## Emily778 2 years ago Find the value of x.

1. Emily778

2. charlieberzak

:P :P :P

3. Emily778

Not the greatest picture in the world.

4. charlieberzak

not hd, huh

5. Emily778

What do you think it is?

6. charlieberzak

but it looks cool, white crystals, me and my uncle went crystal picking and we also found some cool ones... but mine were purple

7. charlieberzak

i have not idea, a crystal lol

8. Emily778

they're a pale pink, actually.

9. Fazeelayaz

rock

10. Kapt_Crazy

ok emily this is another simple one. x is the radius of the circle right.

11. Emily778

yep

12. Emily778

what do I do?

13. Kapt_Crazy

is the 12 the length of the whole line or just up the the point where the line of 9 meets it

14. Emily778

I think it's just where the 9 meets

15. Kapt_Crazy

|dw:1369728122034:dw|

16. Kapt_Crazy

u see the kind of dotted line right. that makes ur triangle and the raduis. so the ans for the dotted line is = x

17. Kapt_Crazy

do u understand

18. Emily778

yes

19. Kapt_Crazy

so what ans did u get

20. Emily778

15.

21. Kapt_Crazy

yeah u right

22. Emily778

ok :) thanks.

23. Emily778

24. Emily778

@Kapt_Crazy

25. qweqwe123123123123111

The answer to the first problem is not 15.

26. Emily778

i think it's 40.

27. Kapt_Crazy

do u need to calculate the angle

28. Emily778

prove it.

29. charlieberzak

lol what a challenge

30. qweqwe123123123123111

It's an easy one, actually. Since the "9" line is right to the "12" line, you know that it also bisects the "12". Which means that you have a right triangle with a long leg of 9, a short leg of 6, and the hypotenuse of that triangle would be the radius of the circle - which also just happens to be what "x" is.

31. Kapt_Crazy

those angles well be equal because

32. Emily778

so it's 12?

33. Kapt_Crazy

|dw:1369728687803:dw|

34. qweqwe123123123123111

|dw:1369728693846:dw|

35. Kapt_Crazy

|dw:1369728808616:dw|

36. Emily778

is the first one actually 15?

37. Kapt_Crazy

and if the lines are the same length rhss then the angles are the sme

38. yummydum

is the entire line 12, or is half the line 12?

39. qweqwe123123123123111

- "is the first one actually 15?" Which part of "The answer to the first problem is not 15" is giving you problems? Look at my diagram and all will be clear - IF you THINK about it.

40. Kapt_Crazy

qweqwe is right if the line full length is 12. but if it was the full length the would have centerewd the 12 and not had it ofcentered

41. Kapt_Crazy

off centered

42. yummydum

it goes out from the radius perpendicularly, it cant be off-center

43. Kapt_Crazy

|dw:1369729065516:dw|

44. Kapt_Crazy

|dw:1369729144486:dw|

45. Kapt_Crazy

i still believe the ans is 15

46. qweqwe123123123123111

Yes, I see what you're saying, and you may have a valid point. And if the picture is drawn to scale, then your argument is further supported. So if the long leg is 12, then the radius is indeed a nice, neat 15.

47. Kapt_Crazy

yeah else it would be 10. sumthing

48. Fazeelayaz

sqrt117 36+81=117

49. qweqwe123123123123111

Yeah, a far less than neat 10.82 or so. :-)

50. Fazeelayaz

are there any details aabout the length AB and CD are they given equal in question

51. qweqwe123123123123111

I'm gonna go with Kapt_Crazy on this one and say that the radius IS 15 for the first problem, based on the offset "12". But it sure would help if the producers of these diagrams would make things unambiguous for the viewers. On the last problem a leg was found based on the assumption that a particular line was tangent, without the problem giving any clues that it was. And as for the second problem, the 2 chords have hash marks which means they're congruent. If the 2 chords are congruent, then so are the angles they subtend, so x=40

52. phi

**. If the 2 chords are congruent, then so are the angles they subtend, so x=40 this follows from the two triangles being congruent by side-side-side: (radius, radius, = chord). therefore by corresponding parts of congruent triangles, the central angles are congruent.

53. Emily778

Thanks y'all