Question

DG contains D, E, F, and G, in thy order. If DF = 12, EG = 15, and EF = 4, what is DG

Answer 1

23

Explanation:

Given line segment DEFG and lengths DF=12, EG=15, EF=4, you want the length DG.

Segment addition

The segment addition theorem tells you the whole is the sum of the parts.

DF = DE +EF

12 = DE + 4

8 = DE . . . . . . subtract 4

And ...

DG = DE +EG

DG = 8 +15 = 23

The length DG is 23 units.