I have been losing a lot of weight. and i'm dizzy and lightheaded. i am always cold, even when it's warm in my house. does that mean i'm anoxeric?

Not necessarily: Anorexia is an eating disorder characterized by immoderate food restriction and irrational fear of gaining weight, as well as a distorted body self-perception, and needs to be properly diagnosed and treated by a health care provider (psychiatrist). Your symptoms may point to thyroid issues or other causes, but best to get proper eval by a doctor. Good luck to you.