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System Message

[00:00:00] *** Please note: All sessions are recorded for quality control. ***

lily (Customer)

[00:00:00] Find the measure of angle RPQ. i keep getting a decimal and my teacher said that im not suposed to get any fractions or decimals or negatives.

Dan S (Tutor)

[00:00:09] Hello, welcome to Tutor.com . My name is DAN. I am looking forward to working with you today.
Is this your first time at Tutor.com ?

lily (Customer)

[00:00:25] no.

Dan S (Tutor)

[00:00:44] Super, I am glad to have you back. LetÃ¢â‚¬â„¢s get started shall we? what approach were you taking that gave you decimals?

lily (Customer)

[00:01:43] 2(9x+9)=360-(5x-9+150)

Dan S (Tutor)

[00:02:05] give me a sec to look this over, please...

lily (Customer)

[00:02:09] okay

Dan S (Tutor)

[00:03:03] where did the very first two that you wrote come from?

lily (Customer)

[00:04:23] my teacher gave us that. she
gave us an example of each
type of problem. she said that
you had to multiply it by 2.

Dan S (Tutor)

[00:05:18] I have taught geometry for decades, and do not beleive that the 2 should be in front, in this case.

[00:05:39]
in a circle the total of the segments must total 360 degrees

[00:05:47] you have THREE of those segments

[00:05:56] I do not agree with your teacher in this case.

[00:06:03] shall we try it without the 2?

lily (Customer)

[00:06:04] could you teach m? i dont
understand

[00:06:07] yes

Dan S (Tutor)

[00:06:30] In a circle like this the sections of the circle must all add up to 360 degrees...

[00:06:38] I see three of those "parts of circles"

[00:06:42] I'll oultline them...

lily (Customer)

[00:06:50] okay

Dan S (Tutor)

[00:07:17] I only see three, do you agree?

lily (Customer)

[00:07:22] yes

Dan S (Tutor)

[00:07:29] let's set up an equation.

[00:07:37] we know that all three must equal 360 degrees

[00:07:47] can you write that on the whiteboard for us?

lily (Customer)

[00:07:51] yes

Dan S (Tutor)

[00:08:19] good, that is the "yellow part"...

[00:08:34] good, that is the purple part...

[00:08:54] yes, that is the blue part...

[00:09:10] PERFECT, that is how it is supposed to look....

[00:09:17] can you combine like terms on the left for us?

lily (Customer)

[00:09:32] yup!

Dan S (Tutor)

[00:10:37] so fine! now "solve" the equation

[00:10:52] by the way, you write VERY well on the whiteboard!

lily (Customer)

[00:11:01] thank you!

Dan S (Tutor)

[00:11:22] correct, continue.

[00:11:51] good....

[00:12:28] yes...

[00:12:56] correct (and not a decimal!)

[00:13:20] now, could you tell me exactly what the instructions were so that we are certain that we answered the question completely?

lily (Customer)

[00:13:37] yeah, could you help me with
some other problems? i was
trying to do them while i was
waiting.

Dan S (Tutor)

[00:13:54] what are the instructions for this first, please?

lily (Customer)

[00:15:31] i'm supposed to do this by
wednsday. thats pretty much
what she told me. she said
that i can go to anyone else
but her for help because it
can count for extra credit if
we work hard enough.

Dan S (Tutor)

[00:15:51] so all we were supposed to do was to "find x"?

lily (Customer)

[00:16:35] no, i was supposed to enter in
x for ange RPQ. sorry i forgot
about that part.

Dan S (Tutor)

[00:16:59] glad I asked...

[00:17:18] now that we know what x is (15) how bit is the yellow ?

lily (Customer)

[00:17:48] what do you mean?

Dan S (Tutor)

[00:18:10] if we "plug in the 15" here...

[00:18:16] what do we get?

lily (Customer)

[00:18:41] oh okay! sorry, im a literature
geek

Dan S (Tutor)

[00:18:58] I like math AND lit!

lily (Customer)

[00:19:07] cool

Dan S (Tutor)

[00:19:47] yep, and what about here???

lily (Customer)

[00:20:08] one second...

Dan S (Tutor)

[00:20:12] k

[00:21:25] that's better, thanks.

[00:21:56] very good...

[00:21:58] now...

[00:22:04] we need to find THIS angle here...

[00:22:19] how can we do THAT?

[00:22:35] how does it relate to the 144 that it bumps into?

lily (Customer)

[00:22:52] what?

[00:22:59] Slow down. I'm confused.

Dan S (Tutor)

[00:23:28] there is a theorem that tells you how to find that blue angel (an "inscribed angle of a circle) in relation to the "intercepted arc"

[00:23:32] remember that theorem?

lily (Customer)

[00:23:49] pythagorean theorem?

Dan S (Tutor)

[00:24:32] no, there is a theorem in your book or notes that states
something like "an inscribed angle of a circle is equal in measure to ........"

[00:24:39] can you find or remember that ?

lily (Customer)

[00:25:02] um, she hates the text book
so...

[00:25:11] she doesnt really use it

Dan S (Tutor)

[00:25:35] are you provided with a list of theorems, or have calss notes that you 've taken?

lily (Customer)

[00:26:39] yes i have class notes. i
haven't learned nay new
theorems yet. (i might have
just missed the memo or
something) i've learned about
postulates though.

Dan S (Tutor)

[00:27:08] let me fill you in on this one, it will go something like this....;

[00:27:32] the measure of an inscribed angle of a circle is equal to HALF of the intercepted arc.

[00:27:56] which o0f the three arcs
does angle P intercept (bump in to?

[00:28:35] 150 or 66 or 144?

lily (Customer)

[00:28:48] 66 and 150?

Dan S (Tutor)

[00:29:04] let me trace the anble RPQ for us...

lily (Customer)

[00:29:09] okay

Dan S (Tutor)

[00:29:42] where do the "ends" of the anble bump into the circle?

lily (Customer)

[00:29:52] 144

Dan S (Tutor)

[00:29:57] YES!!!!

[00:30:07] now apply the formula what is HALF of that?

lily (Customer)

[00:30:49] 72?

Dan S (Tutor)

[00:31:05] You got it!

lily (Customer)

[00:31:08] i like your 2

[00:31:16] now what do we do?

Dan S (Tutor)

[00:31:17] years of practice!

[00:31:39] we have found the measure of anble RPQ, as we were asked!

[00:31:41] we are done.

[00:31:58] have you noticed that I can't spell angle this evening?

lily (Customer)

[00:32:30] yes i have! im soooo excited! i
finally get math! can you help
me some more?

Dan S (Tutor)

[00:32:42] As we have come to a sound conclusion to your question, sadly I cannot help you with ahother question and I must log off with you so that I can help other students who are waiting.

[00:32:53] Please feel free to log back on to TUTOR.COM once we are done here and get another tutor who will be able to work with you on this question. It MIGHT be me...

[00:33:02] I am sorry, but these are the rules that I must adhere to at TUTOR.COM . I hope you understand.

lily (Customer)

[00:33:03] okay, thank you for your help!

Dan S (Tutor)

[00:33:12] It HAS been fun working with yhou.

[00:33:19] It was a PLEASURE working with you today.
Thanks for using TUTOR.COM
Please fill out the survey as you leave so that we can learn how we can better help you in the future

lily (Customer)

[00:33:22] yhou too

Dan S (Tutor)

[00:33:26] bye!