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3 years ago

Line segment SU is a diameter of circle V.

Mathematics

2 answers:

White raven [17]3 years ago

8 0

Answer:

<em>Answer: 112°</em>

Step-by-step explanation:

<u>Angles in a Circle</u>

An inscribed angle is formed between two chords whose vertices lie on the circumference of a circle. The figure shows three chords: TU, SU, and ST. SU happens to also be a diameter because it goes through the center of the circle V.

ST and SU form an inscribed angle of 34°. The corresponding central angle is TVU and its measure is

$m\angle TVU=2*34^\circ=68^\circ$

The required measure of the arc ST is the measure of the angle SVT. Note that SVT and TVU are complementary, thus:

$m\angle TVU+m\angle SVT=180^\circ$

Solving for the measure of SVT:

$m\angle SVT=180^\circ-m\angle TVU$

$m\angle SVT=180^\circ-68^\circ=112^\circ$

Answer: 112°

Verizon [17]3 years ago

8 0

Answer:

A. 56 degrees

Step-by-step explanation:

Just took the Unit Test on Edg (2021)!!

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3 years ago

The price of a train ticket from Orlando to Atlanta is normally $118.00. However, the train company is offering a special 75% di

pogonyaev

Answer:

$88.50

Step-by-step explanation:

118*0.75 = 88.50

8 0

3 years ago

PLEASE HELP! A juice company gives prizes to anyone finding specially marked caps on its juice bottles. You and your friends buy

laiz [17]

The odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

<h3>What is odds against?</h3>

In probability, the term odds against is the ratio of probability of non occurring a favorable event to the probability of occurring a favorable event. It can be given as,

$\text{odd against}=\dfrac{P(\overline A)}{P(A)}$

Here, $P(\overline A)$ is the probability of not occurring a favorable event, and P(A) is the probability of occurring a favorable event.

A juice company gives the prizes to anyone finding specially marked caps on its juice bottles. The 4 bottles have winning cap in 20 bottles. Thus, the probability of winning is,

$P(A)=\dfrac{4}{20}\\P(A)=\dfrac{1}{5}$

The probability of not winning is,

$P(\overline A)=1-\dfrac{1}{5}\\P=\dfrac{4}{5}$

Thus, the odd against the winning is,

$\text{odd against}=\dfrac{\dfrac{4}{5}}{\dfrac{1}{4}}\\\text{odd against}=\dfrac{16}{5}\\\text{odd against}=3.2$

Thus, the odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

Learn more about the odds against here;

brainly.com/question/1870238

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7 0

2 years ago

The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House

irakobra [83]

So here's the solution to the problem:

Calculate the average sell:

1,700 * $25 = $42,500 (revenue)

And if the Opera House wants to increase their revenue:

The price of a ticket will be:

$25 - x (where x is the number of 1-dollar decreases)

The number of tickets in total:

1,700 + 200x

Therefore the equation is:

(1,700 +200x) * ( 25 - x ) = 55,000

We can also solve this equation, but the solutions are not whole numbers.

x 1 = 5.89 and x 2 =10.6

For x = 6 (6 times 1 - dollar decreases):

( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18

=2,900 *19 = 55,100 (we will yield the revenue over $55,000)

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3 years ago

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ra1l [238]

Answer:

Step-by-step explanation:

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3 years ago