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Arturiano [62]
3 years ago
7

Quadrilateral ABCD is inscribed in circle Pas shown. Which statement is necessarily true?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Given:

Quadrilateral ABCD is inscribed in a circle P.

To find:

Which statement is necessarily true.

Solution:

Quadrilateral ABCD is inscribed in a circle P.

Therefore ABCD is a cyclic quadrilateral.

In cyclic quadrilateral, opposite angles form a supplementary angles.

⇒ m∠A + m∠C = 180° --------- (1)

⇒ m∠B + m∠D = 180° --------- (2)

By (1) and (2),

⇒ m∠A + m∠C = m∠B + m∠D

This statement is necessarily true for the quadrilateral ABCD in circle P.

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The length of a rectangle is 5/6 ft. The width is 3/8 ft.How much greater is the length of the rectangle than the width? Express
Oduvanchick [21]
5/6 ft. : 3/8 ft. =
(5/6)  * (8/3) = (5*8)/(6*3) =40/18=20/9=(18+2)/9=2+(2/9)=2,2.....=2,(2)






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3 years ago
What is the sum of a common geometric series if the first term is 8 and the common ratio is 1/2?
stealth61 [152]

Answer:  A

Step-by-step explanation:

The sum to infinity of a geometric series is

S (∞ ) = \frac{a}{1-r} ( - 1 < r < 1 )

where a is the first term 8 and r is the common ratio, hence

S(∞ ) = {8}{1-\{1}{2} } = {8}{1}{2} } = 16

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Edward is collecting data on the average length of lizards from head to tail for a particular generation. Initially, the average
Zina [86]

Answer:

The general form of a natural logarithmic function is <em>f(x)=a In(x-h) +k.</em> Since the initial average length of the lizards was 20 centimeters, one possible point (h+1,k) through which the function passes is (0,20).

In this case, h= -1 since h +1 = 0 and k = 20.

It follows that x - h = (-1) = x + 1.

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The average length of the lizards after 2 years is 22.197. So f(2) =22.197. We substitute this value into the function

Step-by-step explanation:

<em>f(2) = a In(2 +1) +20 </em>

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<em></em>\frac{2.197}{1.099}<em>≈ a </em>

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3 0
3 years ago
A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises
Firdavs [7]

Answer:

the required equation is; y = 21 sin(πt/6)

Step-by-step explanation:

Given the data in the question;

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minimum = 21 ft

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we substitute

y = 21 sin(πt/6)

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If one gallon of paint covers 825 sq. ft how much paint is needed to cover 2640 sq ft
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