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 _________

- anonymous

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- anonymous

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- anonymous

@timo86m

- anonymous

set up a ratio :)

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- anonymous

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

- anonymous

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

- anonymous

and ;)there is another

- anonymous

8/12

- anonymous

alright. I'm lost :(

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

cross multiply :)

- anonymous

i got 2.67...?

- anonymous

lol try again :)

- anonymous

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

- anonymous

12 x 3x-1 which is 36-12

- anonymous

3x + 16 = 24

- anonymous

minus 16 on both sides

- anonymous

3x = 8

- anonymous

then the 2.67 :(

- anonymous

8/12 is 2/3
2/3 = (3*x-1)/(4*x+2)
With me so far?

- anonymous

okay. so simplify the ratio

- anonymous

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 :)

- anonymous

i got 7..?

- anonymous

Yes it was 7 LOL :)

- anonymous

WWWAAAHHHOOOOOO!

- anonymous

YYYAAAY! thank youu soo much :DD

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