anonymous
  • anonymous
The figure below shows triangle PQR with a circumscribed circle of radius 7 inches. http://assets.openstudy.com/updates/attachments/505b3fd4e4b0cc122893ea30-renee99-1348157619927-456845882011121142pm1902385864.png Which segment must measure 7 inches? A. segment RO B. segment RQ C. the angle bisectors D. the perpendicular bisectors
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
there's also this one: Look at triangle PQR. http://assets.openstudy.com/updates/attachments/505b3fd4e4b0cc122893ea30-renee99-1348157849369-456845882011122801pm596145625.png Segment QX is an angle bisector. Which statement must be true? A. length of segment XP = 6 inches B. length of segment XQ = 4 inches C. measure of angle XQR = measure of angle XQP = 35˚ D. measure of angle QRX = 180˚ – (90˚+ 35˚) = 180˚ – (125˚) = 55˚ I think the answer is A, is that right?
anonymous
  • anonymous
I don't know the first one, but I think the second one is A
anonymous
  • anonymous
Segment QX is an angle bisector. What do you understand by this?

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anonymous
  • anonymous
i cut the triangle in half
anonymous
  • anonymous
it*
anonymous
  • anonymous
It divides the angle into two
anonymous
  • anonymous
and half of 12 is 6 so that's where I get my answer...
anonymous
  • anonymous
It does not divide the side, it only divides the angle.
anonymous
  • anonymous
ohh okay.
anonymous
  • anonymous
In case of an isosceles triangle, it divides the opposite side also.
anonymous
  • anonymous
well, I know its not C nor B
anonymous
  • anonymous
Why not C?
anonymous
  • anonymous
because the measure of angle XQR is 70 not 35 right
anonymous
  • anonymous
wait, looking at the wrong problem...
anonymous
  • anonymous
hold on im mixed up, was looking at the other problems pic... lol
anonymous
  • anonymous
but yeah, the angle is 70 and not 35 isnt it?
anonymous
  • anonymous
Angle PQR is 70
anonymous
  • anonymous
ohhh, okay, then that would make C the answer
anonymous
  • anonymous
Right
anonymous
  • anonymous
because half of 70 is 35! okay thanks so much! could u maybe help me with the first one now?
anonymous
  • anonymous
Which length is the radius for first question?
anonymous
  • anonymous
well, its says a circumscribed circle of radius 7 inches, which kind of confuses me, but I always thought the radius was the doted line?
anonymous
  • anonymous
Dotted line is the radius
anonymous
  • anonymous
okay, so now how do we find the measure that equals 7 inches?
anonymous
  • anonymous
Why did you think the dotted line is the radius?
anonymous
  • anonymous
Idk, I think its a subconscious thing, I just remember that the dotted line should be the radius?
anonymous
  • anonymous
I remember learning that about radius in school
anonymous
  • anonymous
If you want to conclude that OR is radius, then you must prove that O is the centre of the circle.
anonymous
  • anonymous
here's where circumcentre comes into play
anonymous
  • anonymous
okay... so then would that mean that the answer is A, since we're saying it's the radius?
anonymous
  • anonymous
Answer is right, but you cannot just conclude that OR is radius. The main question is that you need to prove that OR is radius
anonymous
  • anonymous
okay, isn't there a formula for that, I don't have my formula sheet with me, but if I remember correctly, isn't something like 3.14(R)^2
anonymous
  • anonymous
I cant remember the exact formula
anonymous
  • anonymous
No need of any formula
anonymous
  • anonymous
Do you know what does circumcentre mean?
anonymous
  • anonymous
where the three perpendicular bisectors meet?
anonymous
  • anonymous
And it's also the centre of circle
anonymous
  • anonymous
In the picture, two pependicular bisectors meet, which means the third perpendicular bisector would also meet at the same point.
anonymous
  • anonymous
by this you can conclude that O is the centre of circle.
anonymous
  • anonymous
And OR is the radius
anonymous
  • anonymous
gotcha, thanks for ur help! I really really appreciate it!
anonymous
  • anonymous
No problem
anonymous
  • anonymous
Are you good at chemistry?
anonymous
  • anonymous
somewhat, im taking chemistry this year...
anonymous
  • anonymous
I know the basic;s of chemistry pretty well
anonymous
  • anonymous
basic's*
anonymous
  • anonymous
What is hardwater?
anonymous
  • anonymous
I believe hard water is water that has high mineral content...
anonymous
  • anonymous
or something like that, not sure, look it up?
anonymous
  • anonymous
Ok, thanks
anonymous
  • anonymous
np :)

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