Mathematics: Point w is on line segment VX. Given vx=4x, vw=3x and wx=5 determine the numerical length of vx

The sequence is a function because each rule produces one output for each input....

Point w is on line segment VX. Given vx=4x, vw=3x

msladestiny16

31.01.2022

Numerical length of VX = 20

Step-by-step explanation:

Given that VX is a line segment which has a point W on it.

Kindly refer to the attached diagram for the given points.

We are also given the following dimensions:

$VX=4x\\VW=3x\ and \\WX=5$

To find:

Numerical length of VX = ?

Solution:

As we can clearly see from the attached diagram:

VX = VW + WX

Putting the given values:

4x=3x+5

Now, let us solve for and then will put the value of back to find the numerical value of VX.

$\Rightarrow 4x-3x=5\\\Rightarrow x =5$

Now,

$VX = 4 \times x = 4\times 5 =\bold{20}$

Therefore, numerical value of VX is 20.

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