By consideration of congruence and collinearity, the value of x behind the geometric system formed by two collinear linear segments is equal to 3 / 8.
What is the value of the variable behind a geometric system formed by two collinear line segments?
Two line segments are congruent when the line segments have the same length, then the following condition has to be fulfilled:
AB = BC (1)
Where AB and BC are the lengths of the line segments AB and BC.
If we know that AB = 4 · x + 1 and BC = 20 · x - 5, then we solve the equation for x is:
4 · x + 1 = 20 · x - 5
6 = 16 · x
16 · x = 6
x = 6 / 16
x = 3 / 8
Then, the value of x behind the geometric system formed by two collinear linear segments is equal to 3 / 8.
To learn more on collinear line segments: https://brainly.com/question/17719606
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