On wednesday, mr. miles walked and ran 9/10 of the trail. then he walked 1\8 of the trail back and stopped to rest. what fraction of the course was mr. miles from the beginning of the trail when he stopped?

31/40 of the trail.

Step-by-step explanation:

At the start, he walked 9/10 of the trail.

Then, he backed 1/8 of the trail

The, the amount that he walked is:

d = 9/10 - 1/8

now, we must find a common multipler between 8 and 10, we know that 8*5 = 40 = 10*4

d = (4/4)*(9/10) - (5/5)*(1/8) = (4*9 - 5*1)/40 = (36 - 5)/40 = 31/40

So when he stops, he is at 31/40 of the trail.

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.