## Ammarah 2 years ago Find the value of x in the circle. Explain your reasoning.

1. Ammarah

|dw:1361850022162:dw|

2. jim_thompson5910

so you are saying EF = 15 units and HG = 15 units ?

3. Ammarah

yes

4. jim_thompson5910

these two triangles are congruent by the HL property |dw:1361850491541:dw|

5. jim_thompson5910

so AQ = QB by CPCTC so 4x - 1 = x+8

6. Ammarah

ohhh i was doing it equal to 15!!

7. jim_thompson5910

no, those 15s really play no part in finding x, just in showing that the two triangles are congruent

8. Ammarah

ohhlk so the answer is 7

9. jim_thompson5910

x is not 7

10. Ammarah

then wat?

11. jim_thompson5910

4x - 1 = x+8 4x - x = 8 + 1 3x = 9 x = ?

12. Ammarah

x=3

13. Ammarah

the answer in my book says 7/3

14. Mertsj

Congruent chords are equidistant from the center of a circle.

15. jim_thompson5910

must be a typo since it's just x = 3

16. Ammarah

ok....i guess ur right

17. Ammarah

i need more help

18. Mertsj

Are you sure it is not 4x+1 in your picture?

19. Ammarah

YEAH ITS 4x +1

20. Mertsj

So now, when you equate the distances from the center, you will get 7/3 for x.

21. jim_thompson5910

oh that makes more sense now