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If K is the midpoint of segment JL, JK = 8x + 11 and KL = 14x - 1, find JK.

Sagot :

sqdancefan

Answer:

  27 units

Step-by-step explanation:

A midpoint divides a line segment into two congruent parts. K being the midpoint of segment JL means ...

  JK = KL

  8x +11 = 14x -1 . . . . . substitute given expressions

  12 = 6x . . . . . . . . add 1 -8x

  2 = x . . . . . . . . divide by 6

Then the length of JK is ...

  8x +11 = 8(2) +11 = 27

JK is 27 units long.

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Additional comment

KL = JK = 27 units

JL = 2(27 units) = 54 units

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