Question #136665

Point D is on line segment \overline{CE}

CE


. Given CE=18

CE=18 and CD=12,

CD=12, determine the length \overline{DE}.

DE


.



1
Expert's answer
2020-10-04T18:52:28-0400

Here is the Sketch



CD+DE=CE\overline{CD} + \overline{DE} = \overline{CE} (segment addition postulate)


But,


CD=12CD = 12 And

CE=18CE =18


12+DE=18\therefore 12 +DE = 18 (plugging in known values)


DE=1812DE = 18 - 12


DE=6\overline{DE} = 6 (final answer)


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