I am a fairly experienced mountain biker and I have spent countless hours in the woods with Ridgebacks. It's funny that I have never combined the two. I have lost count of the number of times I have almost run deer over while on the trails, so that would probably be my biggest concern. If you want to do it, I would have a few recommendations:
1.) Wait until your dog is at least 18 months old - preferably older, 24-30 months.
2.) Train your dog to HEEL
3.) Train your dog to RECALL
4.) Correctly E-Collar Condition your dog and then never let your dog hit the trails without the collar freshly charged, turned on, secured on the dog, and the transmitter with fresh batteries secured to your person (not the bike) and turned on. That way, if the need arises, you can reinforce your recall command with the collar if the dog gets 'selective hearing'.
5.) Put a high quality rack on your bike. Secured on the rack should be a cheap pre-paid cell phone (your regular expensive cell phone should be left in the car where it won't get smashed, as backup), a collapsible water bowl, a bottle of Tuff-Foot (or equivalent), and a small K9 first aid kit that includes EMT Gel (or equivalent) and Vet-Wrap.
Other than that, I think
your Ridgeback will make a great companion on the single track! 
Keep the rubber side down!
