Question

Math question please help

Answer 1

Hello!

`\large\boxed{x = 4.5}`

To solve, we can use proportions:

Since the triangles are similar, their side lengths will be proportional to each other. We can set up a proportion to solve for the missing side length. Remember to use corresponding sides:

CA ~ FD and AB ~ DE

Therefore:

`(6)/(16) = (x)/(12)`

Cross multiply to solve for x:

6 · 12 = 16 · x

72 = 16x

Divide both sides by 16:

72/ 16 = 16x / 16

x = 4.5