Answer:
EB=3.3
Step-by-step explanation:
From the diagram, triangle ABC is similar to triangle DBE.
This means that, the corresponding sides are proportional.
It was given that AC=6, DE=4, CB=5.
We want to find EB=x
Since the ratio of corresponding sides are proportional, we have:
[tex]\frac{EB}{CB} =\frac{ED}{AC}[/tex]
We substitute to obtain:
[tex]\frac{x}{5} =\frac{4}{6}[/tex]
Multiply both sides by 5 to get:
[tex]x=\frac{4}{6}\times 5=\frac{20}{6}=\frac{10}{3}=3.3[/tex]
