Final answer:
The structure composed of microtubules and microfilaments that facilitates movement within the cell is the cytoskeleton.
Step-by-step explanation:
The structure composed of microtubules and microfilaments that facilitates movement within the cell is the cytoskeleton. The cytoskeleton is a network of protein fibers that provide support, shape, and movement to the cell. Microfilaments, microtubules, and intermediate filaments are the three major components of the cytoskeleton. Microtubules help the cell resist compression, serve as tracks for motor proteins that move vesicles through the cell, and pull replicated chromosomes to opposite ends of a dividing cell. They are also the structural elements of centrioles, flagella, and cilia.