Answer:
5
Step-by-step explanation:
solve equation 180+92x= 250+78x
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 =
![\frac{(n-2)*180}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B%28n-2%29%2A180%7D%7Bn%7D)
- The measure of each exterior angle =
![\frac{360}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7Bn%7D)
- 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 = ![\frac{360}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7Bn%7D)
- Substitute the measure of the exterior angle by 60
∴ ![60=\frac{360}{n}](https://tex.z-dn.net/?f=60%3D%5Cfrac%7B360%7D%7Bn%7D)
- 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
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Answer:
Distribute 2 to (x + 6) and 3 to (x-4)
Step-by-step explanation:
Since it's a wall, I'm guessing it will only have access to half the circle? Therefore:
<em>Circle area formula: </em>πr²
<em>Radius:</em> 12/2 = 6ft
<em>Our case:</em>
(π * 6²)/2 =
36π/2 =
18π = 56.55ft²