Could someone please help me with this Geometry? I need someone to check my answers and help me solve some questions. Thank you! ^_^

- LifeIsADangerousGame

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- LifeIsADangerousGame

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- LifeIsADangerousGame

@jim_thompson5910 You really helped last time :D Would you mind helping me again if you're not busy?

- Mertsj

Which ones do you need help with?

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## More answers

- LifeIsADangerousGame

Sorry about that, I got kicked out :/ @Mertsj I need help with any one of the questions that don't have an answer highlighted in yellow. Any of the ones that do I need them to be checked. :)

- Mertsj

So number 2. It is an isosceles triangle. Do you know what an isosceles triangle is?

- LifeIsADangerousGame

Yes, a isosceles triangle is a triangle that has two equal sides and two equal angels.

- Mertsj

That is very good. So what is the sum of all the angles of a triangle?

- LifeIsADangerousGame

The sum of all the angles of a triangle is 180 degrees.

- Mertsj

So why can't you get number 2?

- Mertsj

Angle B is 35, angle C is 35 so you should be able to find angle A

- LifeIsADangerousGame

Ohh, I'm sorry, I forgot to do that one, I do know how to do that one sorry! D:

- Mertsj

So # 3. There is a theorem that says that the exterior angle of a triangle is equal to the sum of the two remote interior angles. Do you know what that means? Do you know what an exterior angle of a triangle is?

- Mertsj

So do you need help or not?

- LifeIsADangerousGame

I do I'm sorry, my computer keeps freezing.

- LifeIsADangerousGame

I don't really understand that theorem. @Mertsj

- phi

which question ?

- LifeIsADangerousGame

I need all of the questions checked that have answers checked and then all of the questions that don't have yellow highlights I need help figuring out

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- phi

Your yellow answers (btw use blue next time, I could not read yellow) are correct
for question 3, you should think "If I know 2 angles of the triangle, I can figure out the 3rd"
use the idea that a straight line is 180ยช to find that 2nd angle.
Can you do that ?

- phi

If that is too cryptic, I am saying that angle 4 plus angle 2 add up to 180 degrees

- phi

for question 6
remember this:
|dw:1362333669480:dw|

- LifeIsADangerousGame

Sorry, I didn't get a notification
For #3, is Angle 2 10?

- LifeIsADangerousGame

Actually, it'd be 74. @phi

- LifeIsADangerousGame

Which means Angle 1 is 106?

- phi

for question 3, you know angle 3 (64) and you know angle 2 (74)
angles 1,2 and 3 add to 180

- LifeIsADangerousGame

Ohh okay, so Angle 1 is 42?

- phi

yes

- phi

question 7 is another "angles add upto 180 in a triangle)

- LifeIsADangerousGame

I'm not sure how to solve that one :/

- phi

Did you get 6 ? Vertical angles are =

- LifeIsADangerousGame

are the angles opposite each other when two lines cross

- phi

yes, so if you know angle 4 you know angle 2

- LifeIsADangerousGame

Yes, but I can't seem to get the right answer for it. None of the answers would add up to 180

- phi

what is angle 2 ?
what is angle 3 ?

- LifeIsADangerousGame

Angle 3 is 54, but I don't know what Angle 2 is, but it's the same as Angle 4

- phi

Didn't you answer question 5 ?

- LifeIsADangerousGame

Yes but is that the right answer?

- phi

you can check: the 3 angles in the triangle add up to 180

- phi

but up above I told you Your yellow answers (btw use blue next time, I could not read yellow) are correct

- LifeIsADangerousGame

Okay yes, that answer is correct. So angle 4 is 64 degrees. Ohh, all my yellow answers are correct? Sorry I didn't understand that D: I'll do Blue next time, thanks. So if Angle 4 is 64 degrees then Angle 2 is 64 degrees. So if Angle 2 is 64 degrees and Angle 3 is 54, then Angle 1 is 62 degrees?

- phi

yes. And that process of reasoning you went through is really what is important to learn.
Geometry is just a way to set up problems that get you to think that way.

- LifeIsADangerousGame

I'll do some of the practice questions they have for me after I'm done my assignments. :D

- LifeIsADangerousGame

Could you help me with the questions on Page 5 and the last page?

