The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer
Step-by-step explanation:
In a regular n-side polygon:
- All sides are equal in lengths
- All angles are equal in measure
- The measure of each interior angle =

- The measure of each exterior angle =

- The sum of interior angle and exterior angle at a vertex is 180°
∵ The measure of an interior angle of a regular polygon is 120°
∵ The sum of interior angle and exterior angle at a vertex = 180°
∴ The measure of each exterior angle = 180 - 120
∴ The measure of each exterior angle = 60°
∵ The measure of each exterior angle = 
- Substitute the measure of the exterior angle by 60
∴ 
- By using cross multiplication
∴ 60 n = 360
- Divide both sides by 60
∴ n = 6
∴ The polygon has 6 sides
The measure of each exterior angle is 60° and the polygon has 6 sides
Learn more:
You can learn more about polygons in brainly.com/question/6281564
#LearnwithBrainly
Answer:
5n
Step-by-step explanation:
Summarizing what we know:
Casey has n nickels, and Meghan 4 times as many: 4n
Then the total number of nickets these two people have is n + 4n, or 5n.
Answer:
x is the price the helmets were sold at.
y is the business expenses.
r is the revenue.
500x - y = r
Step-by-step explanation:
500x - y = r
We multiply x, the price that the helmets were sold at. Then we subtract y, which is the business expenses. After this, we get r, our revenue.
Answer:
18/28, or percentage wise, approximately 64.2%
Step-by-step explanation:
Take the seniors and divide it by the total # of students, and you got your probability!
Answer:
4
Step-by-step explanation:
20×25 = 500
20 guest
25 dollars per guest
75s+200= 500
75s = 300
S = 4
They can afford to buy 4 cases of snacks and stay within their budget.