Question

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

Answer 1

Answer:

3.2 units

Step-by-step 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 $x$:

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

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