Answer:

Step-by-step explanation:
The sum of the measures of the interior angles of each convex n-sided polygon is always equal to

1. A pentagon is 5-sided polygon, then the sum of the measures of the interior angles of pentagon is

2. An octagon is 8-sided polygon, then the sum of the measures of the interior angles of octagon is

3. A dodecagon is 12-sided polygon, then the sum of the measures of the interior angles of dodecagon is

4. For 40-sided polygon the sum of the measures of the interior angles is

5. For 52-sided polygon the sum of the measures of the interior angles is

6. For 100-sided polygon the sum of the measures of the interior angles is

Answer:
Solution:
, 
Step-by-step explanation:
<u>System of Equations</u>
Solve the system:
x + 4y = 14
3x - 2y = 7
using the elimintation method.
To use the elimination method, we must add or subtract both equations in such a way that one of the variables goes away, and only one remains.
It requires to multiply one of them by a specific factor to match the coefficients. For example, multiply the first equation by -3:
-3x - 12y = -42
And add it to the second:
3x - 2y = 7
To result:
-14y = -35
Divide by -14:

Simplifying:

Now calculate x:



Solution:
, 
9514 1404 393
Answer:
an = 39 +4(n -1)
Step-by-step explanation:
The formula for the general term of an arithmetic sequence is ...
an = a1 +d(n -1)
Here, the sequence has first term a1 = 39 and common difference d = 43-39 = 4. So, the general term is ...
an = 39 +4(n -1)
Start by simplifying by dividing both numerator and denominator ;
21/11
=1 10/11