1. HourglassMage
2. HourglassMage

Find the value of x in the figure below. Show all steps.

3. HourglassMage

The larger arc is 158°

4. HourglassMage

I got an answer of 5.78°

5. HourglassMage

is this correct?

6. ScarlettBlack

Just a second.

7. HourglassMage

tyt :)

8. ScarlettBlack

I can give you a formula that will help you find the answer. (9x - 5) = 1/2 (larger arc - smaller arc) So 158-64 = 94 / (1/2) = 47 angle (9x - 5) = 47 so 47 - 5 = 42 42 / 9 = 4.6666666667 or you can round to 4.70 You can check it.

9. ScarlettBlack

Oh sorry it's actually my bad. You take 47 and then you add 5 and then you divide by 9 and that's x

10. HourglassMage

right, yeah, I was just going to say that would make my answer 5.78 right?

11. ScarlettBlack

12. HourglassMage

52/9 = 5.78....unless they wanted me to round up to the nearest whole number...

13. ScarlettBlack

ahhh sorry so yeah. You're original answer is correct. I don't know why but for some reason today I'm just being extra... well I feel dumber. Is the question multiple choice?

14. HourglassMage

lol, it's fine no it's free response

15. HourglassMage

this is my work: (9x - 5)º = (1/2)(158° - 64º) (9x - 5)º = (1/2)(94) (9x - 5)º = 47° 9x + (-5 + 5) = (47 + 5)° 9x = 52 9x/9 = 52/9 x = 5.78 x = 5.78

16. ScarlettBlack

Well you can wait to see if anyone else will answer but I would say go with your gut. I'm not really sure how else to put it. Sorry if I wasn't of help.

17. ScarlettBlack

Yup, that looks about right though.

18. HourglassMage

It's fine, mostly I just wanted to make sure my equation was right thnx for your help! :D

19. ScarlettBlack

Sure thing!

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