You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

[EX Q]: Points A, B, C, and D lie on the line in that order. If \(AB = 2BC = 3CD = k\) and \(CD = 6\), what is the distance from A to C?
(A)27 (B)33 (C)38 (D)42 (E)54
[EX A]: A

[EX Q]: The graph of \(y = x - 2\) is drawn on a set of coordinate axes. If the graph of \(y = x + 7\) is then drawn on the same axes, how does the second graph compare to the first?
(A)The second graph will be 9 units above the first. (B)The second graph will be 3 units above the first. (C)The second graph will be 5 units bellow the first. (D)The second graph will be 9 units bellow the first. (E)The second graph will have a greater slope than the first.
[EX A]: A

[EX Q]: C, D, and E are points on a line, in that order. If the length of segment CE is 30, and the length of segment CD is twice the length of DE, what is the length of segment CD?
(A)10 (B)15 (C)20 (D)25 (E)30
[EX A]:
C

