9514 1404 393
Answer:
ED = 8
Step-by-step explanation:
Triangles ABE and DCE are similar, so corresponding sides have the same ratio:
DE/DC = AE/AB
(x +4)/6 = (2x +4)/9
3(x +4) = 2(2x +4) . . . . . multiply by 18
3x +12 = 4x +8 . . . . . . . eliminate parentheses
4 = x . . . . . . . . . . . . . . . subtract 3x+8
Then the length of interest is ...
ED = x+4 = 4+4
ED = 8
