Question

Circles M and K are congruent, QR is congruent to LN and OP is congruent to VW. Find x.
Answers:

-9

-11

-6

-3

Answer 1

Using OP congruent to VW:
\[-6x = -6y + 18 \rightarrow x = y - 3\]
Then QR being congruent to LN:
\[-2x = -3y + 3 \rightarrow -2(y-3) = -3y + 3 \rightarrow -2y + 6 = -3y + 3 \rightarrow y = -3\]
And plugging that into the first equation:
\[-6x = -6(-3) + 18 \rightarrow -6x = 36 \rightarrow x = -6\]

Answer 2

Wow, thank you if x is -6 then y would be...?

Answer 3

-3 (see the second line of equations)

Answer 4

Awesome could you help me out with a few more?

Answer 5

AB and BC are tangent to circle D. Find x if AB = x + 15 and BC = 2x – 5. Find x.
Answers:

18

21

19

20

Answer 6

AB and BC are congruent, so x+15 = 2x-5

Answer 7

Would that be 20?

Answer 8

yup

Answer 9

Ok 2 more

Answer 10

Find x .
Answers:
112
154
101
110

Answer 11

Angle AED is going to be 116°, AEB and DEC are 64°. Other than that, I don't know what to say.

Answer 12

You cant find x?

Answer 13

No worries tho can you figure out this one then?

Find angle A if DE is equal to 50 and BC is equal to 10
Answers:
30
20
40
50

Answer 14

@DDCamp

Answer 15

@ganeshie8

Answer 16

use this :-

outside angle = (far arc - near arc)/2

Answer 17

do you knw how to make out, what far arc and near arc are ?

Answer 18

yes I got 40?

Answer 19

divide it by 2

Answer 20

20 is the answer

Answer 21

Could you help with the question prior me or DDCamp can solve it? @ganeshie8

Answer 22

Find x .
Answers:
112
154
101
110

Answer 23

so you wanto find arc BC

Answer 24

no X @ganeshie8

Answer 25

x = arc BC = central angle BC

Answer 26

Oh then yes how do I find?

Answer 27

lets look at whats given.

Answer 28

we're given arc AD = 78

so, inscribed angle DBA = ?

Answer 29

156?

Answer 30

good guess, but no

Answer 31

39

Answer 32

yes, DBA = 39 --------------------(1)

Answer 33

now lets look at whats given again

Answer 34

we're given angle BEC = 116.

look at pic carefully,

BEC is the exterior angle in triangle AEB. so it equals to the sum of its remote angles :-

BEC = B + A

116 = 39 + A

A = ?

Answer 35

A=77 @ganeshie8

Answer 36

yes,

A = 77

but we need to find x

Answer 37

look at pic again,

A is the inscribed angle of central angle x.

use this relation :-

central angle = inscribed angle * 2

Answer 38

x = A*2
= 77*2

Answer 39

154?

Answer 40

yep!

Answer 41

Thank you so much!

Answer 42

np