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Thelengthof thesegmentwith the variable x is as follows:EF = 9 units.How to find the mid segment of the trapezium?Atrapeziumis a quadrilateral. Themidsegmentof a trapezoid is a line that goes across from the middle of one leg to the middle of the other leg.Therefore, the side EF is the mid segment of the trapezium.Hence, let's find the variable x as follows:Therefore,EF = x - 5 + 2x - 4 / 2combine like termsEF = x + 2x - 5 -4 / 2EF = 3x - 9 / 2x = 3x - 9 / 2cross multiply2x = 3x - 92x - 3x = -9-x = -9x = 9learn more onmid segmenthere:brainly.com/question/32323460#SPJ1...