a. The first variable is x and the second variable is y.
b. The equations are 
and 
Step-by-step explanation:
Step 1:
The first step is to define the variables. The variables can be any two symbols, letters, characters, etc.
Here let the first variable be x and the let the second variable be y.
So the variables are defined as x and y.
Step 2:
The sum of the given variables is 12.
The first variable + the second variable = 12,
The difference between the two variables is 4.
The first variable - the second variable = 4.
Step 3:
If we add both the equations we get, 
and 
x = 8 and y = 4.
So I believe that the position the triangle is sitting in is the original position that the question started with correct? (Wasn't sure if you moved it before the screenshot or not)
So for all three points of the triangle, move each of them 6 units to the left since the rule has (x-6). If it was x+6, it should be 6 units to the right then.
After you move it 6 units to the left, move the points (all three) 4 units down since (y-4) means moving in the y-direction downward!
That should be the new place for the triangle to be positioned.
Hope this helps!
The outlier is a because it is the most different value compared to the rest.
Step-by-step explanation:
Perimeter = 2 * (Side A + Side B)
= 2 * (3x + 2 + x - 5)
= 2 * (4x - 3)
= 8x - 6.
We have 8x - 6 = 50, so 8x = 56 and x = 7.
Length of rectangle = 3(7) + 2 = 23.
Width of rectangle = (7) - 5 = 2.
<span>Answer: Skewed to right with mean 0 and S.D. 1
Explanation: Let's assume the z-scores as a linear transformation.
then z=(x-mean)/S.D. = (x-30)/15
z(mean) = (30-30)/15= 0
z(sigma) = 15/15 = 1
Note: Shape does not change.</span>
