The figure below shows CB=3, BE=5,AB=4x+2, and DB=4x+4
If triangle ABC ~ triangle DBE, the value of x is

Question

The figure below shows CB=3, BE=5,AB=4x+2, and DB=4x+4 
If triangle ABC ~ triangle DBE, the value of x is

anonymous · Answer

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anonymous · Answer

I've been working at this problem for some time now and decided to get some help:)

anonymous · Answer

Im new to this so Im not sure if anyone will reply right away, but It would be great if someone could help me right now.....

directrix · Answer

If triangle ABC ~ triangle DBE, then by the definition of similar triangles, the corresponding sides are in proportion.

directrix · Answer

Because the triangle similarity statement is given, we know which vertices are corresponding.

directrix · Answer

triangle ABC ~ triangle DBE

means

AB/DB = BC/BE = AC/DE

Fill in for the measures you know and figure out which two equal ratios will form an equation you can use to solve for x.

directrix · Answer

AB/DB = BC/BE

(4x+2)/(4x+4)  =  3/5

Cross multiply and solve for x.