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kirill [66]
3 years ago
14

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 C? (x + 16) + (x) = 180 (x + 16) + (6x − 4) = 180 (x + 16) − (2x + 16) = 180 (x + 16) + (x) = 90
Mathematics
1 answer:
kogti [31]3 years ago
5 0

Answer:

B. (x + 16) + (6x − 4) = 180

Step-by-step explanation:

The Cyclic Quadrilateral Theorem states that for a quadrilateral in a circle, the opposite angles will equal 180 degrees. So therefore you can conclude:

∠A + ∠C = 180° which would be (x + 16) + (6x - 4) = 180°

∠B + ∠D =180° which would be x + (2x - 16) = 180°

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Use the drop-down menus to choose steps in order to correctly solve<br> 4k−6=−2k−16−2 for k.
RoseWind [281]

From figure 1: -

From figure 2: 12

From figure 3: 6

From figure 4: -12

From figure 5: -2

Step-by-step explanation:

We need to solve the equation 4k-6=-2k-16-2 for k.

Solving:

4k-6=-2k-16-2\\4k-6=-2k-18\\4k=-2k-18+6\\4k=-2k-12\\4k+2k=-12\\6k=-12\\k=\frac{-12}{6}\\k=-2

So, the options to be selected are:

From figure 1: -

From figure 2: 12

From figure 3: 6

From figure 4: -12

From figure 5: -2

Keywords: Solving equations

Learn more about Solving equations at:

  • brainly.com/question/1616605
  • brainly.com/question/2586096
  • brainly.com/question/4046256

#learnwithBrainly

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adoni [48]

Answer:

There must he a circulation. May not be causation.

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The first quartile in a box-and-whisker plot would be located on what number?
astraxan [27]

Answer:

24.5

Step-by-step explanation:

When you round it you get 25. (sorry if im wrong) :(

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