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mihalych1998 [28]
2 years ago
11

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

Mathematics
1 answer:
gayaneshka [121]2 years ago
3 0

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

<em>UV = 2 YV</em>

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 <em>UV = 3.2 units</em>

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