To find one interior angle of a regular octagon first we need to find the sum of all interior angles of the octagon.
There is a formula to find the sum of all interior angles. The formula is
, where n is the total number of sides of the polygon.
For octagon the total number of sides = 8.
So the sum of interior angles of the octagon
= 
= 
= 
Now for regular octagon all the angles are equal.
There are total of 8 angles for the octagon. As all angles are same, we can find one interior angle by dividing the sum of interior angles by the number of angles.
So, the measurement of one interior angle
= 
= 
We have got the required answer here. The measure of one interior angle of regular octagon is .
So, the correct option is option D.
Answer:
9 quarters
Step-by-step explanation:
Total cost of money in the coin bank = $3.55
Let the number of dimes be = d
Let the number of quarters be = q
Let the number of nickels be = n
Where:
1 quarter = $0.25
1 dime = $0.1
1 nickel = $0.05
Hence,
0.1(d) + 0.25(q) +0.05(n) = $3.55
In the question, we are told that:
The number of dimes is four less than the number of quarters, mathematically
d = q - 4
The number of nickels is seven more than the number of quarters, mathematically,
n = q + 7
From the question, we are ask to find q
0.1(d) + 0.25(q) +0.05(n) = $3.55
since d = q - 4
n = q + 7
We substitute
0.1(q - 4) +0.25( q )+ 0.05(q + 7) = $3.55
0.1(q - 4) +0.25( q )+ 0.05(q + 7) =$3.55
0.1q - 0.4 +0.25q + 0.05q + 0.35 = $3.55
Collect like terms
0.1q + 0.25q + 0.05q = 3.55 + 0.4 - 0.35
0.4q = 3.6
q = 3.6/0.4
q = 9
Therefore the number of quarters is 9.
Left one on the bottom because when doing the line test, it does not intercept the function more than once
Answer:
Step-by-step explanation:
the mean would be appropriate measure of center to describe the data shown in the histogram because the data is symmetrical.A symmetric histogram is a distribution in which the 2 halves appear to be the same on both sides.
Answer:
I think b
Step-by-step explanation:
