PROBLEM SOLVING If $\triangle A B C \cong \triangle D E F, D E=17, E F=13, D F=9$, and $B C=2 x-5$, then which of the following is the correct. value of $x$ ? (1) 5 (3) 9 (2) 7 (4) 11

Step 1 ：The problem states that triangle ABC is congruent to triangle DEF. This means that the corresponding sides of the two triangles are equal in length.

Step 2 ：Therefore, we can set up the equation BC = DE, since BC and DE are corresponding sides in the two triangles.

Step 3 ：Given that DE = 17 and BC = 2x - 5, we can solve for x.

Step 4 ：Setting up the equation, we get \(2x - 5 = 17\).

Step 5 ：Solving for x, we get \(x = 11\).

Step 6 ：Final Answer: The correct value of x is \(\boxed{11}\).