Question

3x, and W X = 5, Point W is on line segment V X. Given V X = 4x, VW , W determine the numerical length of V X.

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.

⇒ 4x - 3x = 5

⇒x = 5

Now,

VX = 4 × x = 4× 5 = 20

Therefore, numerical value of VX is 20.