What is the value of x if a e equals x plus 2 mm, e b equals 8 mm, c e equals 3 x mm, and e d equals 4 mm? circle with center q has points a, d, b and c on the perimeter. line segment c d crosses line segment a b at point e.

  x = 4

Step-by-step explanation:

The product of the lengths of the segments of each chord is the same.

  AE·EB = CE·ED

  (x+2)(8) = (3x)(4) . . . . . substitute the given lengths

  8x +16 = 12x . . . . . . . . simplify

  16 = 4x . . . . . . . . . . . . . subtract 8x

  4 = x . . . . . . . . . . . . . . . divide by 4

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x