Find the value of x, rounded to the nearest tenth.

Answer:x = 5.3 unitsStep-by-step explanation:The given triangle has adjacent sides as 6 and 9 units. It has an angle bisector, which divides the angle between the adjacent sides, and opposite side in lengths x and 8 units.An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.This means, [tex]\frac{6}{9} = \frac{x}{8}[/tex][tex]x = (\frac{6}{9})(8) = \frac{48}{9} = 5.33 units[/tex]Thus, the value of x is 5.3  units.