The figure shows a circle circumscribed around a triangle.

Triangle U T V is inscribed within a circle. A point is at the center of the triangle. Lines are drawn from the points of the triangle to the point in the middle. Lines are drawn from the point in the middle to the sides of the triangle to form right angles.

What is constructed first when creating the circle?

perpendicular segments to the vertices of the triangle
perpendicular bisectors of the sides of the triangle
angle bisectors of each angle of the triangle
the incenter of the triangle

Answers

Answer 1

Option B is right perpendicular bisectors of the sides of the triangle

What circumcircle?

If we draw a circle through all the vertices of a triangle then the circle obtained is the circumcircle of the given triangle. We have in a triangle there are some properties inherent.

One is the perpendicular bisectors of all sides are concurrent. These three concur at a point called the circumcentre of the triangle.

When we draw a perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistant from A and B.

When we take the point of intersection of the perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C

In short, this is equidistant from all 3 vertices and hence is the centre of the circumcircle of triangle ABC

Therefore Option B is right perpendicular bisectors of the sides of the triangle.

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The Figure Shows A Circle Circumscribed Around A Triangle. Triangle U T V Is Inscribed Within A Circle.

Related Questions

Raj and Aditi like to play chess against each other. Aditi has won 12 of the 20 games so far. They decide to play more games.
How many more games will Aditi have to win to have a 70% winning record?
12 + x = 0.70(20 + x)
x = x equals StartFraction 20 Over 3 EndFraction is approximately 6.67. ≈ 6.67
She will have to win 7 more games to have a 70% winning record.
How many more games will Aditi have to win to have an 80% winning record?
The linear equation that models this is .
Aditi would have to win more games to have an 80% winning record.

Answers

The linear model is 12 + x = 0.80(20 + x)

Aditi would need to win is 20.

How many more games does Aditi have to win?

Given this linear model: 12 + x = 0.80(20 + x)

Take the following steps in order to determine the value of x:

Expand the bracket : 12 + x = 16 + 0.8x

Combine like terms: 16 - 12 = x - 0.8x

Add similar terms: 4 = 0.2x

Divide both sides by 0.2 : 4/ 0.2

x = 20

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Answer:

the first answer would be C and the second is B I  think

Step-by-step explanation:

based off what I just did so 20 is the second answer aka B lol

For f(x) = x^2 and g(x) = x^2 + 2, find the following composite functions and state the domain of each

Answers

Answer:

[tex]composite \: function \: is \: given \: as \: in \: two \: forms \\ \\ f(g(x))and \: g(f(x)) \: therefore \: f(g(x)) =( x {}^{2} ) {}^{2} + 2 \\ whereas \: g(f(x)) = (x {}^{2} + 2) {}^{2} \\ domain of \: f(x) = x {}^{2} is( \infty - \infty ) \: and \: domain \: of \: g(x) = x {}^{2} + 2 \: is \: also \: ( \infty - \infty )[/tex]

there are 400 beads of the same size. 35% are red. 2/5 of the remaining are blue. the rest are white. what fraction are there white beads?

Answers

Answer:

84/400

Step-by-step explanation:

First, divide 35 by 100 to get the decimal, 0.35. Then, multiply 0.35 x 400. You should get 140. Now the question says 2/5 of the remaining are blue. You need to multiply 2/5 x 140 to get 56. 56 are blue. So now subtract 56 from 140 to get 84. The answer (not in simplest form) is 84/400.

Jake kept track of the number of minutes it took him to assemble sandwiches at his
restaurant.
Number of
sandwiches
Minutes
1
3
2
4
4
5
6
6
7
7

Answers

45 is the correct answer for your phone

Counting by thousands, write five numerals from 1578 onwards.​

Answers

2578,3578,4578,5578,5678

Answer:

1578 + 1000 = 2578

2578 + 1000 = 3578

3578 + 1000 = 4578

4578 + 1000 = 5578

5578 + 1000 = 6578

help me please maths
A. 64
B. 1/12
C. 1/64
D. 12​

Answers

Answer:

Step-by-step explanation:

First, since they have the same base, you can join them. Because it is division, you have to subtract the exponents.

