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siniylev [52]
3 years ago
10

Please Help!

Mathematics
2 answers:
vivado [14]3 years ago
3 0

<u>Given</u>:

Given that O is the center of the circle.

The lines XZ and YZ are the tangents of the circle.

The length of the major arc XY is a.

The length of the minor arc XY is b.

We need to determine the equation that is correct regarding the diagram.

<u>Equation:</u>

Since, we know the property, that "if the measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs."

Hence, applying the property, we get;

m\angle XZY=\frac{major \ arc \ XY - minor \ arc \ XY}{2}

Substituting the values, we get;

m\angle XZY=\frac{1}{2}(a-b)

Therefore, the equation that is correct regarding the given diagram is m\angle XZY=\frac{1}{2}(a-b)

Hence, Option b is the correct answer.

Andreyy893 years ago
3 0

Answer:

B) m∠XZY = One-half(a – b)

Step-by-step explanation:

Angles XOY and XZY add up to 180

b + XZY = 180

b = 180 - XZY

a + b = 360

½(a + b) = 180

b = ½(a + b) - XZY

XZY = ½(a + b) - b

XZY = ½a - ½b

XZY = ½(a - b)

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Answer:

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Step-by-step explanation:

Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.

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I need help on this question
Rina8888 [55]

Lower quartile (xL): 20

7 0
3 years ago
The answer to this problem?
LenaWriter [7]

The simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

<h3>How to simplify the expression?</h3>

The expression is given as:

\sqrt{\frac{162x^9}{2x^{27}}}

Divide 162 and 2 by 2

\sqrt{\frac{81x^9}{x^{27}}}

Take the square root of 81

9\sqrt{\frac{x^9}{x^{27}}}

Apply the quotient rule of indices

9\sqrt{\frac{1}{x^{27-9}}}

Evaluate the difference

9\sqrt{\frac{1}{x^{18}}}

Take the square root of x^18

\frac{9}{x^9}

Hence, the simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

Read more about expressions at:

brainly.com/question/723406

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1 year ago
Brielle’s piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. If Brielle
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