Question

Y

The figure shows A XYZ. XW is the angle
bisector of ZYXZ.
8
6.5
W
What is W Z?
Enter
your answer in the box. Do not round
your answer.
x
Z
6
units
Basic​

Answer 1

The correct answer is indeed 3.84 units

Explanation:

I just took the test and got it correct hope this helps ☺

Answer 2

3.84 units

Explanation:

By the properties of angle bisectors, ...

WZ/ZX = WY/YX

Solving for WY, we have ...

WY = (YX)(WZ)/(ZX) = (6.5/6)(WZ)

The length YZ is ...

YZ = 8 = WY +WZ

8 = (6.5/6)(WZ) +WZ = 12.5/6(WZ) . . . . substitute for WY

WZ = 8(6/12.5) . . . . multiply by 6/12.5

WZ = 3.84