4^(-11/3 -(-2/3)) = 4^-9/3 = 4^-3

Negative exponents turn the base into a fraction and 4^3= 64

so the answer is C. 1/64

Helppp!!!
Lynn is putting tiles on her bathroom floor. Each tile measures 1 square foot each. The floor measures 4 1/2 ft by 3 3/4 ft. How many tiles will she need to cover the floor?

Answers

The number of tiles Lynn needs to cover the floor with an area of 16.875 ft² is 17 tiles

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The floor measures 4 1/2 ft by 3 3/4 ft.

Hence:

Area of floor = 4 1/2 ft * 3 3/4 ft = 9/2 ft * 15/4 ft = 16.875 ft²

Each tile measures 1 square foot each, hence:

number of tiles needed = 16.875 ft² / 1 ft² per tile = 16.875 tiles ≅ 17 tiles

The number of tiles Lynn needs to cover the floor with an area of 16.875 ft² is 17 tiles

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In which of the following intervals does the trigonometric inequality sec(x) < cot(x) always hold true.

Answers

The inequality for sec (x) < cot (x) is;  π/2 < x < π

How to express trigonometric inequality?

We are given that;

We want to find the intervals that the trigonometric inequality sec (x) < cot (x) always hold true.

This can also be expressed as;

1/cos (x) < 1/tan (x)

Now, this can happen only in the quadrant where tan (x) is negative and cos x is positive which is in fourth quadrant where;

π/2 < x < π

The inequality for sec (x) < cot (x) is;  π/2 < x < π

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Answer:

C on edge 22 for Pre-Calculus

Step-by-step explanation:

pi < x< 3pi/2

I retook the unit test, put C, and got a 100. I promise it's right

What is the volume of this rectangular prism? A rectangular prism with a length of 6 and one-fourth foot, width of 14 feet, and height of 3 feet.

Answers

Answer:

V = 262.5 ft.

Step-by-step explanation:

Volume = length × width × height

6.25 × 14 × 3

6.25 × 42

262.5

What is the slope and y-intercept of the equation represented by the following graph

Answers

Answer: C slope= 1/2 y-intercept =2

Step-by-step explanation:

An English teacher has equal numbers of fiction, literature, and poetry books.
Each day, she randomly selects one book to read from. She designs a
simulation to estimate the probability that the next three books she selects
are all literature.
Which simulation design could she use to estimate the probability?

Answers

The simulation design regarding the probability is:

Let 1, 3 = fiction.

Let 2, 4 = non fiction.

Let 5,6 = poetry

What is a simulation design?

It should be noted that a simulation design us used to make a particular prediction.

In this case, a number cube can be used to estimate the probability.

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The term at position n in a sequence is 3n
Work out the 4th term in this sequence.
(Hint: the 4th term is when n = 4)

Answers

Answer:

12

Step-by-step explanation:

3(4)=12

The 4th term of the sequence is 12.

What is Sequence?

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.

Given:

sequence, S(n): 3n

Now, to find the 4th term of sequence we have to put n= 4.

So, the term of sequence

S(4) = 3(4)

s(4) = 12

Hence, the 4th term is 12.

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The amount of algae covering the Smith's backyard pond doubled every day until it was completely covered in algae on day $30$ of the month. On what day of that month was $75%$ of the pond algae-free?

Answers

The day of the month that was 75% of the pond algae-free is: on day 28 or third day.

75% of the pond algae-free

Since we were told the algae  doubled every day until it was  covered in algae on day 30 of the month.

Hence:

Day 30 (First day)= It was 100% covered.

Day 29 (Second day)=It was 50% covered.

Day 28 (Third day )=it was 25% covered, which will be the same as 75% pond algae-free.

Therefore the day of the month that was 75% of the pond algae-free is: on day 28 or third day.

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The complete question is:

amount of algae covering the Smith's backyard pond doubled every day until it was completely covered in algae on day 30 of the month. On what day of that month was 75% of the pond algae-free?

What is the range of the function on the graph? O all real numbers Oall real numbers less than or equal to 1 O all real numbers less than or equal to 3 all real numbers less than or equal to 0​

Answers

The range of the function on the graph is (c) all real numbers less than or equal to 3

How to determine the range?

