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17-12-2020
Mathematics

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Solve for x and find NM

Solve for x and find NM class=

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jimrgrant1 jimrgrant1

17-12-2020

Answer:

x = 9, NM = 41

Step-by-step explanation:

Since KL = ML then the triangle is isosceles and LN is a perpendicular bisector, thus

NM = NK , substitute values

7x - 22 = 3x + 14 ( subtract 3x from both sides )

4x - 22 = 14 ( add 22 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Thus

NM = 7x - 22 = 7(9) - 22 = 63 - 22 = 41

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