Thousands of used tires are illegally dumped each year in Connecticut, along with a lot of other trash that shows up on roadsides. On Monday, lawmakers in Hartford talked about ideas to address it, including one idea that would make the tire industry take on more responsibility. It would include a fee on all new tire sales that would help pay for recycling efforts. If enacted, such a law would potentially save municipalities millions of dollars annually in disposal and clean-up costs.