Question

In the figure, △ABC ~ △DEF, ∡ABG ≅∡GBC, and ∡DEH ≅∡HEF. Solve for x

(Will post image below)

A. x = 56 1/3
B. x = 34 2/3
C. x = 25 2/3
D. x = 7/18

I think the right answer is C, is that correct?

Answer 1

wanna try it 1st

Answer 2

sure, but I might be a little slow, I have a lesson going on and I got stuck on this one question, but sure I would like to try it out

Answer 3

take as much time as you want, you do will make you learn

Answer 4

okay, I can get the equation down to this:
HE/GB = EF/BC
16/26 (simplified) is 8/13 = (x+9)/(2x+5)

Answer 5

but this is where I start to get stuck

Answer 6

I know you cross multiply from there

Answer 7

\[\frac{ 8 }{ 13 } = \frac{ x+9 }{ 2x+5 }\]
do you know how to cross multiply

Answer 8

okay, from there I get 8*2x+5 = 16x+5 = 3.2
13*x+9 = 13x+9 = 1.4

Answer 9

remember
8*(2x+5)

Answer 10

ohh, right so it would be 16x+40 and 13x+117

Answer 11

16x+40 = 13x +117 correct
now?

Answer 12

16x+40
16x/16+40/16
x=2.5?

13x+117
13x/13+117/13
x = 9?

Answer 13

no you get one value of x

Answer 14

16x+40 = 13x +117
-40 -40

16x = 13x + 77
now?

Answer 15

this is where im confused

Answer 16

its the same as numbers
16x = 13x + 77
-13x -13x

what do you get?

Answer 17

16x = 13x + 77
-13x -13x

3x + 77
3x/3 + 77/3
I get 25.66

Answer 18

why the + sign?

Answer 19

no, sorry meant to be equal

Answer 20

lol sorry :P

Answer 21

*3x = 77
3x/3 = 77/3
I get 25.66

Answer 22

wait you wanted it as a fraction
C. x = 25 2/3

Answer 23

how did you know it was C if you didnt do the problem :P

Answer 24

yeah, that was the answer I got, but I wasn't sure if I didn't it right! Thanks so much for helping me break that down! :)

Answer 25

any time

Answer 26

did it*