Final answer:
The vitamin D receptor can heterodimerize with the 9-cis-retenoic acid receptor (RXR), allowing them to regulate gene transcription.
Step-by-step explanation:
The receptor that can heterodimerize with the 9-cis-retenoic acid receptor (RXR) is the vitamin D receptor. The RXR receptor is part of the nuclear receptor superfamily, which includes the receptors for various small, hydrophobic molecules.
In this case, the RXR receptor can form a heterodimer with the vitamin D receptor, allowing them to bind to DNA regulatory elements and regulate gene transcription. The other options mentioned, such as the progesterone receptor, mineral corticoid receptor, and estrogen receptor, are not known to heterodimerize with the RXR receptor.