Answer:
1. Rani is baking a cake.
Answer: common noun is cake while proper noun is Rani
2.Tommy is my pet dog.
Answer: common noun is dog while proper noun is Tommy
The independent clause is "WE ARE NOT EATING ON THE PATIO" the reason why, is because the second part of the sentence cannot stand on its own, due to the fact it has a because in it. because is a transition word.
