Question

Question 11

Given B is between A and C, find the value of x if AB = 46, BC = 12x, and AC = 142.
a
38
b
12
22
Od
8

Answer 1

Answer: Option (d).

Explanation:

it is given that B is between A and C.

Using segment addition property, we get

`AC=AB+BC`

The given values are AB = 46, BC = 12x, and AC = 142.

Substitute these values in the above equation.

`142=46+12x`

`142-46=12x`

`96=12x`

`(96)/(12)=x`

`8=x`

`x=8`

Therefore, the correct option is (d).