Question

Circles M and K are congruent and QR ≅ LN . Find QR.

Answer 1

if the circles are congruent, then they have equal radii

Answer 2

so if M is the center of circle M and K is the center of circle K, then MQ = KN

Answer 3

Similarly, we can show that MR = KL

Answer 4

see where this is going?

Answer 5

it can be solved by putting both the arms equal and therefore x= 8 now you can find QR

Answer 6

its given that l(QR) = l(LN).
which implies that 5x - 7 = 3x + 9
solve this eq to get the value of x. then substitute it in 5x-7 and u'll find the length of QR.

Answer 7

5x-7=3x+9
-3x -3x ?

Answer 8

sure. u can proceed that way. so now u have, 2x-7=9. now add 7.

Answer 9

2x-7=6x?

Answer 10

i mean 9x?

Answer 11

no. it'll only be 9. not 9x.
u're exp is this:
3x + 9 - 3x..............what will this give u?

Answer 12

5x-7=3x+9
-3x -3x
3x + 9 - 3x
add 3x?

Answer 13

no no...see, u're subtracting 3x from both sides right? so what u're doing is
LHS:
5x-7
- 3x
------
2x - 7

RHS:
3x + 9
- 3x
-----------
9

u got it?

Answer 14

that is rhs and lhs i confused

Answer 15

LHS = left hand side of the eq
RHS = right hand side of the eq.

Answer 16

still confused?

Answer 17

5x-7 =3x + 9
- 3x -3x
2x - 7+9

Answer 18

oh gosh!! @coolaidd take an attempt to solve it your own....it will be easier!!

Answer 19

how about you stop commenting on my post..clearly i am working thorugh it..this is between me and @Vaidehi09

Answer 20

thanks..

Answer 21

yes u got it ryt this time. so now u have
2x-7 = 9, right?

Answer 22

yes..do i add 7?

Answer 23

yup. go ahead.

Answer 24

5x-7 =3x + 9
- 3x -3x
2x - 7+9
+7 +7
2x=16
2 2
x=8

Answer 25

okay @coolaidd my apologies i didn't mean it that way...

Answer 26

yea, that's it!

Answer 27

@coolaidd so now just sub the value of x and find out l(QR).

Answer 28

thanks!