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ABCD is a quadrilateral where AB is parallel to DC. If x = (4y)/3 and y = (3z)/8 find x, y, and z.
 one year ago
 one year ago
ABCD is a quadrilateral where AB is parallel to DC. If x = (4y)/3 and y = (3z)/8 find x, y, and z.
 one year ago
 one year ago

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pratu043Best ResponseYou've already chosen the best response.0
dw:1353909972372:dw
 one year ago

darthjavierBest ResponseYou've already chosen the best response.0
\[\angle A+\angle D=180^\circ\\\angle B + \angle C=180^\circ\] Try to solve it now :)
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
I tried but I'm getting z as more than 90 degrees.
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
z is an acute angle isn't it?
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
z + y = 180 and \[y = \frac{ 3z }{ 8 }\] \[z + \frac{ 3z }{ 8 } = 180\] \[\frac{ 8z + 3z }{ 8 } = 180\] \[\frac{ 11z }{ 8 } = 180\] \[z = \frac{ 180\times8 }{ 11 }\]
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
I don't think that's right.
 one year ago

darthjavierBest ResponseYou've already chosen the best response.0
Go ahead, you are right. Try to put z instead of y in your graph ;)
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
What do you mean 'in your graph'?
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
if y = 3/8 of z, it will be smaller than z. Are you sure you have y and z labelled correctly?
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
Yes. You think it could be a printing mistake?
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
No clue, but if z is acute, and y is 3/8 of z, then there's no way y can be obtuse.
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
Yeah, I never thought of that.
 one year ago

darthjavierBest ResponseYou've already chosen the best response.0
Sorry, graphic*. I mean that you have the wrong graphic or wrong data.
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
The answers given are 96, 96 and 84.
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
Try it the other way around. z = 3y/8
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
Then you get 11y/8 = 180
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
\(y = \frac{180 \times 8}{11}\)
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
That gives an angle of 131, meaning z would be 49. Doesn't work.
 one year ago

geoffbBest ResponseYou've already chosen the best response.1
Well, it works, but not to the answers you're given. :)
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
I already tried all that.
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
Well, thanks for your help anyway. I'll ask my maths teacher.
 one year ago
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