Answer:
300 miles
Step-by-step explanation:
Let
x ----> the number of miles
y ----> the total cost for rent a car
we know that
The equation of the line in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
<u><em>Prestige car rentals</em></u>
we have that
The slope is equal to 
The y-intercept is 
therefore
-----> equation A
<u><em>Gateway auto</em></u>
we have that
The slope is equal to 
The y-intercept is 
therefore
-----> equation B
For what number of miles both companies charge the same price>
Equate equation A and equation B

solve for x

Answer:
40 cm
Step-by-step explanation:
Perimeter of a square = 4a
=4 ( 10 )
=40cm
Have a nice day!
The third one is the smallest
Answer:
1. k=1, b=1
2. k=-1, b=-0.5
Step-by-step explanation:
Answer:
m<I=57
m<J=57
m<K=66
Step-by-step explanation:
All the angles in a triangle add up to 180 degrees.
m<I= 3x+18
m<K= 5x+1
m<I is congruent to m<J.
We can plug the information we already know into the equation.
3x+18+3x+18+5x+1=180
11x+37=180
Subtract 37 from both sides.
11x=143
x=13
Now, we can find out what the angles are.
m<I= 3x+18
m<I=3(13)+18
m<I=39+18
m<I=57
We know that m<I=m<J, so they are both equal to 57 degrees.
m<J=57
Now for m<K:
m<K=5x+1
m<K=5(13)+1
m<K=65+1
m<K=66
We know this is correct because 57+57+66=180.