ABCD is a quadrilateral inscribed in a circle, as shown below: Circle O is shown with a quadrilateral ABCD inscribed inside it. Angle A is labeled x plus 16. Angle B is labeled x degrees. Angle C is labeled 6x minus 4. Angle D is labeled 2x plus 16. What equation can be used to solve for angle B? (x + 16) − (6x − 4) = 180 (x + 16) + (x) = 90 (2x + 16) + (x) = 180 (x + 16) − (x) = 90

Answer: (2x+16)+(x)=180.

Explanation:
In the given diagram, angles A and C are opposite angles of the cyclic quadrilateral and add up to 180°.
Also, angles B and D are opposite angles of the cyclic quadrilateral and add up to 180°:
B+D=180°.
From the diagram:
B=(x)° and D=(2x+16)°;
(x)°+(2x+16)°=180°.
Hence, the equation that can be used to solve for angle B is (2x+16)+(x)=180.

Step-by-step explanation:

The question is incomplete. I attached the picture for the exercise.

For a quadrilateral inscribed inside a circle, the sum of the opposite internal angles must be equal to 180.

For example, the angle A plus the angle C must be 180 degrees.

In an equation :

For the angle D :

Therefore

C. (2x + 16) + (x) = 180°

Step-by-step explanation:

See attachment for the cyclic quadrilateral

One theorem of cyclic quadrilateral states that; opposite angles = 180°

In the attachment, the angle opposite B is D

Where B = x

D = 2x + 16

From the theorem stated above;

B + D = 180°

Substitute the values of B and D in the formula above

x + 2x + 16 = 180

From the list of given options, the correct answer is C

C. (2x + 16) + (x) = 180°

Step-by-step explanation:

See attachment for the cyclic quadrilateral

One theorem of cyclic quadrilateral states that; opposite angles = 180°

In the attachment, the angle opposite B is D

Where B = x

D = 2x + 16

From the theorem stated above;

B + D = 180°

Substitute the values of B and D in the formula above

x + 2x + 16 = 180

From the list of given options, the correct answer is C

Option 4: (2x + 16)° + (x)° = 180°

Step-by-step explanation:

See the attached figure.

For a quadrilateral inscribed in a circle

The opposite angles are supplementary.

So, ∠D + ∠B = 180°

From the figure:

∠B = x°  and ∠D = (2x+16)°

∴  (2x + 16)° + (x)° = 180°

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

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The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

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