The value of 'x' that would make Line segment T V is parallel to Line segment Q S is 10. Option C
<h3>How to determine the value</h3>It is important to note that for line TV to be parallel to line QS, the sides of the triangle must be divided equally.
Thus, we have
RT/TQ = RV/VS
RT = x + 10
TQ = x - 3
RV = x + 10
VS = x
Substitute the value
Cross multiply
(x+ 4) × x = (x + 10) × (x-3)
x² + 4x = x² -3x + 10x -30
Divide through by x²
4x = -3x + 10x - 30
Collect like terms
4x + 3x - 10x = - 30
-3x = -30
x = -30/ -3
x = 10
Thus, the value of 'x' that would make Line segment T V is parallel to Line segment Q S is 10 Option C
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