what is the subdivision of the peripheral nervous system that connects to sensory receptors and to skeletal muscles called

The somatic nervous system

Explanation:

The peripheral nervous system is categorized into two types: the autonomic and somatic nervous system.

The somatic nervous system controls the voluntary actions of the boys so is also known as the voluntary nervous system and the voluntary system involves the skeletal muscles therefore is also known as the skeletal nervous system.

The skeletal nervous system contains two types of neurons called the afferent neurons which carries the sensory input from the muscle to the CNS ans the efferent neurons which brings the impulse from the CNS to the muscles.

Thus, the somatic nervous system is the correct answer.