Answer:
3.2 units
Step-by-step explanation:
Given that:
WY bisects UV at Y.
[tex]UV=x-7[/tex] and
[tex]YV = 3x-29[/tex],
To find: UV = ?
Solution:
First of all, let us draw the diagram of the given dimensions and bisector line WY of UV.
As UV is bisected i.e. divided in two equal parts at Y by the line WY
Therefore, UY = YV
UV = UY+YV
OR
UV = 2 YV
Now, let us put the given values to solve for [tex]x[/tex]:
[tex]x-7=2 \times (3x-29)\\\Rightarrow x-7=2 \times 3x-2 \times 29\\\Rightarrow x-7=6x-58\\\Rightarrow 6x-x=58-7\\\Rightarrow 5x=51\\\Rightarrow \bold{x =10.2 }[/tex]
Now, we are given that:
[tex]UV=x-7[/tex]
Putting value of [tex]x[/tex] as solved in above step to get the value of UV:
[tex]UV=10.2-7\\\Rightarrow \bold{UV=3.2}[/tex]
So, answer is UV = 3.2 units
