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Amiraneli [1.4K]
3 years ago
5

Plssssss helpp :'Dd If JL = 5x + 1 and MK = 8x - 32, find JL and NK. JL = NK =

Mathematics
2 answers:
marysya [2.9K]3 years ago
5 0

Answer:

  • 56 units, 28 units

Step-by-step explanation:

<u>Rectangle has equal diagonals:</u>

  • JL = MK

<u>Substitute and solve for x:</u>

  • 5x + 1 = 8x - 32
  • 8x - 5x = 1 + 32
  • 3x = 33
  • x = 11

<u>Find the length of the diagonals:</u>

  • JL = MK = 5*11 + 1 = 56 units

<u>Diagonals of the rectangle bisect each other:</u>

  • KN = MK / 2 = 56/2 = 28 units
Liono4ka [1.6K]3 years ago
4 0

Diagonals of rectangle are equal

\\ \tt\Rrightarrow 5x+1=8x-32

\\ \tt\Rrightarrow 1+32=8x-5x

\\ \tt\Rrightarrow 33=3x

\\ \tt\Rrightarrow x=11

  • JL=5(11)+1=56
  • NK=JL/2=28
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