Your company is building a new office space of 40,000 square feet. you are to decide if they should heat with electricity or natural gas. the hvac engineer estimates that it will require approximately 3,600,000,000 btu's to heat the building during the coldest month. electric hvac units will operate at 100% efficiency, that is 100% of the electricity will actually be converted to heat. new gas furnaces will operate at 95% efficiency, that is 95% of the gas will actually be converted to heat. the electric company charges $0.042 per kwh plus a 2% fuel recovery charge. the gas company charges $1.45 per therm plus a distribution charge of $3,000.

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.