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Given Segment AC with point B contained on the segment, as shown below.


Write a complete two-column proof for following information:

Given: Segment AB = x + 16, Segment BC = 4x + 11

Segment AC = 77

Prove: AB = 26

Sagot :

MrRoyal

It is true that the line segment AB equals 26

How to prove that line segment AB = 26?

The given parameters are:

AB = x +16

BC = 4x + 11

AC = 77

The two-column proof is as follows:

AC = AB + BC                     Line segment formula

77 = x + 16 + 4x + 11            Substitution property of equation

77 = 5x + 27                        Addition property of equation

5x = 50                               Subtraction property of equation  

x = 10                                    Division property of equation

AB = 10 +16                          Substitution property of equation

AB = 26

Hence, the line segment AB has been proved to equal 26

Read more about line segments at:

https://brainly.com/question/2437195

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