Question

Find the value of x rounded to the nearest tenth.
A)12.0
B)15.5
C)12.5
D)8.0

Answer 1

8/10 = 10 /x

8x = 100
x = 12.5 answer

Is C

Answer 2

C) 12.5

Explanation:

We have been given an image of triangle. We are asked to find the value of x.

We will use angle bisector theorem to solve our given problem, which states that an angle bisector of a triangle divides the opposite side in two segments which are proportional to the other two sides of the triangle.

Using proportions we can set an equation to solve for x as:

`(x)/(10)=(10)/(8)`

Upon multiplying both sides of our equation by 10, we will get

`(x)/(10)*10=(10)/(8)*10`

`x=(100)/(8)`

`x=12.5`

Therefore, the value of x is 12.5 and option C is the correct choice.