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Help naman po dito sa math. Refer to the circle to answer the items below.​

Help Naman Po Dito Sa Math Refer To The Circle To Answer The Items Below class=

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Please note that both lines of the figure passes at center of the circle which means that they are equal in length.

3.) If ES = 5x - 7.5 ; CS = 3x + 1.5, find ES

Solution:

ES = CS

5x - 7.5 = 3x + 1.5

5x - 3x = 1.5 + 7.5

2x = 9

x = 9/2

x = 4.5

ES = 5x - 7.5

ES = 5(4.5) - 7.5

ES = 22.5 - 7.5

ES = 15

Answer:

ES = 15

4.) If FS = 3x + 6.5 and AS = 5x - 0.5, find SC

Solution:

FS = AS

3x + 6.5 = 5x - 0.5

3x - 5x = -0.5 - 6.5

-2x = -7

x = 7/2

x = 3.5

FS = 3x + 6.5

FS = 3(3.5) + 6.5

FS = 10.5 + 6.5

FS = 17

AS = 5x - 0.5

AS = 5(3.5) - 0.5

AS = 17.5 - 0.5

AS = 17

FS = AS = SC = 17

SC = 17

Answer:

SC = 17

5.) If CS = 2x - 3 and AS = 3x - 11, find FC

Solution:

CS = AS

2x - 3 = 3x - 11

2x - 3x = -11 + 3

-x = -8

x = 8

CS = 2x - 3

CS = 2(8) - 3

CS = 16 - 3

CS = 13

FC = 2CS

FC = 2(13)

FC = 26

Answer:

FC = 26

6.) If ES = 3x + 5 and FS = 2x - 3, find EA

Solution:

ES = FS

3x + 5 = 2x - 3

3x - 2x = -3 - 5

x = -8 absolute

x = 8

ES = 3x + 5

ES = 3(-8) + 5

ES = -24 + 5

ES = -19 absolute

ES = 19

FS = 2x - 3

FS = 2(-8) - 3

FS = -16 - 3

FS = -19 absolute

FS = 19

EA = 2ES

EA = 2(-19)

EA = -38 absolute

EA = 38

Answer:

EA = 38

7.) If ES = 2x - 3 and CF = 3x + 8, find ES and CF

Solution:

CF = 2ES

3x + 8 = 2(2x - 3)

3x + 8 = 4x - 6

3x - 4x = -6 - 8

-x = -14

x = 14

ES = 2x - 3

ES = 2(14) - 3

ES = 28 - 3

ES = 25

CF = 3x + 8

CF = 3(14) + 8

CF = 42 + 8

CF = 50

Answer:

ES = 25

CF = 50

8.) If CS = x + 12 and AE = 4x - 12, find CS and AE

Solution:

AE = 2CS

4x - 12 = 2(x + 12)

4x - 12 = 2x + 24

4x - 2x = 24 + 12

2x = 36

x = 36/2

x = 18

AE = 4x - 12

AE = 4(18) - 12

AE = 72 - 12

AE = 60

CS = x + 12

CS = 18 + 12

CS = 30

Answer:

CS = 30

AE = 60

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