Hazel and Kate have some cupcakes each. When Hazel gives Kate 49 cupcakes, the ratio of the number of cupcakes Hazel has to the number of cupcakes Kate has is 3:4. When Hazel gives Kate 19 cupcakes, they will have an equal number of cupcakes. How many cupcakes does Hazel have at first

you need to give us more information since we can't answer

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.