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elena-14-01-66 [18.8K]
3 years ago
14

Let the measure of Arc B C D = a°. Because Arc B C D and Arc B A D form a circle, and a circle measures 360°, the measure of Arc

B A D is 360 – a°. Because of the ________ theorem, m∠A = StartFraction a Over 2 EndFraction degrees and m∠C = StartFraction 360 minus a Over 2 EndFraction degrees. The sum of the measures of angles A and C is (StartFraction a Over 2 EndFraction) + StartFraction 360 minus a Over 2 EndFraction degrees, which is equal to StartFraction 360 degrees Over 2 EndFraction, or 180°. Therefore, angles A and C are supplementary because their measures add up to 180°. Angles B and D are supplementary because the sum of the measures of the angles in a quadrilateral is 360°. m∠A + m∠C + m∠B + m∠D = 360°, and using substitution, 180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.
What is the missing information in the paragraph proof?
Mathematics
2 answers:
zepelin [54]3 years ago
5 0

Answer:

A

Step-by-step explanation:

inscribed angle

lesya [120]3 years ago
4 0

Answer:

A. Inscribed Angle

Step-by-step explanation:

Because the angles are inscribed in the circle, the angle lie on arcs which mean that the angles have to add up to 360 degrees just like a circle is 360 degrees, making it a quadrilateral that is inscribed!

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lara [203]

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7

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3 years ago
Kelly has to read a 15 page poem she has read 10 pages so far,what fraction of the poem did she read?
Free_Kalibri [48]

Answer:

Kelly has read 2/3 of the poem.

Step-by-step explanation:

If you divide the 10 pages she has read by the total 15 pages, you get 0.66. Another way to get this is to put 10 over 15. Divide both the numerator and denominator by 5 to get 2/3.

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Read 2 more answers
How are angles named?
Mama L [17]

Answer:

Acute angle, right angle, obtuse angle and reflex angle.

Step-by-step explanation:

Acute angle -

0° < θ < 90°

Right angle -

θ = 90°

Obtuse angle -

90° < θ < 180°

Reflex angle -

θ > 180°

4 0
3 years ago
$3000 is invested in an account earning 8% interest compounded annually. How much will there be in the account after two years?
pshichka [43]

Answer: 3,500

Step-by-step explanation:

6 0
3 years ago
The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S
monitta

Part A

The reason why the (√(-x)) is not necessarily undefined, is because x is a placeholder, such that x can take on a negative value for which  (-x) is a positive number, therefore, √(-x) = √(+ve number) is a defined real number.

Part B

The domain is x ≤ 0

The range is f(x) ≥ 0

<h3>What is Real Number?</h3>

A real number is a value of a continuous quantity that can represent a distance along a line.

Here, The given and required information:

Given that √(-144) = Undefined, why is √(-x) not necessarily undefined

The given function, f(x) = √(-x)

Part A

The square root of a real number with a negative value is an imaginary number

The square root of a real number with a positive value or zero, is a real number

√(144) = ±12

A variable, x, is an input value of a function that is a quantity place holder in the function which is a function argument

The given function is f(x) = √(-x)

Where;

x = An argument of the function

When x ≤ 0, such that x is a negative real number or zero, we have;

x = R⁻ or 0

Therefore;

-x= -R⁻ or 0 = R⁺ or 0

-x = R⁺

From which we get;

f(-x)= √(-x) = √(R⁺) = Defined

f(-x) = √(R⁺) ≥ 0 The range of the function is f(x) ≥ 0

An example, when x = -16, we have;

-x = -(-16) = 16

√(-x) √(16) = 4 (Defined)

Part B;

Thee domain where the function is defined is where x = -R⁻,  x ≤ 0

The output of the function f(x) is defined which is the range = f(x) ≥ 0

Thus, the reason why the √(-x) is not  necessarily undefined, is because the value of x can represent a negative real number or zero.

Learn more about real numbers here;

brainly.com/question/17201233

#SPJ1

6 0
2 years ago
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