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Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Four points lie on a straight line. The distances between pairs of points are, in increasing order, 2, 3, $k$ , 11, 12 and 14. What is the value of $k$ ?

(A) $9$ (B) $8$ (C) $7$ (D) $6$ (E) $5$

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