## anonymous one year ago Given: Line PB tangent Line PV, Line PU Secants If m Arch VU = 70° and m Arch ST = 30°, then m Angle 2 = a) 20 b) 35 c) 50

1. anonymous
2. anonymous

The answer I got wrong was 35

3. phi

average of the two arcs

4. anonymous

So, add them together and divide by two?

5. phi

yes

6. anonymous

Okay sorry it took so long

7. anonymous

I was Driving off a stalker

8. anonymous

I don't think you wanna' know what he said to me either

9. anonymous

:(

10. anonymous

I'm not worried or anything. Just annoyed

11. anonymous

@phi

12. phi

Report them if it happens again

13. anonymous

I will

14. anonymous

Don't worry

15. anonymous

Oh and btw, there is another question that applies to the same picture

16. anonymous

@phi

17. phi

if it asks for angle 1, that is 1/2 the difference of the two arcs i.e. (big - small)/2

18. anonymous

If m Angle 1 = 30° and m Arch ST = 20°, then m Arch VU = a) 10 b) 40 c) 80

19. phi

$\frac{VU- ST}{2} = Angle 1$

20. phi

fill in what you know, then use algebra to "solve for VU" can you do that ?

21. anonymous

Hmmm. Let me think for a sec

22. phi

in the formula, replace ST with 20 and angle 1 with 30

23. phi

$\frac{VU- 20}{2} = 30$ I would start by multiplying both sides by 2

24. anonymous

Yeah, I'm writing it down

25. anonymous

Oh and thanks. That helps

26. anonymous

I was thinking about doing that, but then I started to second guess myself

27. anonymous

So VU-40= 60?

28. anonymous

VU=100?

29. phi

you do this $2\cdot \frac{(VU- 20)}{2} = 30 \cdot 2$ you can think of the left side as multiplying fraction times fraction (top times top and bottom times bottom) $\frac{2}{1} \cdot \frac{(VU- 20)}{2} = 30 \cdot 2$ $\frac{2(VU- 20)}{2} = 30 \cdot 2$ or $\frac{2}{2} \frac{(VU- 20)}{1} = 30 \cdot 2$

30. phi

in other words you should get VU -20 = 60

31. anonymous

Okay. So you don't multiply 20 by 2?

32. anonymous

I'm guessing that's where I messed up

33. phi

remember to how to add or subtract fractions: $\frac{VU}{2} - \frac{20}{2} = \frac{VU-20}{2}$ you can do it the other way round: $\frac{VU-20}{2}= \frac{VU}{2} - \frac{20}{2}$ and simplify 20/2 to 10 $\frac{VU}{2} - 10 = 30$ now add 10 to both sides $\frac{VU}{2} - 10 +10 = 30+10 \\ \frac{VU}{2} = 40$

34. anonymous

So VU= 80

35. phi

yes.

36. anonymous

Alright I understand it now

37. phi

I guess you have to get the idea that $\frac{complicated\ stuff}{2} \cdot 2 = complicated\ stuff$

38. anonymous

Hehehe. Lol!

39. anonymous

wow

40. anonymous

I'm gonna' be quoting that for awhile

41. anonymous

Thanks!

42. phi

yw