Question

PLZ HELP ASAP LAST ONE ANGLE BISECTOR THEOREM

Answer 1

We have from the angle bisector theorem that the sides AC and CD are proportional to AB and BD. Hence, we get the following equality that holds in general when the angles BAD and CAD are equal.
$\frac{CD}{AC} = \frac{BD}{AB}$
Substituting:

$\frac{2}{5.9} = \frac{2.8}{x} \\ x= \frac{5.9*2.8}{2}=8.26=8.3$