- phi

I just notice question 18 looks wrong.

- LifeIsADangerousGame

Did I mix up Alternate Exterior Angles?

- phi

angle 5 and angle 8 are vertical angles. The fancy names refer to angles on the 2 different parallel lines (if that makes sense)

- LifeIsADangerousGame

So would Angle 1 be the correct answer?

- phi

yes. alternate means "other side of the transversal" and exterior means outside the 2 parallel lines.

- LifeIsADangerousGame

Ohh okay, I got mixed up because this is a different angle of the the diagram than I am used to :/

- phi

for question 22 and 23, the idea is the angles on the "right side parallel line" are equal to their corresponding angles on the left side parallel line.
so 6 matches (corresponds) with 2

- phi

using corresponding angles and knowing vertical angles are equal, you can figure out everything (except the goofy names they give the different angle pairs)

- LifeIsADangerousGame

Does that mean Angle 6 and 7 are 140?

- phi

yes, 6 and 7 are vertical. I draw a narrow x to remind me, because the angles look =
|dw:1362337901794:dw|

- LifeIsADangerousGame

That's a good idea, I'll remembe that

- phi

25 looks wrong.

- LifeIsADangerousGame

Well 3x = 6 would be 3x/3 = 6/3 right?

- phi

how do you get from
3x+5=11
to
3x = 6

- LifeIsADangerousGame

Ohh you're right, that should be subtraction >.<

- phi

they are asking how you get from the first statement to the middle statement
I would subtract 5 ( or add -5 which makes their reasons a little goofy)

- LifeIsADangerousGame

And then 26 would be E instead

- phi

yes

- LifeIsADangerousGame

It's kinda confusing because it seems like they skipped a step

- phi

you mean for
3x+5=11 given
3x = 6 subtraction property
x = 2 division
what step is missing ?

- LifeIsADangerousGame

The division property

- phi

you could "show the work"
3x+5 = 11
3x +5-5 = 11-5 subtract -5
3x = 6 simplify
3x/3 = 6/3 divide by 3
x = 2 simplify

- LifeIsADangerousGame

True, with these I think I'll do the problem that way I know what's missing

- phi

for 27, it looks like addition property of angles. You can get that one by process of elimination.... it's the only reason that mentions angles.

- LifeIsADangerousGame

For 28, I think it's C

- LifeIsADangerousGame

No that's not right

- LifeIsADangerousGame

Because 29 needs to be C

- phi

you are looking for the reason for changing M

- LifeIsADangerousGame

I think 28 is Substitution

- phi

another rule out all the add and subtract properties which do not fit.
you are left with substitution, which makes sense. you are substituting 4n-6 for M

- LifeIsADangerousGame

So now we have Addition, Subtraction, and Division left. 29 would be Addition?

- phi

how do you get from
4n-6=2n+46
to
2n -6= 46

- LifeIsADangerousGame

...it'd be subtraction wouldn't it? They subtracted 2n from 4n?

- phi

If you have 2n's on the right side, you do you make it no n"s ?

- phi

if you have 2 apples and you take away 2 apples , how many apples do you have left ?

- LifeIsADangerousGame

No apples left

- phi

and we call that ADD? SUBTRACT ? DIVIDE?

- LifeIsADangerousGame

Subtracting

- phi

yes they subtracted 2n from both sides
on the right 2n - 2n is 0
on the left 4n - 2n is 2n (4 apples take away 2 apples leaves 2 apples... thinking apples instead of a letter n might make this seem more obvious)

- LifeIsADangerousGame

Yea, I'll practice these more too

- phi

almost done. question 30

- LifeIsADangerousGame

Would that be C? Addition?

- phi

yes they added +6 to both sides
2n-6=46 becomes
2n - 6+ 6 = 46+6 addition property
2n = 52 simplify

- LifeIsADangerousGame

And then finally 31 is E :D

- phi

yes, I think you got everything correct

- phi

now your teacher will think you are a genius and make you teach everybody else.

- LifeIsADangerousGame

XDDD She'll be asking the wrong person :b

- Mertsj

But some of us will know who the REAL genius is.!

- LifeIsADangerousGame

O.o well yea

- LifeIsADangerousGame

Thanks again Phi, I appreciate it! One of these days I'll be good at math!

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