{"status": "success", "data": {"description_md": "As shown below, convex pentagon $ABCDE$ has sides $AB=3$, $BC=4$, $CD=6$, $DE=3$, and $EA=7$. The pentagon is originally positioned in the plane with vertex $A$ at the origin and vertex $B$ on the positive $x$-axis. The pentagon is then rolled clockwise to the right along the $x$-axis. Which side will touch the point $x=2009$ on the $x$-axis? \n\n
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\n\n$\\text{(A) } \\overline{AB}\n\\qquad\n\\text{(B) } \\overline{BC}\n\\qquad\n\\text{(C) } \\overline{CD}\n\\qquad\n\\text{(D) } \\overline{DE}\n\\qquad\n\\text{(E) } \\overline{EA}$", "description_html": "

As shown below, convex pentagon ABCDE has sides AB=3 , BC=4 , CD=6 , DE=3 , and EA=7 . The pentagon is originally positioned in the plane with vertex A at the origin and vertex B on the positive x -axis. The pentagon is then rolled clockwise to the right along the x -axis. Which side will touch the point x=2009 on the x -axis?

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\\text{(A) } \\overline{AB}\n\\qquad\n\\text{(B) } \\overline{BC}\n\\qquad\n\\text{(C) } \\overline{CD}\n\\qquad\n\\text{(D) } \\overline{DE}\n\\qquad\n\\text{(E) } \\overline{EA}

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Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2009 AMC 10B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10B_p14", "prev": "/problem/09_amc10B_p12"}}