Question

SOLVE FOR X PLEASE HELP LEAVE IN FRACTION AND DECIMAL​

Answer 1

`x = (22)/(3)`

Explanation:

Since both CB and ED intersect AD perpendicularly, we can say they are parallel and that ΔACB is similar to ΔAED from Thales intercept theorem. Now, we can set up a proportion from the definition of similar triangles:

`(AB)/(AD) = (BC)/(DE)`

We can say that AD = AB + BD(segment addition postulate) and substitute to get AD = 11. Now we can plug in the numbers we have to the proportion:

`(6)/(11) =(4)/(x)`

We can cross-multiply to get:

`6x = 44`

and divide by 6 to get

`x = (22)/(3)`