Question

Triangle ABC is congruent to triangle DEF. In triangle ABC, side AB measures 13, side BC measures x+13, and side CA measures 16. In triangle DEF, side DE measures 13, side EF measures 3x−20, and side FD measures 16. What equation would help you to solve for the side length of BC and EF? Explain your reasoning using complete sentences

Answer 1

@DangerousJesse @dan815

Answer 2

Basically I think all they want to know is what equation would help to solve BC and EF and I have to explain my reasoning

Answer 3

Triangle ABC is congruent to triangle DEF. In triangle ABC, side AB measures 13, side BC measures
x+13, and side CA measures 16. In triangle DEF, side DE measures 13, side EF measures 3x−20, and side FD measures 16. What equation would help you to solve for the side length of BC and EF? Explain your reasoning using complete sentences.

side BC measures x+13

side EF measures 3x−20

BC ≅ EF

corresponding parts of congruent triangles are congruent (CPCTC)

if you need more help than that, go to your teacher.
(Yahoo)

Answer 4

So what is the equation ? sorry im terrible with math and im doing this online and I don't understand it at all

Answer 5

Therefore, x+13 = 3x-20

x+13 = 3x-20
-13 -13

x = 3x - 33
-3x

-2x = -33

x = 16.5

(16.5)+13 = 3(16.5)-20?

29.5 = 29.5

Answer 6

is that the equation

Answer 7

AB = DE
BC = EF
AC = DF

Answer 8

so the equation is

x+13 = 3x-20

Answer 9

thank you!

Answer 10

@larryboxaplenty how would I explain my reasoning on this, I dont get this.