Answer:
See below
Step-by-step explanation:
The side opposite angle E is side e (DF)
The side adjacent to angle E is side d (EF)
The hypotenuse is side f (ED)
horizontal shift: 3 units to the left
vertical shift: 4 units down
Answer:

Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (3, -7), (7, 2)
(3, -7) = (x1, y1)
(7, 2) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:

Simplify:
2 - (-7) = 2 + 7 = 9
7 - 3 = 4

The slope is
.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:



The y-intercept is
.
Now that we know the slope and the y-intercept, we can write the equation:

Answer:
50 gallons of red
30 gallons of blue
Step-by-step explanation:
5 parts of the whole must be red, 3 parts of the whole must be blue, and there are 5+3=8 parts in total.
therefore, 1 part = 80/8 = 10 gallons
red : 5 parts
5×10 = 50 gallons
blue : 3 parts
3×10 = 30 gallons