Sum of exterior angles of any polygon is 360 degrees.
<span>Each exterior angle of a regular polygon = 360/n where n is the number of sides. </span>
<span>So, n = 360/20 = 18. Your answer is D
Hope this helps.</span>
The slope of this line is -2.
rise/run
rise = 4
run = -2
4
------- = -2
-2
Using the points (1,0) & (0,2)
2 - 0 2
----------- = ----- = -2
0 - 1 -1
Answer:
<h2>
![\huge \red { \boxed{ \blue{ \boxed{ \tt \: x < - \frac{5}{2} }}}}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cred%20%7B%20%5Cboxed%7B%20%5Cblue%7B%20%5Cboxed%7B%20%5Ctt%20%5C%3A%20x%20%3C%20%20%20-%20%5Cfrac%7B5%7D%7B2%7D%20%7D%7D%7D%7D)
</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>to find:</h3>
<h3>tips and formulas:</h3>
the direction of inequality does not change
when you
- Add (or subtract) a number from both sides
- Multiply (or divide) both sides by a positive number
- Simplify a side
the direction of inequality does change
when you
- Multiply (or divide) both sides by a negative number
- Swapping left and right hand sides
let's solve:
![step - 1 : define](https://tex.z-dn.net/?f=step%20-%201%20%20%3A%20%20define)
![4x + 6 < 2x + 1](https://tex.z-dn.net/?f=4x%20%2B%206%20%3C%202x%20%2B%201)
![step - 2 : solve \: for \: x](https://tex.z-dn.net/?f=step%20-%202%20%3A%20solve%20%5C%3A%20for%20%5C%3A%20x)
![\tt{cancel \: 6\:from \: both \: sides} \\ \tt{4x + 6 - 6 < 2x + 1 - 6} \\ \tt 4x < 2x - 5](https://tex.z-dn.net/?f=%20%5Ctt%7Bcancel%20%20%5C%3A%206%5C%3Afrom%20%20%5C%3A%20both%20%5C%3A%20sides%7D%20%5C%5C%20%20%5Ctt%7B4x%20%2B%206%20-%206%20%3C%202x%20%2B%201%20-%206%7D%20%5C%5C%20%20%5Ctt%204x%20%3C%202x%20-%205)
![\tt cancel \: 2x \: from \: both \: sides \\ \tt 4x - 2x< 2x - 2x - 5 \\ \tt 2x < - 5](https://tex.z-dn.net/?f=%20%5Ctt%20cancel%20%5C%3A%202x%20%5C%3A%20from%20%5C%3A%20both%20%5C%3A%20sides%20%5C%5C%20%5Ctt%204x%20-%202x%3C%202x%20-%202x%20-%205%20%5C%5C%20%20%5Ctt%202x%20%3C%20%20-%205)
![\tt divide \: both \: sides \: by \: 2 \\ \tt\frac{2x}{2} < \frac{ -5 }{2} \\ \tt x < - \frac{5}{2}](https://tex.z-dn.net/?f=%20%5Ctt%20divide%20%5C%3A%20both%20%5C%3A%20sides%20%5C%3A%20by%20%5C%3A%202%20%5C%5C%20%20%20%5Ctt%5Cfrac%7B2x%7D%7B2%7D%20%20%3C%20%20%5Cfrac%7B%20-5%20%7D%7B2%7D%20%5C%5C%20%20%5Ctt%20x%20%3C%20%20%20-%20%5Cfrac%7B5%7D%7B2%7D%20)
66 more min. he used which could be 1 hour and 6 min.
Answer:
EBG is equal to 27
Step-by-step explanation:
We know that the sum of all three angles in a triangle is equal to 180, so we start from there. In this rectangle, there is only 1 tringle that has two angles, permitting us to find all three. This triangle is DFG. We find the last angle by subtracting: 180 - 27 - 41 = 112. Now we know that angle DGF is equal to 112. Using the fact that vertical angles always have the same value, we can also deduce that angle EGB is also equal to 112. Now we can finally find angle EBG: 180 - 41 - 112 = 27, therefore, angle EBG is equal to 27
Hope this helps :)