Respuesta :

By using the concept of collinear line segments, the value of the variable x behind the geometric system is equal to 0.

How to determine the value behind a geometric system formed by two collinear line segments

In this problem we have a geometric system formed by two collinear line segments, whose formula is defined below:

BC = BZ + ZC           (1)

Where:

  • BZ - Length of the line segment BZ.
  • ZC - Length of the line segment ZC.
  • BC - Length of the line segment BC.

If we know that BZ = 9 · x, ZC = 2 · x + 3 and BC = x + 3, then the value for x is:

9 · x + (2 · x + 3) = x + 3

11 · x + 3 = x + 3

x = 0

Then, the value of the variable x behind the geometric system of the two collinear line segments is equal to 0.

Remark

The statement present a typing mistake, correct form is shown below:

Point Z is on segment BC. BC = x + 3, ZC = 2 · x + 3, BC = 9 · x solve for x.

To learn more on line segments: https://brainly.com/question/15239648

#SPJ1