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Mathematics 13 Online
OpenStudy (anonymous):

Trapezoid problem? (Geometry)

OpenStudy (anonymous):

I set up the equation as 3x+5=1/2[(7x+4)+4] but I got the wrong answer. I dont understand how to do it, please help?

OpenStudy (sirm3d):

what value of x did you get?

OpenStudy (anonymous):

I got 10, but the answer is 11. I dont know how to get 11 though..

OpenStudy (sirm3d):

ah, \(\overline{EF}\) is asked. what did you get for x?

OpenStudy (anonymous):

I told you haha, I got 10...

OpenStudy (sirm3d):

something went wrong in your algebra. let's compare results. \[3x+5=(1/2)[(7x+4)+4]\\2(3x+5)=(7x+4)+4\\6x+10=7x+8\]

OpenStudy (anonymous):

Where did you get the 2 from? And where did the 1/2 go?

OpenStudy (sirm3d):

i multiplied the first equation by 2 to clear denominator

OpenStudy (anonymous):

That would've been better...but if you solve it like that wouldnt x=6?

OpenStudy (sirm3d):

6x+10-6x=7x+8-6x 10 = x + 8 10-8=x-8 2=x

OpenStudy (sirm3d):

\[\overline{EF}=3x+5=3(2)+5=11\]

OpenStudy (sirm3d):

uhm, the third line should read 10-8=x+8-8

OpenStudy (anonymous):

Oh I see...but I thought Line EF was half of line BC...?

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