The required "option D. 9.6" is correct.
Step-by-step explanation:
In given figure,
AD = x, DB = 12, BE = 8 and EC = 10
To find, the value of x = ?
Use the Side-Splitting Theorem,
We know that,
[tex]\dfrac{AD}{DB} =\dfrac{BE}{EC}[/tex]
⇒ [tex]\dfrac{x}{12} =\dfrac{8}{10}[/tex]
⇒ x =[tex]\dfrac{8 \times 12}{10}[/tex]
⇒ x = [tex]\dfrac{96}{10}[/tex]
⇒ x = 9.6
∴ The value of x = 9.6
Thus, the required "option D. 9.6" is correct.
