Question

The cities D, E, and F lie, in respective order, approximately in a straight line. The distance from city D to city E is 125 miles. The distance from city D to city F is 160 miles. Find the distance from city E to city F

Answer 1

35 miles

Explanation:

The segment addition theorem tells you ...

DE + EF = DF

125 + EF = 160

EF = 35 . . . . . . . subtract 125

The distance from E to F is about 35 miles.