Final answer:
The nuclear membrane is indeed part of the endomembrane system, connected to the endoplasmic reticulum, which shows that the nucleus is an organized organelle with specific and essential functions for cell regulation.
Step-by-step explanation:
The statement, "The nuclear membrane is not considered a part of the endomembrane system as the nucleus is a separate organelle," is not a piece of evidence that the nucleus is an organized organelle. In fact, the nuclear membrane is generally considered to be a part of the endomembrane system as it is continuous with the endoplasmic reticulum. Experiments have demonstrated that different nuclear bodies have specific functions and are essential for organizing nuclear activities within the cell. Furthermore, the nucleus, being the largest organelle in a eukaryotic cell, houses the cell's DNA and directs the synthesis of ribosomes and proteins, underscoring its organized nature.
Additionally, it is worth noting that eukaryotic cells have a nucleus and other organelles, while prokaryotic cells do not have a nucleus. This distinction highlights the specialized complexity and organization found within eukaryotic cells.