I've attached a picture of these evil tree-like weeds that are growing EVERYWHERE in my lawn, garden, and section of vines. In the picture, my vines are nice and smooth edged and waxy, the evil tree weeds have serrated edges and are impossible to pull out.

What are these things?? How do I stop them? In the vines, they are choking out the vines themselves and they are now all over my yard. Help!