## alainabbyboo22 3 years ago I am so confused on this .. can someone please help me out on how to solve the equation listed ? Find the value of x in the figure below. A. 1/4 B. 1 C. 4 D. 6

1. alainabbyboo22

2. goformit100

i got

3. alexandercpark

the radius of a circle will always hit a chord at a right angle, and always bisect the line this is all just a fancy way of saying though that \[3x+5=5x-7\]

4. alexandercpark

my geometry lingo is rusty but im confident that can lead you to the right answer

5. goformit100

|dw:1350956332066:dw| do you agree with that you can use pythagoras' theorem here ??

6. goformit100

|dw:1350956574279:dw|

7. goformit100

in triangle ABC, reply how will you use pythgors' theorem

8. goformit100

(OA)^2 = (OB)^2 + (BA)^2 OR, (OA)^2 = (OB)^2 + (5X-7)^2 ......... .......... ( 1 )

9. goformit100

n triangle OBC, use pythgors' theorem

10. goformit100

(OC)^2 = (OB)^2 + (BA)^2 OR, (OA)^2 = (OB)^2 + (3X+5)^2 ......... .......... ( 2 )

11. goformit100

REPLY WHAT YOU GET WHEN YOU EQUATE BOTH EQUATIONS 1 AND 2 .....

12. goformit100

13. goformit100

r you there ???

14. goformit100

(3X+5)^2 = (5X-7)^2 Solve it for x ...

15. jhonyy9

@goformit100 calcule you the x please ! good work nice

16. alainabbyboo22

help !

17. alainabbyboo22

could you please help me out with this ? i don't understand . @jhonyy9 help me ?

18. hba

Hint 1 >Apply Square root on both sides :)

19. jhonyy9

(3x+5)^2 =(5x-7)^2 make squarroot on both sides 3x+5=5x-7 5+7=5x-3x 12=2x x=12/2 x=6