Final answer:
The synaptic terminal is the organelle that helps the most with transmitting signals through nerve cells.
Step-by-step explanation:
The organelle that helps the most with the process of transmitting signals through nerve cells is the synaptic terminal. The synaptic terminal is located at the end of the axon and contains vesicles filled with neurotransmitters. When an electrochemical signal reaches the synapse, the vesicles release neurotransmitters, which diffuse across the synapse and bind to receptors on the membrane of the postsynaptic cell, initiating a response.