In the figure below, is similar to . What is the length of ? Enter only the number.

Answer 1

Since is similar to , we can write the following proportion:

$\frac{AB}{DE} = \frac{BC}{EF}$

Plugging in the given lengths, we have:

$\frac{6}{x} = \frac{8}{2}$

Cross-multiplying gives:

$8x = 12$

Dividing both sides by 8 gives:

$x = \boxed{\frac{3}{2}}$