Question

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

Answer 1

Answer:

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

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

Now,

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

Therefore, numerical value of VX is 20.