The missing graph is added as an attachment

From the graph, we have the following highlights

The highest y value is 3Other y values do not exceed 3

This means that the range is (c) all real numbers less than or equal to 3

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Please do these questions for me separately(in the picture)

Answers

Based on the cost of each of the snacks in a s'more, the number that the summer camp counselor can make is E.10.

The total change in temperature on the surface of Mercury is C. 1,168°F.

What is the total s'mores that can be made?

First, find out the cost of one s'more:
= (2 x 0.50) + 0.75 + (2 x 1.25)

= 1 + 0.75 + 2.50

= $4.25

The total s'mores that can be made is:

= 45 / 4.25

= 10 complete s'mores

What is the change in temperature?

= 869 - (-299)

= 869 + 299

= 1,168°F

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Question 4 of 10
Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
A. There can be no term whose degree is higher than 2.
OB. The coefficient of the x²-term can't be zero.
C. The coefficient of the x²-term must be positive.
D. One side of the equation must be zero.

Answers

The condition that must not be met before usage us that the coefficient of the x²-term must be positive.

Equations of quadratic function

The standard quadratic function is given as;

ax²+bx + c = 0

From the equation shown above, the leading degree of the equation is 2. The following are condition that must be met before you can use

the quadratic formula to find the solutions of an equation.

There can be no term whose degree is higher than 2.The coefficient of the x²-term can't be zero.

The condition that must not be met before usage us that the coefficient of the x²-term must be positive.

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Samuel bought presents for 40 cents, 50 cents, 60 cents, and 70 cents. How much money did he spend in all? ​

Answers

Answer:

$2.20

Step-by-step explanation:

100 cents= $1

70+60= 130. Move the decimal to the left twice to get $1.30.

50+40= 90 cents

90+30= $1.20+ the 1 dollar from before and you get $2.20

Answer: 220

Step-by-step explanation:

40+50+60+70= 220

Because the questions says in all we have to add it all together.

I don’t know how to start to go about this. Any suggestions would be greatly appreciated. How do I go about finding X?

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 7° [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Since the two triangles are congruent, their corresponding sides and angles should be equal to one another too.

That means : Angle ADB = Angle CDB.

[tex]\large \textsf{Solve for x } [/tex]

[tex]\qquad \tt \rightarrow \:7x = 49 \degree[/tex]

[tex]\qquad \tt \rightarrow \:x = \cfrac{ 49 \degree}{7}[/tex]

[tex]\qquad \tt \rightarrow \:x = { 7 \degree}{}[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Which compares the medians of the data? the median for the students is 4 and the median for the teachers is 8. the median for the students is 2 and the median for the teachers is 3. the median for the students is 4 and the median for the teachers is 3. the median for the students is 2 and the median for the teachers is 8.

Answers

(B) The median for the students is 2 and the median for the teachers is 3, comparing the medians of the data.

What is a median?The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data set. The main difference between the median and the mean in summarizing data is that the median is not skewed by a tiny fraction of exceptionally big or small values, and thus provides a better depiction of a "typical" value. Because income distribution can be distorted, median income may be a better approach to illustrate what a "normal" income is.

Therefore, the median for the students is 2 and the median for the teachers is 3, comparing the medians of the data.

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Correct question:

Which compares the medians of the data?

(A) The median for the students is 4 and the median for the teachers is 8.

(B) The median for the students is 2 and the median for the teachers is 3.

(C) The median for the students is 4 and the median for the teachers is 3.

(D) The median for the students is 2 and the median for the teachers is 8.

hey can you please give me the answer to this?

Answers

The height of the tower is 452.66 ft

What is angle of elevation and depression?

The angle formed by the line of sight and the horizontal plane for an object above the horizontal.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.

Given:

we have two angles one of which is angle of elevation and another angle depression.

Using trigonometric ratio,

tan ∅ = P / B

tan 32° = h / 425

0.624= h /425

h= 265.569 ft

again,

tan 29° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 29°

h(bottom of the tower)  = 235.581 ft

Thus, Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 265.569  + 235.581

Height of tower = 501.15 ft

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The ratio of vina's age to jill is 7:6.if vina is 4 years older than jill,how old is jill

Answers

jill is 24 years old.

What is ratio ?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls).

The ratio of vina's age to jill is 7:6 .

