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

Answer

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Answer

Final Answer: The correct value of x is $\boxed{11}$.

Steps

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 $\boxed{11}$.

PROBLEM SOLVINGIf $\triangle A B C \cong \triangle D E F, D E=17, E F=13, D F=9$, 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

Answer

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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