I'm brain feels squishy.​

x = 9 (it is seriously not drawn to scale)

Step-by-step explanation:

BC = DC^2 + BD^2 (Pythagorean theorem)

BC = 4^2 + 6^2

BC = 16 + 36

BC = 52^2

BC = 2sqrt13

BC/AB = DC/BD

(2sqrt13)/AB = 4/6

6(2sqrt13) = 4(AB)

12sqrt13 = 4AB

3sqrt13 = AB

AC^2 = AB^2 + BC^2 (Pythagorean Theorem)

AC^2 = (3sqrt13)^2 + (2sqrt13)^2

AC^2 = 117 + 52

AC^2 = 169

AC = 13  

AD + DC = AC

AD + 4= 13

AD = 9