      Let vina's age =7x

      let jill's age = 6x

If vina is 4 years older than jill.

Then ,                   7x - 6x = 4

                                  x = 4

Now  vina's age = 7x = 7 * 4 = 28 years

          jill's age = 6x = 6 * 4 = 24 years.

Therefore, jill is 24years old.

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find the area of the shaded regions.

Answers

Answer: [tex]7\pi[/tex]

Step-by-step explanation:

The area of the entire circle is [tex](\pi)(3^{2})=9\pi[/tex]

The area of each of the smaller circles is [tex](1^{2})(\pi)=\pi[/tex], so their combined area is [tex]2\pi[/tex].

By subtracting areas, we get the area of the shaded region is [tex]7\pi[/tex].

find the midpoint of the segment with end points (-2,-1) and (0,9)

Answers

Answer:

-1 , 4

Step-by-step explanation:

x = ( -2 + 0 ) ÷ 2

y = ( -1 + 9 ) ÷ 2

-2 ÷ 2 = -1

8 ÷ 2 = 4

( -1 , 4 )

If the long hand of a clock is 11 and short hand is 9what is the time .help please​

Answers

9:55, am or pm. This can be am or pm because the question never specified

What is the total number of digits used when the first 2002 positive even integers are written?

Please help, 25 points.

Answers

The total number of digits used when the  first 2002 positive even integers are written is 4 digits

How to find the number of sequence?

Using arithmetic sequence,

nth term = a + (n - 1)d

where

a = first termd = common differencen = number of terms

a = 2

d = 2

nth term = 2 + (2002 - 1)2

nth term = 2 + 4002

nth term = 4004

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Divide:

5 x minus 8 StartLongDivisionSymbol 45 x squared minus 42 x minus 48 EndLongDivisionSymbol

Which of the following represents the length of the rectangle?


9x - 48

9x - 23

9x - 6

9x + 6

Answers

The length of the Rectangle is 9x +6 , Option D is the right answer.

What is a Rectangle ?

A rectangle is a polygon with four sides , four angles and four vertices , The opposite sides are parallel and equal .

An expression representing the area of Rectangle is given

One of the side is 5x -8

The other side =  ?

As Area of Rectangle =  Length * Breadth

It can be calculated by Dividing Area by Breadth

(45x² - 45x -48 ) / (5x -8)

= 9x +6

Therefore the length of the Rectangle is 9x +6 ,Option D is the right answer.

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Answer:

9x + 6
INCLUDED WHOLE PAGE!!

EDGE2022; Good Luck :3!!!

Find the area of a rhombus.
4
30°

Answers

Answer:

[tex]13.86[/tex]

Step-by-step explanation:

you should see 2 triangles with angle 60 bounded by two equal sides of 4

[tex]=2(\frac{1}{2} (4)(4)sin 60)\\=13.86[/tex]

You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below.

Hot Chocolate Sales and Outside Temperatures
Sales ($) $100 $213 $830 $679 $209 $189 $1,110 $456 $422 $235 $199
Temperature (°F) 92° 88° 54° 62° 85° 16° 52° 65° 68° 89° 91°
how would you describe the correlation in the data? Explain your reasoning

Answers

Answer:

There is a negative correlation.

Step-by-step explanation:

The point on the scatter plot are downwards sloping. This implies that there is a negative relationship between the variables temperature and sales. Thus, there is a negative correlation.

Please answer the given question

Answers

there are total 64 is the answer if she puts 2 cookies in each packet

hope this helps u :)

42 = 2 • 3 • 7 = 2 • 21
86 = 2 • 43
Then
GCF(86 , 43) = 2
Then the greatest number of packages, she can make is 2
Each has 21 sugar cookies and 43 chocolate chips cookies.

A salesperson earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns $4,800. A person selling 8 cars and 1 truck earns $4,600. How much does a salesperson earn for selling 2 cars and 3 trucks?

$2,500
$2,700
$2,800
$3,000

Answers

4800 divide by 3=1600 (2 cars 1 truck)

4600-1600-3000 (6 cars)

3000 divide by 3 = 1000(2cars)

1000 times 2=2000(4 cars )

4800-2000-2800 (2 cars 3 trucks)

$2,800 is your answer
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