Answer:
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The answer is 35 7/8. We know that to get the mean, you must add up all the numbers and divide by the amount of numbers. Set up the equation (36 3/4 +36 3/8+37 1/2+n)/4 = 36 5/8. After you solve for n, the missing number, you should get 35 7/8.
Well, we know 1 yard is 3 feet, so 2 yards is 6 feet. That makes Jorge's sleeping bag longer than Jim's. (6 feet is longer than 5 feet)
We also know that 1 yard is 36 inches, so 2 yards is 72 inches. That makes Jorge's sleeping bag longer than Steven's. (72 inches is longer than 68 inches)
Since Jorge's sleeping bag is longer than both Jim's and Steven's, Jorge's sleeping bag is longer.
Check the picture below.
notice that the triangle ADH, since the segment AL is an angle bisector, meaning it cuts the angle A in two equal halves, then the triangle ADH is only using half of A.
To solve this you need to know Pythagorean theorem.
First, EG is 24, so the halfway points are 12. Knowing Pythagorean triples, you can use 5,12,13 and 12,16,20.
DF = 5+16
DF = 21
If you don't know Pythagorean triples, I have worked it out on the image attached.