Dogs don't sweat. That's why they always have their tongues hanging out. That's their cooling system.
The answer is paws. That’s why they leave prints on floors in hot weather. When I’m working with them, I sometimes spray their feet with water.
They do from what I understand through paws. Its not much. Most preditors don’t sweat anymore than dogs do. It sweat produces oder which prey can smell. Merocine sweat glands