We use the properties of equality to rewrite equations and solve equations for a variable. These properties allow us to maintain a balance between the two sides of the equation. Why is it important to keep the two sides of an equation balanced when solving? What other properties do we use to rewrite expressions and equations? Please answer, I need this.

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step-by-step explanation:

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step-by-step explanation:

umm. i dont know

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.  

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.