What common skin condition is characterized by flushed cheeks and visible blood vessels?

Rosacea is a common skin condition that typically presents with symptoms such as flushed cheeks and visible blood vessels, particularly across the forehead and nose. This condition often involves episodes of facial redness, which can be exacerbated by factors such as heat, spicy foods, or emotional stress.

The inflammation associated with rosacea can lead to a variety of symptoms, including pimples and sensitive skin, making it distinct from acne, which is characterized mainly by the presence of comedones and pustules. In contrast, psoriasis is marked by thick, red patches covered with silvery scales, and eczema is characterized by itchy, inflamed skin, but it does not usually present with the visible blood vessels associated with rosacea. Thus, when considering the symptoms described in the question, rosacea is the accurate condition that aligns with flushed cheeks and prominent blood vessels.