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2 years ago

ABCD is a quadrilateral inscribed in a circle, as shown below:

Mathematics

2 answers:

Katarina [22]2 years ago

5 0

The equation that can be used to solve for angle A is (x+16)° + (6x-4)° = 180°. The correct option is the first option- (x+16) + (6x-4) = 180

<h3>Circle Geometry </h3>

From the question, we are to determine the equation that could be used to solve for angle A

From one of the circle theorems

Opposite angles of a <u>cyclic quadrilateral</u> are supplementary

That is,

∠A + ∠C = 180°

∴ (x+16)° + (6x-4)° = 180°

Hence, the equation that can be used to solve for angle A is (x+16)° + (6x-4)° = 180°. The correct option is the first option- (x+16) + (6x-4) = 180

Learn more on Circle Geometry here: brainly.com/question/9172423

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denpristay [2]2 years ago

4 0

Answer:

(x + 16) + (6x − 4) = 180

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, opposite angles are supplementary, meaning they add to 180 degrees.

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3 years ago

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Blizzard [7]

Answer:

(1, 3)

Step-by-step explanation:

Solve the following system:

{y - x = 2 | (equation 1)

{x + y = 4 | (equation 2)

Add equation 1 to equation 2:

{-x + y = 2 | (equation 1)

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Divide equation 2 by 2:

{-x + y = 2 | (equation 1)

{0 x+y = 3 | (equation 2)

Subtract equation 2 from equation 1:

{-x+0 y = -1 | (equation 1)

{0 x+y = 3 | (equation 2)

Multiply equation 1 by -1:

{x+0 y = 1 | (equation 1)

{0 x+y = 3 | (equation 2)

Collect results:

Answer: x = 1, y = 3

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3 years ago

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Of the songs in ivan's music library, 4/5 are rock songs. of the rock songs, 3/4 feature a guitar solo. what fraction of the son

BigorU [14]

In this case this "of" means we will multiply the two fractions "4/5 × 3/4" exists 3/5.

<h3>What are fractions?</h3>

That operation exists utilized to 'simplify' a fraction (reduce it to lower terms).

When there exists no number that goes into both the top and bottom numbers, then the fraction is in simplest form (lowest terms).

We are looking for 4/5 of 3/4. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply

top × top and bottom × bottom

4/5 × 3/4 exists 4 × 3 on top and 5 × 4 on the bottom.

= (4 × 3)/(5 × 4)

= 12 / 20

= 3 / 5

Therefore, the correct answer is 3/5.

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2 years ago

Lisa sold 4 times as many candy bars as Tim. Lisa sold 24 candy bars. How many more candy bars did Lisa sell than Tim?

Ostrovityanka [42]

Answer:

Step-by-step explanation:

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18 +6 = 24 there is the answer

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3 years ago

What information does the mode of a data set provide?

Ira Lisetskai [31]

Answer:

The frequency of a number

Step-by-step explanation:

The mode in a data set provides how frequent a number in a data set appears.

For example, take the following data set:

1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10

The mode of this data set would be 3.

This is because 3 is repeated more frequently in the data set than any other number.

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I hope this helps!

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3 years ago