The answers to the segment addition problems are :LN = 37MN = 23EF = 58The required worksheet isattached below:A segment is simply the shortest distance between two points, For a line segment, it is the line which connectstwo points.Given that :LM = 22;MN = 15The segment LN is defined as :LN = LM + MNLN = 22 + 15LN = 372.)LN = 54LN = 54 LM = 31The line segment, LN equals :LN = LM + MN54 = 31 + MNMN = 54 - 31MN = 233.)DF = 9x - 39DE = 47EF = 3x + 10Theline segment,DFequals ;DF = DE + EF9x - 39 = 47 + (3x + 10)9x - 39 = 47 + 3x + 109x - 3x = 47 + 10 + 396x = 96x = 96 / 6x = 16Hence,EF = 3x + 10EF = 3(16) + 10EF = 48 + 10EF = 58Learn more on segment addition at :brainly.com/question/24267631...

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