Final answer:
The small intestine and the liver are the organs that allow nutrients to be absorbed. The small intestine has structures called villi and microvilli that increase its surface area for efficient absorption of nutrients.
Step-by-step explanation:
The organs that allow nutrients to be absorbed are the small intestine and the liver. The small intestine is a long tube-like organ with a highly folded surface containing finger-like projections called villi and microvilli. These structures increase the surface area of the intestine, allowing for efficient absorption of nutrients from digested food. Absorbed nutrients in the blood are then carried to the liver, where they are regulated and distributed to the rest of the body.