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22-07-2020
Mathematics

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KN is perpendicular bisector of MQ identify the value of x

KN is perpendicular bisector of MQ identify the value of x class=

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22-07-2020

Answer:

x = 6

Step-by-step explanation:

Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:

5x - 3 = 3x + 9

2x = 12

x = 6

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