Answer:
[tex]\overline{AD}\:=\:19.2[/tex]
Step-by-step explanation:
[tex]2x+5=3x-2\quad \:\rightarrow \quad \:x=7\\\\\overline{BD}\:=\:3\left(7\right)-2\:=\:19\\\\Length\:of\:\overline{AD}\:=\sqrt{19^2+2.5^2}=19.2[/tex]
