anonymous
  • anonymous
Look at the figure below: What is the length, in units, of segment CD?
Mathematics
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SOLVED
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katieb
  • katieb
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moazzam07
  • moazzam07
what figure
anonymous
  • anonymous
anonymous
  • anonymous
@moazzam07 i posted the picture

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LynFran
  • LynFran
its right there CD=5
LynFran
  • LynFran
|dw:1436311436354:dw|
anonymous
  • anonymous
but 5 isnt an answer choice these are the choices 11 7.2 5.5 10
anonymous
  • anonymous
@Ghostedly
anonymous
  • anonymous
@LynFran how is it 11 i just kinda wanted to go throught the work
phi
  • phi
The marks mean the two lines are parallel. If we leave out all the lines except these |dw:1436305853611:dw|
phi
  • phi
in other words, using the full diagram|dw:1436305955256:dw| because both triangles also have a 90 degree angle, two angles in each triangle are the same. because the 3rd angle must add up to 180, the remaining angles are = the triangles are similar
phi
  • phi
now you can write a ratio side 5 in the bottom triangle is opposite the "double mark angle" side 6 in the top triangle ditto so 5/6 = hyp of bottom/ hyp of top 5/6 = 6/x solve for x
anonymous
  • anonymous
Soo it would be 11 @phi
LynFran
  • LynFran
no
anonymous
  • anonymous
never mind 7.2
anonymous
  • anonymous
i dont have a calculator with me can you do it for me @LynFran
LynFran
  • LynFran
you answer is correct 7.2
LynFran
  • LynFran
i was doing the trig ratio part wrong...sorry

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