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# what is the number of units in the length of $\overline{AB}$?

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Point $C$ is the midpoint of $\overline{AB}$, point $D$ is the midpoint of $\overline{AC}$, point $E$ is the midpoint of $\overline{AD}$, and point $F$ is the midpoint of $\overline{AE}$. If $AF=3$, what is the number of units in the length of $\overline{AB}$?

Jul 15, 2023

#1
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What do all those \$ signs mean? Can you write your question properly?

Jul 15, 2023
#2
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It means that they are an a o p s homework cheater who copied their homework from the site. Don't expect anything to be done about this though; moderators love encouraging dishonest students.

Guest Jul 15, 2023
#4
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It means that they are an a o p s homework cheater who copied their homework from the site.

You do not know and cannot know the motivation of the poster. You do not know if this poster is an AoPS student. If the poster is not an AoPS student, then posting this is not cheating. This poster may have posted this as a mute counterpoint to the massive quantity of adulterated AoPS questions posted every single day.

Apparently the poster doesn’t know how to post inline LaTex so that it renders on this forum.

Allow me...

Point $$C$$ is the midpoint of $$\overline{AB}$$, point $$D$$ is the midpoint of $$\overline{AC}$$, point $$E$$ is the midpoint of $$\overline{AD}$$, and point $$F$$ is the midpoint of $$\overline{AE}$$. If $$AF=3$$, what is the number of units in the length of $$\overline{AB}$$ ?

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Don't expect anything to be done about this though; moderators love encouraging dishonest students.

You are very presumptuous! None of the moderators have ever encouraged dishonest students.

Over the years, Melody has trolled and barked at many obvious homework cheaters.

...And those who facilitate and enable homework cheaters.

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Why do you care if AoPS students cheat on their homework? They are only hurting themselves. It’s not the same as cheating on a test, where it affects everyone in the class.

You seem obsessed by this behavior. Maybe you should seek some counseling.  You’re never going to stop homework cheaters.

GA

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Guest Jul 16, 2023
edited by Guest  Jul 16, 2023
#5
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How do you know they aren't cheating? How do you know this isn't a test? This is what you get when you copy-paste latex into a word editor. Assumption of innocence and good intent may work in courts of law, but is inpratical in academic situations.

Guest Jul 16, 2023
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How do you know they aren't cheating?

I don’t know. What I do know is this question as posted (with the easily corrected un-rendered Latex) is useless; it requires a diagram to answer it.  Someone skilled and fluent in geometry could create a diagram (or several) that’s applicable to the text question, and solve that as an example.  The student (and others who study this) could learn from this example and apply it to similar questions. In this case, everyone who wants to learn can learn –with no cheating.

The motivation behind the posting of the question could be any of the following:

*The poster is incompetent: beyond not knowing how to post renderable LaTex, the poster doesn’t realize the question actually requires a diagram.  (This has happened quite often through the years.)

*An AoPS student posted this to annoy the instructors or other students who may search for a solution.

*An AoPS student or former student posted this to add to the useless questions spam.

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Assumption of innocence and good intent may work in courts of law, but is inpratical in academic situations.

It’s “presumption of innocence,” and “good intent” only applies to civil law, “intent” applies to the penalty phase of criminal law. Neither “good intent” nor “ignorance of the law” exempts anyone from prosecution. (Based on General US law and some European laws –not French law, which presumes guilt, until proven innocent.)

In any case, homework cheating isn’t a crime. Test cheating is a crime in China, with criminal penalties of up to 10 years in prison.  It’s also a crime some African countries. There are several documented cases of teachers summarily executing students who were caught cheating.  Whether this was legal or not, I am uncertain. An archived news article from the mid 1980s describes a teacher, who after observing several students cheating on a test, left the classroom, returned a few minutes later with an assault rifle and shot six students, killing them all. He then told the remaining students to resume their testing.  The article didn’t say how well the students scored. But I suspect test stress was a major factor for the low scores.  For good measure, the teacher should have added some projectile-energy equations to the test. May as well make it a learning experience.

GA

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Guest Jul 16, 2023
edited by Guest  Jul 16, 2023
#7
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Your assumption that the problem can't be solved without a given diagram just shows your limited understanding of math. It is possible to draw a unique diagram based on the given conditions. Your other ramblings are irrelevant.

Guest Jul 16, 2023
#8
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It is possible to draw a unique diagram based on the given conditions.

I said as much ...and more; it was part of my relevant rambling. Any of the unique diagrams would not likely be the same as the one assigned to the original question, so the original question is not directly answerable. This should make you happy, because it stops homework cheating. But I suspect nothing makes you happy, except bitching, trolling, and warping the realities that you occasionally share with others...

My irrelevant ramblings are only irrelevant if your wonderfully thought provoking comments are irrelevant. Are they?

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I must leave this wonderful dialogue for awhile. I need to take a prophylactic dose of thorizine. Mental illness is sometimes contagious, just like Contagious Dumbness Disease, except more so...

GA

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Guest Jul 16, 2023
edited by Guest  Jul 16, 2023
#9
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Dear GA,

Sincerely,

GA

Guest Jul 17, 2023
#10
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You're weird, but I like how you think

Guest Jul 17, 2023
#11
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How did this discussion turn into throwing thinly veiled insults at each other??

Guest Jul 17, 2023
#12
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The length of AB is 60.

Jul 17, 2023
#13
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By me, GA!

Guest Jul 18, 2023