Answer:
540°
Step-by-step explanation:
The sum of interior angles in a polygon is equal to 180(x-2) where x is the number of sides. Since there are 5 sides, 180(5-2)=540°.
Answer:

» Collect like terms, r terms on the left hand side by subtracting r from both sides and adding st to both sides

» On the left hand side, factorise out r

<h3>Answer:</h3>
x/tan(x) is an even function
sec(x)/x is an odd function
<h3>Explanation:</h3>
<em>x/tan(x)</em>
For f(x) = x/tan(x), consider f(-x).
... f(-x) = -x/tan(-x)
Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...
... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)
The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.
_____
<em>sec(x)/x</em>
For g(x) = sec(x)/x, consider g(-x).
... g(-x) = sec(-x)/(-x)
Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...
... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)
The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.
<h2>Steps</h2>
- Standard Form Equation: f(x) = ax² + bx + c
So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):

Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):

Next, plug (2,15) into the standard form equation and simplify:

Now, with our last two simplified equations we will create a system of equations:

Now, I will be using the elimination method with this system. With the system, add up the equations together and you will get:

From here, we can solve for the a variable. With it, just divide both sides by 3:

Now that we know the value of a, plug it into either equation to solve for the b variable:

<h2>Answer</h2>
Putting all of our obtained values together, your final answer is:
