Find x to the nearest tenth

by the angle bisector theorem
[tex] \frac{17.5}{20.1} [/tex]=[tex] \frac{7.5}{x} [/tex]
17.5x = 20.1 × 7.5
17.5x = 150.75
x = 8.6cm
Answer:
The correct option is 1.
Step-by-step explanation:
If an angle bisector divides a triangle in two parts, then the line segments of that side will have the same ratio as the other sides of the triangle.
[tex]\frac{20.1}{x}=\frac{17.5}{7.5}[/tex]
[tex]20.1\times 7.5=x\times 17.5[/tex]
[tex]x=\frac{20.1\times 7.5}{17.5}[/tex]
[tex]x=8.61429[/tex]
[tex]x\approx 8.6[/tex]
Therefore option 1 is correct.