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BarlowGirl
 3 years ago
PLEASE HELP!!!!! (drawing attached)
"For the two intersecting lines in the drawing, which of the following must be true?"
(A) a>c
(B) a = 2b
(C) a+60 = b+c
Please explain why the answer to this questions is: "Only B and C are true."
Thanks! =)
BarlowGirl
 3 years ago
PLEASE HELP!!!!! (drawing attached) "For the two intersecting lines in the drawing, which of the following must be true?" (A) a>c (B) a = 2b (C) a+60 = b+c Please explain why the answer to this questions is: "Only B and C are true." Thanks! =)

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BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1338591680453:dw

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Well, if we use the idea that a line will always create an angle of 180 degrees, we can see: a + 60 = 180, a + b = 180, b + c = 180, and c + 60 = 180

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, I do get that, but why would a=2b ?

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Well, let's solve for a: a + 60 = 180 subtract 60 from both sides: a = 120 Then, if we solve for b in a + b = 180, using a = 120: 120 + b = 180 b = 60 If we double b, it'll be the same as a: 2b = a

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0OH, I see! Okay  that makes sense. Well  thank you so much for taking your time to explain it! I really do appreciate it! :)

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1You're welcome! I'm glad to help. :)

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks  you're really good at it! :)

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Hmm, thanks. :P Geometry is my favorite type of Math so far. :D

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Ha, ha  I know what you mean! I enjoy it the most (well . . I also enjoy Algebra1, as well), too. It's much more creative!

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Yeah. Some of my favorite problems come from Geometry. :D Like one about a length of cable to attach a cylinder to a flatbed: truck dw:1338593807626:dw Having to find the length of the entire cable given only that radius. (This was a problem I encountered on OS :D)

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Oh, and that the angle in the corner was 60 degrees. lol dw:1338594186655:dw

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Boy!  that certainly looks a little tricky! Did you solve it?

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Oh, ha, ha  yes, the angles does help! :)

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Yeah, it essentially breaks down into a 306090 triangle and the arclength of the top: dw:1338594286628:dw So the actual length just comes down to \(2 \pi + 6\sqrt{3}\) That problem is just so interesting, involving all these different important concepts. :D

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Wow! I don't think that I've seen too many Geometry problems with so many concepts involved! You are right, though  it does involve quite a few different concepts! :) Good for you for figuring out the answer! I'm most impressed! Keep up the good work (and the good brains:)!

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0From your level of math ability, are you a college math student? You seem to be very good at what you do!

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Thanks. :) Yeah, I'm gonna go back to reading a Geometry book in a sec. The book goes over a lot of stuff I didn't get to see in class. High School, just passed 10th; I just finished Geometry / Algebra II.

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Wow! That's incredible! I'm assuming you just passed 10th grade because of the school year ending? In 5 days I, too, finish Algebra 2 and I'll finish 11th grade!! I can't wait! Are you reading a Geometry book for fun, or are you taking some summer classes?

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Yeah, it's the end of the school year. Nice! :D This one is for fun. I just started on it, too. It starts out proving an extended law of sines, which was quite a surprise to me. lol

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Ha, ha  yes, that is kind of surprising! So, you must be planning on going into some brainy math field in college?

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Yeah, that'd be possible. I think at this point, I wouldn't even need to listen in Math class for the next few years, since I've studied up to Calculus II and a little of Calculus III / Linear Algebra. :P

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Woah  you're blowing me away! :) I think the most that I would ever want to go up to is Trigonometry and PreCal.  I'll leave the rest to all of you brainy people out there. ;) I was surprised that Algebra 2 wasn't as bad as everyone says it is. I thought it'd be a lot worse. That was nice, though.

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1It's good that Algebra II wasn't so bad for you. At least, from what I've seen... I was surprised by my Algebra II class and how notready the other students were. They always wanted to kick me out of class because the teacher wouldn't curve the scores when I got 98100% on every test. lol

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Ha, ha  that's funny. :) You definitely have a natural gift for math! I ended up having to repeat 4th grade because math was so difficult for me to understand (ha, ha  can you imagine me  a then little 4thgrader struggling with multiplication and division!  and I made it all the way to Algebra 2!) :) I'm glad I'm better at it now, though. I would never have had a chance of getting into college, with the scores I had, back then! Where you're so good with math, were you/are you homeschooled? or do you just understand math really well?

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Interestingly, I don't recall myself being that great at all the grade school math. I didn't even get to go to Algebra I early when I had the chance in 8th grade. It was sometime after I learned I had to go to PreAlgebra (which was sorta annoying I guess) that I just started studying Math myself, usually just Googling different things like basic sine/cosine stuff and imaginary numbers. As I went on with that, I soon picked up this strange interest in the subject. Eventually I got into Calculus / trying to figure out limits, and once I overstepped limits, I think everything just started making sense to me. D:

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Cool!  I wish my story was like that. I do understand what you mean about it making sense, after awhile. That's what I noticed happened with me  It's like something just clicked.

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0If you're not busy, right now, I actually am stuck on another Geometry problem (it's a triangle within a triangle). Do you want to have a go at it and see if you can figure it out?

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Sure. :) Limits were probably the absolute hardest thing ever to actually understand for me, it took all year to figure it out.. lol

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Ha, ha  I can't imagine! Okay, here goes . . . . .

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0In triangle PQR (shown in the drawing below), w = (A) 50 (B) 55 (C) 60 (D) 65 (E) 75 Here's the triangle: dw:1338596635921:dw

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Here, I see enough information to use the property that the sum of interior angles in an ngon is \(180(n2)\) dw:1338596846040:dw The sum of that big angle and 140 is 360 (circles are 360 degrees) t + 140 = 360 t = 220 Then, we just have to use: w + 35 + 40 + 220 = 180(42) = 360

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Ah  okay, I see! So, when you solve, you would get: 65 Is that correct?

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0I forgot about using the angle outside of the 140 degree angle  that part always trips me up! Thank you, again, for your outstanding help! In case you're wondering why I have so many questions, I'm going to be taking the SAT tomorrow, so I'm practicing SAT test questions, right now. OpenStudy and you have been so helpful! I love having this site, instead of having to get a tutor! :)

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Ahh, nice. Good luck! Yes, I love this site also. I've met some very cool and smart people here. :D

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks! I'll need it!!! Yes, I agree  some of the people on here are really good (you included ;)!

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1You're welcome. ) and thanks. I've still got a lot to learn in Math though, and this site is helping me to see what I know and don't know. :P

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0I know!  math is just neverending (ha, ha  sounds like a good title  "The Never Ending Story" :). Well, if you ever need my help with writing (grammar, etc.) or any other subject besides math (I don't think I'm quite up to your level, with math, yet:), I'd be happy to help! I'm pretty good with the more creative side of things, if you know what I mean.

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Hmm, that could be a possibility, but next year. :P Thanks!

AccessDenied
 3 years ago
Best ResponseYou've already chosen the best response.1Well, I'll see you later! I have to get back to this Geometry book. Bye, and good luck once again!

BarlowGirl
 3 years ago
Best ResponseYou've already chosen the best response.0Sounds good! You, too! Thanks so much! =)
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