Final answer:
The outer membrane of the nucleus is continuous with the rough endoplasmic reticulum (RER), which is part of the endomembrane system involved in protein synthesis and transport.
Step-by-step explanation:
The outer membrane of the nucleus is continuous with the membrane of the endoplasmic reticulum. Specifically, it is continuous with the rough endoplasmic reticulum (RER), which has ribosomes on its surface and is involved in the synthesis and transport of proteins.
The rough ER extends from the outer layer of the nuclear envelope, forming a network throughout the cell that is part of the endomembrane system. This system also includes organelles such as the Golgi apparatus, but it does not include the mitochondria, peroxisomes, or chloroplasts.