alexaq
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*HELP PLEASE WILL THANK AND AWARD BRAINLIEST ANSWER*
Given figure ABCD ~ figure KLMN, what is the value of y?  
 

A.
1.2 cm
  
B.
3.6 cm
 
C.
4 cm
 
D.
12 cm

HELP PLEASE WILL THANK AND AWARD BRAINLIEST ANSWERGiven figure ABCD figure KLMN what is the value of y A12 cm B36 cm C4 cm D12 cm class=

Respuesta :

big trapezoid: upper base = 4 cm ; lower base = 12cm ; side = 10cm
small trapezoid: upper base = y ; lower base = ? ; side = 3cm

Figure ABCD is contracted into figure KLMN, this means that they have the same proportion as to the other sides of the figure.

side: 10 cm / 3cm = 3.33
upper base: 4cm / 3.33 = 1.20  value of y.
lower base: 12cm / 3.33 = 3.60

4/10 = 0.40 ; 1.20/3 = 0.40
4/12 = 0.33 ; 1.20/3.6 = 0.33
10/12 = 0.83; 3/3.60 = 0.833