Answer:
448
Step-by-step explanation:
The polygon have 59 sides.
Solution:
Sum of the measure of interior angle of the polygon = 10260°
Interior angle theorem of polygon,
<em>The sum of measure of interior angles of a polygon is (n – 2) × 180°.</em>
By this theorem,
(n – 2) × 180° = 10260°
Divide by 180° on both sides.
![$\frac{(n - 2) \times 180^\circ}{180^\circ} = \frac{10260^\circ}{180^\circ}](https://tex.z-dn.net/?f=%24%5Cfrac%7B%28n%20-%202%29%20%5Ctimes%20180%5E%5Ccirc%7D%7B180%5E%5Ccirc%7D%20%20%3D%20%5Cfrac%7B10260%5E%5Ccirc%7D%7B180%5E%5Ccirc%7D)
![n-2=57](https://tex.z-dn.net/?f=n-2%3D57)
Add 2 on both sides, we get
n – 2 + 2 = 57 + 2
n = 59
Hence the polygon have 59 sides.
Answer:
x > 9/10 is the answer to the equation.
Step-by-step explanation:
3x -2(x -1) > 11-9x
3x -2x +2 > 11-9x
x+2> 11-9x
x+9x > 11-2
10x > 9
x > 9/10