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
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