4b + 5 = 1 + 5b

what is b?

b = 4

Step-by-step explanation:

Given

4b + 5 = 1 + 5b

Subtract 4b on both sides

4b + 5 - 4b = 1 + 5b - 4b

5 = 1 + b

Subtract 1 on both sides

5 - 1 = 1 + b - 1

Hope this helps!! :)

Please let me know if you have any questions

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.