mckenly81 mckenly81
  • 13-02-2022
  • Mathematics
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KNML is a rectangle. Find the value of x and y

KNML is a rectangle Find the value of x and y class=

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jdoe0001 jdoe0001
  • 13-02-2022

if KNML is indeed a rectangle per se, then if that's true NK = ML, or namely 3y +21 = 5y + 11.

And likewise if it's indeed true, is also true that all interior angles it has are all 90°, or namely 2x - 10 = 90.

[tex]3y+21=5y+11\implies 21=2y+11\implies 10=2y\implies \cfrac{10}{2}=y\implies \boxed{5=y} \\\\\\ 2x-10=90\implies 2x=100\implies x=\cfrac{100}{2}\implies \boxed{x=50}[/tex]

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