Answer:
82
Step-by-step explanation:
its duble the top side
<span>6x-3y=27 --> 3*(2x-y = 9)
3x-y=13 Doesn't factor</span>
Answer:
![x = 19](https://tex.z-dn.net/?f=x%20%3D%2019)
Step-by-step explanation:
Given
Shape: Regular Dodecagon
Interior Angle = 8x - 2
Required
Determine x
The sum of n terms of a regular polygon is:
![Sum=180(n-2)](https://tex.z-dn.net/?f=Sum%3D180%28n-2%29)
Sides of a dodecagon is 12; So, we have:
![Sum=180(12-2)](https://tex.z-dn.net/?f=Sum%3D180%2812-2%29)
![Sum=180(10)](https://tex.z-dn.net/?f=Sum%3D180%2810%29)
![Sum=1800](https://tex.z-dn.net/?f=Sum%3D1800)
Each angle is gotten by dividing 1800 by 12
![Angle = \frac{1800}{12}](https://tex.z-dn.net/?f=Angle%20%3D%20%5Cfrac%7B1800%7D%7B12%7D)
![Angle = 150](https://tex.z-dn.net/?f=Angle%20%3D%20150)
Equate this to 8x - 2:
![8x - 2 = 150](https://tex.z-dn.net/?f=8x%20-%202%20%3D%20150)
Solve for x
![8x = 150 + 2](https://tex.z-dn.net/?f=8x%20%3D%20150%20%2B%202)
![8x = 152](https://tex.z-dn.net/?f=8x%20%3D%20152)
![x = 152/8](https://tex.z-dn.net/?f=x%20%3D%20152%2F8)
![x = 19](https://tex.z-dn.net/?f=x%20%3D%2019)