Question

WY bisects UV at Y. If UV=x-7 and YV = 3x-29, find UV

Answer 1

3.2 units

Explanation:

Given that:

WY bisects UV at Y.

`UV=x-7` and

`YV = 3x-29`,

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
`x`:

`x-7=2 * (3x-29)\\\Rightarrow x-7=2 * 3x-2 * 29\\\Rightarrow x-7=6x-58\\\Rightarrow 6x-x=58-7\\\Rightarrow 5x=51\\\Rightarrow \bold{x =10.2 }`

Now, we are given that:

`UV=x-7`

Putting value of
`x` as solved in above step to get the value of UV:

`UV=10.2-7\\\Rightarrow \bold{UV=3.2}`

So, answer is UV = 3.2 units