Problem 4
x = interior angle
y = exterior angle
x = 3y since "each interior angle...is three times the measure of each exterior angle"
The interior and exterior angles are supplementary, meaning,
x+y = 180
3y+y = 180
4y = 180
y = 180/4
y = 45
So we know that
n = 360/y
n = 360/45
n = 8
You are correct in saying that this is an octagon
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Problem 5
x = measure of missing angles
Find the sum of the interior angles
S = 180*(n-2)
S = 180*(5-2)
S = 540
The five interior angles add up to 540 degrees
Add up the five angles, set equal to 540, then solve for x
90+90+90+x+x = 540
2x+270 = 540
2x+270-270 = 540-270
2x = 270
2x/2 = 270/2
x = 135
So you have the correct answer of choice C) 135 degrees
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Problem 6
S = 180*(n-2)
S = 180*(6-2)
S = 180*4
S = 720
You have the correct answer. Nice work on all three correct answers.
Here is a link to help you find the answer:
https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/simplify-rati...
Hope this helps!
Do what? If you mean to find when it equals zero...
By inspection you can see that if x=0 or 2 the expression is equal to zero...
You multiply each term in the parentheses by the term outside the parentheses...like:
3x*3x+3x*6 which is equal to:
9x^2+18x If you meant to expand it....
9x(x+2) If you meant to factor it completely
Answer:
Option A.
Step-by-step explanation:
-22 is a number that is less than-18. This automatically eliminates option B.
And also, the way that option A. moves is -22, -20, -19, -18, 18, 30. This is correct because -18 is closer to 18 than -22 is. -22 is farther to the left than -18 is.
Hope this helps! :)
