Answer:
[tex]x=9[/tex]
Step-by-step explanation:
The correct question is
If Triangle ABC is congruent with triangle DEF, DE=17, EF =13, DF =9, and BC = 2x-5, then which of the following is the correct value of x?
we know that
If two triangles are congruent, then their corresponding sides and their corresponding angles, are congruent
In this problem
The corresponding sides are
AB and DE
AC and DF
BC and EF
The corresponding angles are
∠A and ∠D
∠B and ∠E
∠C and ∠F
so
AB≅DE
AC≅DF
BC≅EF
and
∠A≅∠D
∠B≅∠E
∠C≅∠F
Find the value of x
BC≅EF
substitute the given values
[tex]2x-5=13[/tex]
Solve for x
[tex]2x=13+5[/tex]
[tex]2x=18[/tex]
[tex]x=9[/tex]
