Answer:
10 sides.
Step-by-step explanation:
Two same interior angles + 72 degrees = 360.
Thus, the interior angle of the polygon is
.
The formula to find the interior angle of a polygon is ![\frac{180(n-2)}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B180%28n-2%29%7D%7Bn%7D)
![\frac{180(n-2)}{n} =144](https://tex.z-dn.net/?f=%5Cfrac%7B180%28n-2%29%7D%7Bn%7D%20%3D144)
Multiply both sides by n:
![\frac{180\left(n-2\right)}{n}n=144n](https://tex.z-dn.net/?f=%5Cfrac%7B180%5Cleft%28n-2%5Cright%29%7D%7Bn%7Dn%3D144n)
![180\left(n-2\right)=144n](https://tex.z-dn.net/?f=180%5Cleft%28n-2%5Cright%29%3D144n)
Expand:
![180n-360=144n](https://tex.z-dn.net/?f=180n-360%3D144n)
Add 360 to both sides:
![180n-360+360=144n+360](https://tex.z-dn.net/?f=180n-360%2B360%3D144n%2B360)
![180n=144n+360](https://tex.z-dn.net/?f=180n%3D144n%2B360)
Subtract 144n from both sides:
![180n-144n=144n+360-144n](https://tex.z-dn.net/?f=180n-144n%3D144n%2B360-144n)
![36n=360](https://tex.z-dn.net/?f=36n%3D360)
Divide both sides by 36:
![\frac{36n}{36}=\frac{360}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B36n%7D%7B36%7D%3D%5Cfrac%7B360%7D%7B36%7D)
![n=10](https://tex.z-dn.net/?f=n%3D10)
Answer:
£1000, £1400
Step-by-step explanation:
Sum the parts of the ratio 5 + 7 = 12 parts
Divide the amount by 12 to find the value of one part of the ratio.
£2400 ÷ 12 = £200, thus
5 parts = 5 × £200 = £1000
7 parts = 7 × £200 = £1400
Answer:
Step-by-step explanation:
You would do this question like this.
4 meats * 2 cheeses * x breads = 24 different kinds of sandwiches.
8x = 24
8x/8 = 24/8
x = 3
There are 3 different kinds of breads.
Answer:
Step-by-step explanation:
2 6/7 * 4/5....turn ur mixed number into an improper fraction and just multiply
20 / 7 * 4 / 5 = 80/35 which reduces to 16/7 or 2 2/7