Question

What is the value of x?

Answer 1

Answer : The value of x is 5.

Step-by-step explanation :

According to the angle bisector theorem, an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

That means,

`(AB)/(BD)=(AC)/(CD)`

`(9)/(2x-1)=(15)/(3x)`

By the cross multiplication, we get:

`9* 3x=(2x-1)* 15`

`27x=30x-15`

`30x-27x=15`

`3x=15`

`x=(15)/(3)`

`x=5`

Therefore, the value of x is 5.