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Question:The figure of question is attached belowAnswer:The length of segment BC is 144 unitsSolution:The figure of question is attached belowFrom given figure,Line BC = Line CD + Line DBGiven that,CD = 3x + 8DB = 4x + 10BC = 8xTherefore, length of segment BC is :8x = 3x + 8 + 4x + 108x = 7x + 18x = 18Therefore,BC = 8xBC = 8(18)BC = 144Thus length of segment BC is 144 units...