Atrain traveling at a constant speed takes a passenger from deer lake to liberty, stopping first at summerville and next at cypress before arring at liberty. it takes three times as long to go from deer lake to summerville as it does to go from summerville to cypress. it takes twice as long to go from cypress to liberty as it does to go from summerville to cypress. how far is the ride from deer lake to cypress if the entire trip is 360 miles? name a geometric postulate or theorem used to find the solution. a. 120 miles; segment bisector theorem b. 180 miles; segment addition postulate c. 240 miles; segment addition postulate d. 288 miles; angle addition postulate

answer: 2530

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step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is