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Mathematics

Answered

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

Answer :

MrRoyalgo MrRoyalgo

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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