Geometry problem! Please Please Please help!!

Question

The question and picture for my problem are in the link. Please help!!

https://docs.google.com/document/d/1Aimw-q1YOsUCT4hQSZpnyTXErm00vkQA2nrnvMJhG-U/edit?usp=sharing

Answer 1

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Statement Reason

AB = 7X + 1 Given

BC 4X Given

AC = 111 Given

AB + BC = AC SEGMENT ADDITION POSTULATE

7X + 1 + 4X = 111 SUBSTITUTION PROPERTY 

7X + 4X + 1 = 111 COMMUTATIVE PROPERTY (Switch the operands in addition)

11X + 1 = 111 SIMPLIFICATION PROPERTY (Collect like terms)

11X = 110 SUBTRACTION PROPERTY (Subtract 1 from both sides)

X = 10 DIVISION PROPERTY (Divide both sides by 10)