Question

1. If AABC SADEF, DE=17, EF =13, DF =9, and BC = 2x-5, then which of the following is the correct

Answer 1

Answer:

$x=9$

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

$2x-5=13$

Solve for x

$2x=13+5$

$2x=18$

$x=9$