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.
If the original price is $49.99 and it is 30% off. You would want to find what 70% of 49.99 is in order to find the 30% of sale price. So once you do that you will find out that the answer is $34.99
Let me know if this helps! Good luck!
-48xyz + 40xyz = -8xyz
-24xy - 8xyz = -8xy (3 + z)
so the answer is 2xy
Perimeter (P) = 2L + 2w
64 = 2L + 2w
64 - 2L = 2w
32 - L = w
Area (A) = L x w
= L x (32 - L)
= 32L - L²
To find maximum area, calculate the derivative and set it equal to zero.
A' = 32 - 2L
0 = 32 - 2L
2L = 32
L = 16
Substitute L to solve for y: 32 - L = w → 32 - 16 = w → 16 = w
The maximum area will be 16 ft x 16 ft = 256 ft²
Answer:
x=4
Step-by-step explanation: