Question

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

Answer 1

Numerical length of VX = 20

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
`x` and then will put the value of
`x` back to find the numerical value of VX.

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

Now,

`VX = 4 * x = 4* 5 =\bold{20}`

Therefore, numerical value of VX is 20.