Answer:
B) y = x + 2 and y = -x - 4
Step-by-step explanation:
Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

The line with positive slope has x-intercept a=-2 and y-intercept b=2.
Its equation is:

Multiply through by 2

Solve for y,

For the line with a negative slope,
the x-intercept is a=-4 and the y-intercept is b=-4
Its equation is

Multiply through by -4

Solve for y

Answer:
∠3 = 18°
∠4 = 144°
∠2 = 36°
∠1 = 72°
Step-by-step explanation:
From the concept of alternate interior angles,
∠3 = 18°
Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.
Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;
∠4 = 180 - 2(∠3)
∠4 = 180 - 2(18)
∠4 = 180 - 36
∠4 = 144°
∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)
∠2 = 180 - 144
∠2 = 36°
Like it was done for angle ∠4 above;
∠1 = (180 - 36)/2
∠1 = 144/2
∠1 = 72°
Answer:
Assuming population data

Assuming sample data

Step-by-step explanation:
For this case we have the following data given:
736.352, 736.363, 736.375, 736.324, 736.358, and 736.383.
The first step in order to calculate the standard deviation is calculate the mean.
Assuming population data

The value for the mean would be:

And the population variance would be given by:

And we got 
And the deviation would be just the square root of the variance:

Assuming sample data

The value for the mean would be:

And the population variance would be given by:

And we got 
And the deviation would be just the square root of the variance:

Answer:
The cost of each pair of shoes before the discount=$67.65
Step-by-step explanation:
Step 1
Use the expression below to determine original cost of the 2 pairs of shoes as follows;
A=O-R
where;
A=total bill after discount
O=original cost of 2 pairs of shoe
R=discount amount
In our case;
A=$110.50
O=unknown=x
R=15% of O=(15/100)×x=0.15 x
replacing;
115=x-0.15 x
115=0.85 x
x=115/0.85
x=135.294
Original cost of the 2 pairs of shoes=$135.294
Original cost of a pair of shoes=135.294/2=$67.65
The cost of each pair of shoes before the discount=$67.65