Applying the definition of a segment bisector, the length of CD is: 59 units.
What is a Segment Bisector?
A line segment that bisects a line segment is known as a segment bisector. It divides the line segment into two smaller segments that are equal in length to each other.
Since line k bisects BD at point C, therefore, based on the definition of a segment bisector, we have the following equation:
2(BC) = BD
BC = 9x - 13
BD = 118
Substitute the values
2(9x - 13) = 118
18x - 26 = 118
18x = 118 + 26
18x = 144
18x/18 = 144/18
x = 8
CD = BC = 9x - 13
CD = 9x - 13 = 9(8) - 13
CD = 59 units
Therefore, applying the definition of a segment bisector, the length of CD is: 59 units.
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