See the explanation
Explanation:
Hello! here we need to match the statements on the left-hand side to the reasons on the right-hand-side.
So this is as follows:
Statements: Reasons:
Segment Addition Postulate [tex]AB+BC=AC[/tex]
Substitute the given values [tex]5x+1+15=7x[/tex]
Simplify [tex]5x+16=7x[/tex]
Subtract 5x from both sides [tex]16=2x[/tex]
Divide both sides by 2 [tex]16/2=2x/2[/tex]
Simplify [tex]AC=7x[/tex]
Substitute 8 for x [tex]AC=7(8)[/tex]
Simplify [tex]AC=56[/tex]
So what we did here is to find the measure of segment AC by finding the x-value first. In other words, we have proven that AC = 56 by following logical arguments organized in an structured manner.
Learn more:
Two-column proof: https://brainly.com/question/13338796
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