Drag the tiles to the correct boxes to complete the pairs. luke is driving from his house to the store. after driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. so, he turns around and drives all the way back to his house at the same speed. the equation below models luke's distance, in miles, from home as he drives for t minutes. using the given equation, match the number of minutes since luke started driving from his house to his distance from the house. questions to fill in: 10.4 miles on his return trip 5.6 miles on his trip to the restaurant 9.6 miles his trip to the restaurant 7.2 miles on his return trip (answers to those questions): 12,27,31 and 7 minutes tell me which of the answers above belong to which of the questions above, ex(10.4 miles on his return trip) you : )

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step-by-step explanation:

answer:

a=9

step-by-step explanation: lmk if you need a explanation

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240