Answer:
length = 22
width = 13
Step-by-step explanation:
Perimeter of a rectangle is given by the formula
P =2(l+w)
we know the length is x
width is x-9
P =70
Substituting this into the equation
70 = 2(x+x-9)
Combining like terms
70=2(2x-9)
Distributing the 2
70 = 4x-18
Adding 18 to each side
70+18 = 4x-18+18
88 = 4x
Divide by 4
88/4 = 4x/4
22= x
we know the length is x
length = 22
width is x-9
width = 22-9= 13
Answer:
13.5
Step-by-step explanation:
(1) The train travels 4 miles per gallon.
(2) The slope of the graph is 
Explanation:
(1) The miles that train travels per gallon is given by

Dividing, we have,

Thus, the train travels 4 miles per gallon.
(2) To determine the slope, let us consider two points from the graph.
The coordinates are
and 
Thus, substituting the coordinates in the slope formula, we get,

Simplifying, we have,

Thus, the slope of the graph is 
Answer:
17
Step-by-step explanation:
These two angles add up to 180, so we can set up an equation. 5x-23+7x-1=180. Now we combine like variables, getting 12x-23-1=180. We add 23 to both sides, and get 12x-1=203. Then we add 1 to both sides, getting 12x=204. Finally we divide by 12 on both sides, with our result as x=17.
Answer:
180
Step-by-step explanation:
=216-(-83)+(-479)
=216+83-479
=299-479
=180