## anonymous one year ago 1. Angle C is an inscribed angle of circle P. Angle C measures (3x + 5)° and arc AB measures (16x)°. Find x. 2.Circles M and K are congruent and QR is congruent to LN. Find QR.

1. Mertsj

The inscribed angle = 1/2(the intercepted arc)

2. Mertsj

For the second one I have no idea what QR and LN represent so can't help with that one.

3. anonymous

4. anonymous

5. anonymous

@Mertsj thanks but I still don't get it

6. anonymous

For #2, if they are congruent, then it means they are equal.

7. anonymous

$\huge QR≅LN$$\huge 5x=3x+54$

8. anonymous

Once you solve for x, plug that number in the x of QR.

9. anonymous

@mathway okay I tried to plug it in this is how I did it

10. anonymous

|dw:1438476376640:dw|

11. anonymous

You shouldn't add 3x. You should subtract it. :)

12. anonymous

|dw:1438476544000:dw|

13. anonymous

thank you my X was 27 and then I did 5(27) and that gave me 135 thank you :)

14. anonymous

Yes that's right. @Juicy1116 :)

15. anonymous

I also wanted to know is the first problem similar to this way I worked it out

16. anonymous

17. anonymous

Like what Mertsj said, the formula is the inscribed angle = 1/2(the intercepted arc).

18. anonymous

Or if you don't want to deal with fractions,$2\times m∠C=arc AB$

19. anonymous

l|dw:1438476983732:dw|

20. anonymous

Hmm do you mean like this I'm kinda lost :(

21. anonymous

You flipped the arc and the angle.

22. anonymous

What is the measure of angle C?

23. anonymous

$\huge 2\times m∠C=arc AB$$\huge 2(3x+5)=16x$

24. anonymous

I hope you can find the x now.

25. anonymous

Did you get it?

26. anonymous

Not quite but I got 5 so I think that's right

27. anonymous

Do you know how to distribute 3 to 3x+5? What class are you taking?

28. anonymous

@mathway I'm trying to. Can you explain please

29. anonymous

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