Segment bc is parallel to De. Use the proportion from a B to BD to find the missing length of CE

Answer:
CE = 6
Step-by-step explanation:
we use the proportion relationship:
[tex]\frac{AB}{BD} = \frac{AC}{CE\\}\\then[/tex]
[tex]\frac{2}{3} = \frac{4}{CE}\\\\then[/tex]
2×CE = 3 ×4 (cross multiply)
then
2×CE = 12
then
CE = 12/2 = 6