Final answer:
The information provided in the question is insufficient to solve for the measures of line segments (UP) and (LM) due to a lack of context or additional information regarding the value of 'x' or the relationship between (UP) and (LM).
Step-by-step explanation:
The question seems to pertain to a physics or mathematics (geometry) issue about determining the lengths of line segments given algebraic expressions that define those lengths, however, the additional information provided in the question is not related or relevant to the question at hand.
To find the measures of segments (UP) and (LM), one would typically need additional information about the value of 'x' or a relationship between (UP) and (LM) that would allow the solver to find 'x' and then potentially determine the lengths of those segments.
Without such information, or without a clear context as to whether these line segments pertain to geometry or even a physics problem (which might involve total displacement or distance), it is not possible to provide an accurate answer to the question as stated. For a typical algebraic or geometric problem, if one could solve for 'x', they would then substitute that value back into the given expressions to find the measure of segments (UP) and (LM).