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Line y = 7 is the perpendicular bisector of the segment with endpoints A(2, 10) and B(2, k) . What is the value of k?

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Medunno13idn

Answer: 14

Step-by-step explanation:

[tex]\text{The midpoint of the segment is } \left(\frac{2+2}{2}, \frac{10+k}{2} \right)=(2, 5+0.5k). \\ \\ \text{We know that the line passing through this midpoint is } y=7 \\ \\ \text{so } 0.5k=7 \longrightarrow \boxed{k=14}[/tex]

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