To find the length of CE, we need to clarify the relationships between the points A, B, C, and E, which seems to involve a geometric figure or a specific relation that hasn't been provided.
However, if we assume that points A, B, C, and E are collinear points and that CE is a segment connecting points C and E, we can derive CE using the segments AB and BC.
Given:
- AB = 9 units
- BC = 12 units
Now, if we calculate the total length AC (which is the sum of AB and BC):
\( AC = AB + BC = 9 + 12 = 21 \) units.
We would need more information to specifically determine the length of segment CE. If we assume that E is a point extending from C, we might draw a conclusion based on the choices provided, suggesting that the length of CE might be 21 units.
Without specific relationships or additional rules, it's hard to make an exact determination regarding CE, so based on the above and provided options, if E is located such that \(CE\) must fulfill certain collinear conditions or other criteria, the logical assumption is \(CE = 21\) units.
Hence, given the options, 21 units is a plausible answer considering the provided lengths and relationships.