Your slope would be -1/4x. If you look at the y-intercept on your graph, which is -2, you would start to count up one box and over 4 boxes to the left. We call this rise/run. So knowing what the slope is now, your entire equation would be y= -1/4x - 2. (Also, if the line is going up towards the left it is a negative slope, if it's to the right it is positive.) I hope this helps love! :)
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
#LearnwithBrainly
Answer:
<em>The base of the triangle = 9inches</em>
Step-by-step explanation:
<u>Explanation</u>:-
The area of the triangle =
square units
Given area of the triangle(A) = 54 square inches
Given the height of the triangle (h) = 12 inches
now equating ![\frac{1}{2} b h = 54](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%20b%20h%20%3D%2054)
![\frac{1}{2} b (12) = 54](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%20b%20%2812%29%20%20%3D%2054)
now simplification, we get
6 b = 54
Dividing '6' on both sides, we get
b = 9
The base of the triangle = 9 inches
<u>Conclusion</u>:-
<em>The base of the triangle = 9 inches</em>
768.57 / 41.1 = 18.7 m per hr