will put it on the outside of whichever factor you list first so that your final answer reflects that to get back to the original trinomial, you would have to multiply the whole thing by 6.
Your final answer is:
6(x - 2)(x +6)
Tara needs to read 81 pages by next friday.
First, divide the pages of the book by 5.
203 ÷ 5 = 40.6
Then, multiply the answer by 2.
40.6 x 2 = 81.2
Now, round down.
81 pages.
Answer:
4.3 hours
Step-by-step explanation:
Add all of the fractions to get
7.7
and then simply do
12 - 7.7
