Final answer:
The length of SU is 5x + 4.
Step-by-step explanation:
Given that T, R, and V are the midpoints of the sides SQU, we can use the midpoint formula to find the lengths of TR and SU.
The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are: ( (x1 + x2)/2 , (y1 + y2)/2 ).
Using this formula, we can find the lengths of TR and SU by substituting the given expressions for TR and SU into the formula:
TR = 4x - 1 , SU = 5x + 4
Therefore, the length of SU is 5x + 4.