Answer:
The polygon has 9 sides
Step-by-step explanation:
we know that
A regular polygon has equal length sides and equal interior angles
step 1
Find the measure of the interior angle
Remember that
The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)
Let
x ----> the measure of each interior angle in the regular polygon
so
solve for x
step 2
Find the number of sides of the regular polygon
we know that
The measure of each interior angle in a regular polygon is given by the formula
where
n is the number of sides of the polygon
substitute the given values
solve for n
therefore
The polygon has 9 sides
Thanks, you two, bless you.
~45.25 because the formula for circumference is 2(3.14286)a or 2(3.14286)7.2
Answer: An = 36 + 2(n - 1)
Step-by-step explanation:
If the height of the tree grows by 2 inches every year, then the height of the tree is increasing in arithmetic progression. The The formula for determining the nth term of an arithmetic sequence is expressed as
An = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 36 inches
d = 2 inches
Therefore, the explicit rule representing this situation is
An = 36 + 2(n - 1)