The numerical value of TV will be 12.
What is a line segment?
A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that Point U is a line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6.
The numerical value of TV will be calculated as below:-
TV = TU + UV
3x + 6 = 5x + 2
Shift the unknowns to the left, and constants to the right.
3x - 5x = 2 - 6
-2x = -4
Divide both sides by -2.
x = 2
Substitute x = 2 into the equation for TV (3x + 6),
TV = 3x + 6
TV = 3(2) + 6
TV = 6 + 6
TV = 12
Therefore, the numerical value of TV will be 12.
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