Question

Segment BD bisects ABC. Solve for x. Round to the nearest tenth, if
necessary.

Answer 1

x ≈ 10.4

Explanation:

BD is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is

`(AD)/(CD)` =
`(AB)/(BC)` ( substitute values )

`(x)/(11)` =
`(18)/(19)` ( cross- multiply )

19x = 11 × 18 = 198 ( divide both sides by 19 )

x ≈ 10.4 ( to the nearest tenth )