pumpgirls
Line segment AC is parallel to ED. . Solve for x. Round to the nearest tenth.
x = 6
x = 37.5
x = 21.7
x = 42.5



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pumpgirls
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sauravshakya
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Can u prove that triangleEBD and triangleABC similar

pumpgirls
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idk

sauravshakya
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So, at first we need to prove that two triangles are similar

pumpgirls
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ok

sauravshakya
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Angle EBD = Angle ABC.............Can u tell me. why?

pumpgirls
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they similar

sauravshakya
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Look at Figure............ what do u see?

pumpgirls
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all sides are equal

sauravshakya
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Nope......... they are common angles

sauravshakya
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Did u see?

pumpgirls
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ok yes

sauravshakya
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Also, angle BED = angle BAC............

pumpgirls
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yea

sauravshakya
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corresponding angles as AC parallel to ED ....right?

pumpgirls
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right

sauravshakya
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Thus, triangleEBD and triangleABC similar by A.A axiom

pumpgirls
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yea so what would my answer

sauravshakya
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Now, As triangleEBD and triangleABC similar,dw:1345725490764:dw

sauravshakya
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dw:1345725580952:dw

sauravshakya
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Does that help?

pumpgirls
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yeah but which one would i chose

sauravshakya
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dw:1345725698605:dw

sauravshakya
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Solve and get te value of x

sauravshakya
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can u?

sauravshakya
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@pumpgirls can u?

pumpgirls
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how do i solve forx

sauravshakya
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dw:1345725939615:dw

sauravshakya
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got it?

pumpgirls
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so the answer is 37.5??

sauravshakya
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18.3

pumpgirls
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but thats not one of answers

sauravshakya
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dw:1345726189097:dw

pumpgirls
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okay I gotcha :)

SWAG
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its C