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For our resident math geeks

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brianvds
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« on: Today at 05:23:04 »

I'm having an attack of stupid again. Can somehow tell me how one goes about to determine the size of angle a in the below diagram?

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Mefiante
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« Reply #1 on: Today at 06:18:20 »

As given, the diagram contains insufficient information to determine the angle a because the orientation of line segment EG can be varied independently of that of line segment FH.

Still, it appears that the line segments EG and FH are reflections of one another through a line that is perpendicular to the parallel pair of line segments AB and CD.  If this assumption is correct, then:—
  • By symmetry, the angle of intersection between EG and CD is also 70°;
  • By parallel translation, the angle of intersection between EG and AB is also 70°; and
  • Therefore, a = 180° – 70° = 110°.

'Luthon64
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brianvds
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« Reply #2 on: Today at 08:51:22 »

Ah well, then perhaps I wasn't all that stupid after all. The problem was in a grade 8 math assignment that I was helping a kid with, and it frustrated me that I couldn't do it either. :-)

Well, there is a memorandum somewhere. I'll go check what their supposed solution is and come report back. Perhaps they meant to indicate a symmetry or something. I have noticed that their memoranda sometimes contain information not given in the original problem.

The browser spell checker tells me 'memoranda' isn't a word, and that perhaps I was trying to type Andromeda. I'm glad it doesn't have an autocorrect function. Particularly since it tells me 'autocorrect' isn't a word either. :-)
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Mefiante
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« Reply #3 on: Today at 10:37:54 »

Interesting.  In that case, bacteria, media, momenta, quanta, fora and many more shouldn’t be words either…

(There, I’ve subverted your thread.  Now it’s for our resident word geeks. )


'Luthon64
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brianvds
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« Reply #4 on: Today at 12:22:06 »

Interesting.  In that case, bacteria, media, momenta, quanta, fora and many more shouldn’t be words either…

(There, I’ve subverted your thread.  Now it’s for our resident word geeks. )


'Luthon64


Let me quickly check whether math and maths are words. Verdict: spell checker is fine with both. But not with mathemagics. :-)
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