SugarMochi
  • SugarMochi
Someone please help me with this similarity question.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
SugarMochi
  • SugarMochi
|dw:1444461992182:dw|
SugarMochi
  • SugarMochi
The ratio of AB:BC is 1:3 The difference between AE and DE is 4 The ratio of AD to AC is 2:3 AE is 18 and BC is double AE If CD is 52, what is K
madhu.mukherjee.946
  • madhu.mukherjee.946
did you try anything?

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SugarMochi
  • SugarMochi
I'm confused with the question overall and the topic 'similarities' ;-;
anonymous
  • anonymous
try solve all the angles. |dw:1444462802038:dw|
anonymous
  • anonymous
i'll explain these lengths
anonymous
  • anonymous
We know CD=52 AE =18 BC=2AE=2*18=36 Now the ratio of AB:BC is 1:3 Therefore AB=1/3 *BC=1/3 * 36 = 12 The ratio of AD to AC is 2:3 therefore AD= 2/3 * AC = 2/3 *(36+12) = 2/3 *48 = 32 Therefore we also know The difference between AE and DE is 4 AD=AE + ED hence ED=AD-AE=32-18 = 14 ( This is a true solution since AE-ED = 4)
anonymous
  • anonymous
Now we know all our lengths. its just a matter of using similar techniques
anonymous
  • anonymous
|dw:1444463067640:dw|
anonymous
  • anonymous
lets find the scale factor. AC/AE = 48/18 = 8/3 AD/AB= 32/12 = 8/3 Hence our scale factor is 8/3
anonymous
  • anonymous
Therefore CD/BE = 8/3 52/K = 8/3
anonymous
  • anonymous
\[\frac{ 52 }{ K }=\frac{ 8 }{ 3 }\] \[K=19.5\]
anonymous
  • anonymous
: )
SugarMochi
  • SugarMochi
thanyou so much ;-; This really really saved me
anonymous
  • anonymous
haha no problem : ) fan me if you need my assistance when ever i'm online
SugarMochi
  • SugarMochi
Once again, thanyou so much~ This helped alot! :D

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