First, let's convert the givens to decimals to make calculations easier:
2 (3/4) = 2.75
9(5/8) = 9.625
We are given that:
Josie can hike 2.75 miles in one hour.
To know the time that Josie would take to hike 9.625 miles, we will simply do cross multiplication as follows:
2.75 miles ..........> 1 hour
9.625 miles .............> ?? hours
Time = (9.625*1) / (2.75) = 3.5 hours
Answer:
- x = 37
- DG = 22
- AG = 44
- AD = 66
Step-by-step explanation:
We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...
(x+7) = 2(x -15)
x + 7 = 2x - 30 . . . . eliminate parentheses
37 = x . . . . . . . . . . .add 30-x
Then AG = 37+7 = 44
and DG = 37-15 = 22.
Of course, AD = AG +GD = 44 +22 = 66
