The polygons above are similar. Write a similarity statement and solve for x. The images are not drawn to scale.

• MsEHolt: The correct answer is D) ABCD ~ NMLK, and x=7.
  
  Based on the way the polygons are marked, A corresponds with N, B corresponds with M, C corresponds with L and D corresponds with K. Using this, we set up a proportion:
  
  12/8 = (5x+1)/(5x-11)
  
  Cross multiplying, we have:
  12(5x-11) = 8(5x+1)
  
  Using the distributive property, 
  12*5x - 12*11 = 8*5x + 8*1
  60x - 132 = 40x + 8
  
  Subtract 40x from both sides:
  60x - 132 - 40x = 40x + 8 - 40x
  20x - 132 = 8
  
  Add 132 to both sides:
  20x - 132 + 132 = 8+132
  20x = 140
  
  Divide both sides by 20:
  20x/20 = 140/20
  x = 7