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A map shows a main gas pipeline running straight from A(45, 60) to B(65, 40). a) How long is the section of pipeline from A to B if each unit on the map grid represents 1 km? b) A branch pipeline runs perpendicular to the main pipeline and meets it at a point halfway between A and B. Find the coordinates of this point. c) Is the point C(63, 54) on the branch pipeline? Explain your reasoning. d) What is the shortest route for connecting point C to the main pipeline? Explain

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