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Mathematics, 27.08.2020 15:01 mitch80

Apex Grocery wants to build a warehouse that is equidistant from its three stores L, M, and N. Which construction correctly finds the best location of the warehouse? Construction X is triangle LMN with an inscribed circle. Point A is on segment LM, point D is on segment MN, and point B is on segment LN, segment AN bisects angle N, segment MN bisects angle M, the angle formed by MDL is a right angle, and point C is the intersection of segments MB, LD, and AN. Construction X Construction Y is triangle LMN within a circumscribed circle. Point A is on segment LM, point B is on segment MN, point D is on segment MB, point C is on segment LN, angle MAB is a right angle, angle NCD is a right angle, and point E is the intersection of segments AB and EC. Construction Y Construction Y because point E is the incenter of ΔLMN Construction X because point C is the incenter of ΔLMN Construction Y because point E is the circumcenter of ΔLMN Construction X because point C is the circumcenter of the ΔLMN

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