What is the 20th term of the arithmetic sequence 3, 9, 15, 21, 27, ...?
2 answers:
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Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:
where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute
so
The linear equation that represent this problem is
solve for x
so
therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees
D. 4 19/24
(WORK BELOW)
(WORK BELOW)
Answer:
.
In other words, the in
could be any real number as long as
for all integer
(including negative integers.)
Step-by-step explanation:
The tangent function has a real value for real inputs
as long as the input
for all integer
.
Hence, the domain of the original tangent function is .
On the other hand, in the function , the input to the tangent function is replaced with
.
The transformed tangent function would have a real value as long as its input
ensures that
for all integer
.
In other words, would have a real value as long as
.
Accordingly, the domain of would be
.