instruction:
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.
question:
If the lengths of two sides of a triangle are 9 and 15, which of the following CANNOT be the length of the third side?
(A)5 (B)9 (C)10 (D)15 (E)20
answer:
A


question:
A square and an equilateral triangle each have sides of length 5. What is the ratio of the area of the square to the area of the triangle?
(A)\(\frac { 4 } { 3 } \) (B)\(\frac { 16 } { 9 } \) (C)\(\frac { \sqrt { 3 } } { 4 } \) (D)\(\frac { 4\sqrt { 3 } } { 3 } \) (E)\(\frac { 16\sqrt { 3 } } { 9 } \)
answer:
D


question:
\begin{gather} nA = 360 \end{gather} The measure A, in degrees, of an exterior angle of a regular polygon is related to the number of sides, n, of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than 50 degrees, what is the greatest number of sides it can have?
(A)5 (B)6 (C)7 (D)8
answer:

C