1) For each of these, keep in mind vertex form: f(x)=a(x-h)^2+k. With vertex form, a is the direction and width, h is the horizontal placement of the vertex, and k is the vertical placement. For the first one, notice that "a" is positive 1, so it faces up. This means that D, the one facing down, cannot be the answer. "h" is 1, so we will move the vertex to the right one unit (keep in mind (x-h), so if it were to be (h+3) you would move it to the left, not the right). "k" is -3, so we would move the vertex down 3 units. That said, the vertex should be at (1,-3) so the answer is C, or the one right below the first one.
2) The graph of f(x)=|2x| translated 5 units to the left means that h is equal to -5. When we plug -5 into vertex form, it should look like: g(x)=|2(x+5)|. The answer to this is A.
3) The equation for reflection on the x axis is f(x)=-a(x-h)+k. So, if the parent function f(x)=4|x| were to be reflected on the x axis, the function would look like this: g(x)=-4|x|. The answer to this should be B.
4) Since h=1 and k=0 in the function f(x)=-3|x-1|, the vertex will be (1,0).
5) This can also be written as g(x)=|x|-3. This means that k=-3, and will be a vertical translation of 3 units down.
The sum of the interior angles in the polygon whose side is 10 is 
<h3>What is sum of interior angle of polygon ?</h3>
The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon.
As, The formula for calculating the sum of interior angles is ( n − 2 ) ×
S0, n=10
Then, sum of interior angle be = (n-2) x 180
= (10-2) x 180
= 8 x 180

Thus, the sum of the interior angles in the polygon is 
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Answer:
80
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order. If there is no exact middle then the median is the average of the 2 values either side of the middle
Arrange the data in ascending order ( smallest to largest )
32, 77, 78, 82, 85, 87
There is no value exactly in the middle, use the average
median =
=
= 80
If we identify the lines by ...
1. y = -0.5x -3
2. y = -3.5x -15
3. y = 5x +19
4. y = 1.25x +4
Then the matches are ...
BC - 2
DE - 1
FG - none
HI - 4
JK - none
LM - 3
_____
Whenever there is a lot of repetitive math to do, I usually find it easier to let a calculator or spreadsheet do it. Here, the graphing calculator is computing the slope between the points. The slopes of parallel lines are the same.