The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.
The measure of each interior angle of an equiangular n-gon is.
If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
Answer:
12/7 is a improper fraction
Step-by-step explanation:
as a decimal it is 1.71428571429 and as a mixed number it is 1 5/7
Answer:
(-2,-2)
Step-by-step explanation:
2018 is the 70th term of the progression.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form

We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.
Answer:
x² + 4x + 3
Step-by-step explanation:
to find f(g(x)), substitute x = g(x) into f(x)
f(g(x)) = f(x + 2) = (x + 2)² - 1 = x² + 4x + 4 - 1 = x² + 4x + 3