Question

5.1 assignment
7 of 22
possible points: 0.45
perpendicular bisectors use the diagram below. \overleftrightarrow{jn} is the perpendicular bisector of \overline{mk}.
find nm.
(diagram with triangle and expressions: 5y + 8, 7y - 5, 35, 7y + 1, 9y - 13)
nm = \boxed{} units

Explanation:

Step1: Use the property of perpendicular bisector

Since \( \overleftrightarrow{JN} \) is the perpendicular bisector of \( \overline{MK} \), by the perpendicular bisector theorem, \( JM = JK \). So, \( 5y + 8=7y - 6 \).

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Step2: Find the length of \( NM \)

Substitute \( y = 7 \) into the expression for \( NM \). \( NM=9y - 13 \).

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Answer:

\( 50 \)