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 _________

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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 _________

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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set up a ratio :)

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i tried that! but I'm not sure if I'm on the right path :/
i did 12/3x-1= 8/4x+2
and ;)there is another
8/12
alright. I'm lost :(
8/12=(3x-1)/(4x+2)
small side / large size= hypotonuse of small side/ hypotonuse of large size
Oh! so just switch it around then solve..?
cross multiply :)
i got 2.67...?
lol try again :)
okay. so. 8x 4x+2 which is 3x+16
12 x 3x-1 which is 36-12
3x + 16 = 24
minus 16 on both sides
3x = 8
then the 2.67 :(
8/12 is 2/3 2/3 = (3*x-1)/(4*x+2) With me so far?
okay. so simplify the ratio
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 :)
i got 7..?
Yes it was 7 LOL :)
WWWAAAHHHOOOOOO!
YYYAAAY! thank youu soo much :DD

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