The Wells family goes out to eat dinner every Saturday night. Last Saturday was the 100th time the family had eaten at Happy Joe's Pizza House. The owner of Happy Joe's gave the family a 20% discount for customer loyalty. The bill was $27.50 before the discount. What was their bill after the discount?

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.