Question

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

Triangle ABC is a right triangle with measure of angle ACB equal to 90 degrees. The measure of side CB is 8 and AB is 3 multiplied by x minus 1. D is a point on the left of C on BC extended. A point E is labeled on AB such that DE is perpendicular to AB. Measure of EB is 12 and DB is 4 multiplied by x plus 2

If △ABC ~ △DBE, the value of x is _________

Answer 1

@timo86m

Answer 2

set up a ratio :)

Answer 3

i tried that! but I'm not sure if I'm on the right path :/

Answer 4

i did 12/3x-1= 8/4x+2

Answer 5

and ;)there is another

Answer 6

8/12

Answer 7

alright. I'm lost :(

Answer 8

8/12=(3x-1)/(4x+2)

Answer 9

small side / large size= hypotonuse of small side/ hypotonuse of large size

Answer 10

Oh! so just switch it around then solve..?

Answer 11

cross multiply :)

Answer 12

i got 2.67...?

Answer 13

lol try again :)

Answer 14

okay. so. 8x 4x+2 which is 3x+16

Answer 15

12 x 3x-1 which is 36-12

Answer 16

3x + 16 = 24

Answer 17

minus 16 on both sides

Answer 18

3x = 8

Answer 19

then the 2.67 :(

Answer 20

8/12 is 2/3
2/3 = (3*x-1)/(4*x+2)

With me so far?

Answer 21

okay. so simplify the ratio

Answer 22

Yup :)
8/12=(3x-1)/(4x+2)
2/3 = (3*x-1)/(4*x+2) cuzz 8/12 is 2/3

2=3*(3x-1)/(4x+2) multiply both sides by 3 to have 2 by itself on the lhs(left hand side)

with me stil :)

Answer 23

i got 7..?

Answer 24

Yes it was 7 LOL :)

Answer 25

WWWAAAHHHOOOOOO!

Answer 26

YYYAAAY! thank youu soo much :DD