9514 1404 393
Answer:
2160°
Step-by-step explanation:
The sum of interior angles of a convex n-gon is ...
angle sum = 180(n -2)°
When n=14, the angle sum is ...
angle sum = 180(14 -2)° = 2160°
Answer:
The number is 5
Step-by-step explanation:
6+3n = 5n-4
Subtract 3n from each side
6+3n-3n = 5n-3n-4
6 = 2n-4
Add 4 to each side
6+4 = 2n-4+4
10= 2n
Divide by 2
10/2 =2n/2
5=n
Answer:
For
, the group is CLOSED as it a polynomial.
Step-by-step explanation:
Here, the given polynomials are:

Now, a group G is said to be <u>CLOSED UNDER SUBTRACTION</u> if,
a and b are he elements of G ⇒ (a-b) is ALSO AN ELEMENT of G
Now, here:

or, 
Also, R(x) is a POLYNOMIAL.
So, R(x) is an Element of group G.
So, the set G of polynomials.
Hence, for the polynomial
, it will be a polynomial the group is CLOSED.
Answer:
A and D are equal
Step-by-step explanation:
Given
![A=-2[-6, 4, 3 ,7, 12, 10]](https://tex.z-dn.net/?f=A%3D-2%5B-6%2C%204%2C%203%20%2C7%2C%2012%2C%2010%5D)
![B=3[-2, 2, 8, 8, 5, 6]](https://tex.z-dn.net/?f=B%3D3%5B-2%2C%202%2C%208%2C%208%2C%205%2C%206%5D)
![3C=3[-2, 8, 2, 5, 8, 6]](https://tex.z-dn.net/?f=3C%3D3%5B-2%2C%208%2C%202%2C%205%2C%208%2C%206%5D)
![D=-1[-12, 8, 6, 14, 24, 20].](https://tex.z-dn.net/?f=D%3D-1%5B-12%2C%208%2C%206%2C%2014%2C%2024%2C%2020%5D.)
Required
The equal matrices
First, we simplify the given expressions
![A=-2[-6, 4, 3 ,7, 12, 10]](https://tex.z-dn.net/?f=A%3D-2%5B-6%2C%204%2C%203%20%2C7%2C%2012%2C%2010%5D)
Open bracket
![A= [12, -8, -6 ,-14, -24, -20]](https://tex.z-dn.net/?f=A%3D%20%5B12%2C%20-8%2C%20-6%20%2C-14%2C%20-24%2C%20-20%5D)
Next:
![B=3[-2, 2, 8, 8, 5, 6]](https://tex.z-dn.net/?f=B%3D3%5B-2%2C%202%2C%208%2C%208%2C%205%2C%206%5D)
Open bracket
![B=[-6, 6, 24, 24, 15, 18]](https://tex.z-dn.net/?f=B%3D%5B-6%2C%206%2C%2024%2C%2024%2C%2015%2C%2018%5D)
Next:
![3C=3[-2, 8, 2, 5, 8, 6]](https://tex.z-dn.net/?f=3C%3D3%5B-2%2C%208%2C%202%2C%205%2C%208%2C%206%5D)
Divide by 3
![C=[-2, 8, 2, 5, 8, 6]](https://tex.z-dn.net/?f=C%3D%5B-2%2C%208%2C%202%2C%205%2C%208%2C%206%5D)
Lastly:
![D=-1[-12, 8, 6, 14, 24, 20].](https://tex.z-dn.net/?f=D%3D-1%5B-12%2C%208%2C%206%2C%2014%2C%2024%2C%2020%5D.)
Open bracket
![D=[12, -8, -6, -14, -24, -20].](https://tex.z-dn.net/?f=D%3D%5B12%2C%20-8%2C%20-6%2C%20-14%2C%20-24%2C%20-20%5D.)
By comparison:
![A = D=[12, -8, -6, -14, -24, -20].](https://tex.z-dn.net/?f=A%20%3D%20D%3D%5B12%2C%20-8%2C%20-6%2C%20-14%2C%20-24%2C%20-20%5D.)