Medicine? The software that was developed to do image-sharpening on the Hubble pictures turned out to make MRI machines significantly more useful without requiring a change to the hardware.
Social net? NASA has produced a crazy amount of research that would be useful to disaster victims, people in shelters , and assisted living. A couple of examples from the top of my head: safe, stable, long-term storage for high-nutrition meals; long-term emotional impact of environmental factors (colors, scents, etc).
Police: Most forms of wireless communication (including police radios) use SOMETHING that was developed by NASA -- extended-life batteries, transmission protocols, etc.
Even leaving aside the benefits to be head, "$10 billion for NASA" is NOT real money. It's an unnoticeable fraction of the waste in our budgets.