Step-by-step explanation:
Point T is between Points S and U, where all 3 points are collinear.
Therefore ST + TU must be equal to SU.
(2x + 6) + 4 = 4x
2x + 10 = 4x
2x = 10
x = 5.
Hence, length of ST = 2(5) + 6 = 16.
The length of ST will be 16 units.
A line segment is basically a line with two end points.
two or more than two co-linear points is needed to form a line segment.
In the given question
Line segment is SU
Point T is in between point S and point U here all the points are co-linear
SU = ST + TU
4x = (2x + 6) + 4
4x = 2x + 10
2x = 10
x = 5
∴ The length of ST = 2x + 6 = (2×5) + 6 = 16 units
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