Answer:
x = 15
Step-by-step explanation:
SV = ST + TU + UV , substitute values
4x - 29 = 13 + 6 + 2x - 18 , that is
4x - 29 = 2x + 1 ( subtract 2x from both sides )
2x - 29 = 1 ( add 29 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
The points S, T, U, and V are collinear points. Then the value of the variable x will be 15.
If the points are in a line, then the points are collinear points.
Let A, B, C, and D are collinear point. Then the condition of the collinear will be
AB + BC + CD = AD
The line segment SV is given.
And the point T and U lies on the line segment SV.
The length of ST is 13, the length of TU is 6, the length of UV is 2x - 18, and the length of SV is 4x - 29.
It is clear that the points S, T, U, and V are collinear points.
ST + TU + UV = SV
13 + 6 + 2x - 18 = 4x - 29
2x + 1 = 4x - 29
2x = 30
x = 15
The value of the variable x will be 15.
More about the collinear points link is given below.
https://brainly.com/question/1593959
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