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Thegeometry questionsattached are: UV = 67, x = 67, BD = 88, BC = 26 and CD = 61What is meant by line segment?In contrast to a line, which can be extended endlessly on both ends, a line segment has endpoints.An area or portion of a line with two endpoints is known as a line segment. Aline segmenthas a set length as opposed to a line. Both metric measurements, such as millimeters and centimeters, as well as conventional units, such as feet or inches, can be used to measure the length of a line segment.A line segment, in geometry, is a portion of a straight line that is constrained by two clearly defined end points and contains every point on the line that is situated in between thoseendpoints. The Euclidean distance between two line segments' ends determines the length of the segment.5.)UW = 6x - 35UW = UV + VW (total length of a line segment)UV = 19VW = 4x - 206x - 35 = 19 + 4x - 20simplifying the above equation, we get6x - 4x = 19 - 20 + 352x = 34x = 34 / 2x = 17UW = 6x - 35 = 6(17) - 35 = 676.)HJ = 7x - 27HJ = HI + IJ (total length of a line segment)Substitute the values in the above equation, we get7x - 27 = 3x - 5 + x - 1simplifying the above equation, we get7x - 3x - x = - 5 - 1 + 273x = 21x = 21 /3x = 77.)BD = 7x - 10, BC = 4x - 29 and CD = 5x - 9BD = BC + CD (total length of a line segment)7x - 10 = 4x - 29 + 5x - 9simplifying the above equation, we get7x - 4x - 5x = - 29 - 9 + 10-2x = - 28x = 14Therefore, thegeometry questionsattached are:BD = 7(14) - 10 = 88BC = 4(14) - 29 = 27CD = 5(14) - 9 = 61To learn more aboutline segmentrefer to:brainly.com/question/19054042#SPJ4...