Question

PLEASE PLEASE HELP
The figure below shows CB = 8, BE = 12, AB = 3x – 1, and DB = 4x + 2.



If ΔABC ~ ΔDBE, the value of x is _________

Answer 1

Is one triangle inside of the other?

Answer 2

If so, which?

Answer 3

heres a picture

Answer 4

Cool. Set up a proportion, simplify and THEN cross multiply...getting...

2(4x + 2) = 3(3x - 1)

Answer 5

8x + 4 = 9x - 3

Answer 6

Therefore:
x = 7

Answer 7

That make sense?

Answer 8

how did you get 2 and 3??

Answer 9

Did you set up a proportion?

Answer 10

If so you'll get:
8/12 = (3x - 1)/(4x + 2)

8/12 simplifies to 2/3 because both can be divided by 4.

Answer 11

Once you've simplified like above, you can cross multiply.

Answer 12

That better?

Answer 13

ok Thank you soo much and yes