William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $2000 for their reception. If the reception hall charges a $70 cleanup fee plus $30 per​ person, find the greatest number of people that they may invite and still stay within their budget.

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step-by-step explanation:

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.