a circle is centered on point B. Points a, c and d lie on its circumference.

if angle ADC measures 23°, what does angle ABC measure?

A Circle Is Centered On Point B. Points A, C And D Lie On Its Circumference. If Angle ADC Measures 23,

Answers

Answer 1

Answer:

[tex]m\angle ABC=46^o[/tex]

Step-by-step explanation:

step 1

we know that

The inscribed angle is half that of the arc it comprises.

so

[tex]m\angle ADC=\frac{1}{2}(arc\ AC)[/tex]

we have

[tex]m\angle ADC=23^o[/tex]

so

[tex]23^o=\frac{1}{2}(arc\ AC)\\arc\ AC=46^o[/tex]

step 2

we know that

Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it

so

[tex]m\angle ABC=arc\ AC[/tex] ----> by central angle

therefore

[tex]m\angle ABC=46^o[/tex]


Related Questions

define these terms

social reform

predestination

revival

Answers

Answer:social reform:is a kind of social movement that aims to make gradual change, or change in certain aspects of society, rather than rapid or fundamental changes.

                                                                                   predestination:The act of predestining or the condition of being predestined.                                                                                                                                                                         revival:is an act or instance of reviving or the state of being revived.

Answer:

Social Reform: A kind of social movement that aims to make gradual change, or change in certain aspects of society, rather than rapid or fundamental changes.                                                                                

Predestination: The act of predestining or the condition of being predestined.                                                                                                                                                                        

Revival: An act or instance of reviving or the state of being revived.

Tyler completely filled the Box shown below with unit cubes with no gaps or overlaps even counted the number of Cubes that he used to fill the Box what type of measurement is represented by the number of Cubes Tyler counted

Answers

Question:

The options are

A. area

B. height

C. volume

D. perimeter

Answer:

The correct option is;

C. volume

Step-by-step explanation:

Here we note that the size of the unit cube is 1 cubic unit

When the box is filled with the unit cubes the total number of unit cubes represent the volume capacity of the box into which the number of nit cubes are placed.

The volume is a quantity that is also represented by the product of the length, width and height dimensions of the cube.

i have to find the answer if 33% of 21

Answers

Answer:

6.93 is you're answer.

Step-by-step explanation:

6.93/21 = 33%

Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are _________________. So, _________________. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary. twice the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CDE = m∠CDE twice the measure of their intercepted arcs; marc CDE= 2 ⋅ m∠CFE and arc CFE = 2 ⋅ m∠CDE one half the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE one half the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CFE= m∠CDE

Answers

Answer:

one half the measure of their intercepted arcs.

m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE.

Step-by-step explanation:

Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are 1/2 the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE.

We can see the pic shown in order to understand the question.

:
Mario walked at a rate of 23 miles every 10 minutes.

​What was his walking rate in miles per hour?

Answers

Answer:

It might be 414 miles per hour. Sorry, I don't have an explanation for now, SO SORRY!

i need help with rhombus,rectangles and squares

Answers

Answer:

a= 11, b= 12

Opposite angles of parallelogram are equal.

m<D = m<B

9b-2=106°

9b= 108°

b= 12°

Sum of the adjacent angles of a parallelogram = 180°

m<B+m<C = 180°

106°+7a-3=180°

7a = 180°-106°+3

7a=77°

a= 11°

Which ordered pair is a solution of the equation?
- x - 4y = -10

Answers

Answer:

-10,0

Step-by-step explanation:

(-10,0)

There are many possible solutions. Here are some:
(-2,12) (2,2) (6,1) (10,0) (-6,4)

The expression 15p+12r shows the total cost of buying p printed shirts and r plain shirts find the total cost if you buy two printed shirts and three plain shirts

Answers

Final answer:

In Mathematics, we use algebraic expressions to solve problems. In this case, substituting the numbers of printed and plain shirts into the given expression determines the total cost, which is 66.

Explanation:

The subject of this question is in the discipline of Mathematics, specifically within algebraic expressions. The expression representing the total cost of buying shirts is 15p+12r, where p is the number of printed shirts and r is the number of plain shirts.

To find the total cost for buying two printed shirts and three plain shirts, we substitute p with 2 and r with 3 in the given expression.

So, the total cost becomes: 15*2 + 12*3 = 30 + 36 = 66. Therefore, the total cost of buying two printed shirts and three plain shirts is 66.

Learn more about Algebraic Expressions here:

https://brainly.com/question/953809

#SPJ12

Final answer:

The total cost of buying two printed shirts and three plain shirts can be calculated by substituting into the expression 15p + 12r. The result is a total cost of $66.

Explanation:

The student is asking how to calculate the total cost of buying printed and plain shirts. The expression to find the total cost is given as 15p + 12r, where p is the number of printed shirts and r is the number of plain shirts. To find the total cost for two printed shirts and three plain shirts, we substitute p with 2 and r with 3 into the expression, which gives us:

Total Cost = 15(2) + 12(3)

Total Cost = 30 + 36

Total Cost = 66

Therefore, if you buy two printed shirts and three plain shirts, the total cost would be $66.

Find the area os the rectangle TOUR

Answers

Answer:

The answer to your question is 80 units²

Step-by-step explanation:

Data

R = (-6, -6)

U = (6, -2)

O = (4, 4)

T = (-8, 0)

Process

1.- Find the distance between R and U, and the points U and O

dRU = [tex]\sqrt{6 + 6)^{2} + (-2 + 6)^{2}}[/tex]

dRU = [tex]\sqrt{12^{2} + 4^{2}}[/tex]

dRU = [tex]\sqrt{144 + 16}[/tex]

dRU = [tex]\sqrt{160}[/tex] = 12.65

dUO = [tex]\sqrt{(4 - 6)^{2} + (4 + 2)^{2}}[/tex]

dUO = [tex]\sqrt{(-2)^{2} + (6)^{2}}[/tex]

dUO = [tex]\sqrt{4 + 36}[/tex]

dUO = [tex]\sqrt{40}[/tex] = 6.32

2.- Find the Area

Area = base x height

-Substitution

Area = 12.65 x 6.32

- Result

Area = 80 units²

Which concept is used to prove that the opposite sides of a parallelogram are congruent?
congruent rectangles
similar rectangles
congruent triangles
similar triangles
1 Intro
Done

Answers

Answer:

  congruent triangles

Step-by-step explanation:

You can eliminate useless answers based on their wording. "Similar" anything cannot be used to prove congruence. "Rectangles" will not help you prove congruence of parallelogram sides. The only reasonable choice is ...

  congruent triangles

_____

Typically, a diagonal is drawn through the figure, and the two triangles created are shown to be congruent, often by ASA. Then, by CPCTC, sides of the parallelogram are shown to be congruent.

Answer: congruent

Step-by-step explanation:

what is 4+5????????????????

Answers

Answer:

9

Step-by-step explanation:

4+5=9

Answer:

9

Step-by-step explanation:

4 then add 5 lol

Someone please help me

Answers

Answer: -2 dab

Step-by-step explanation: add all the negatives = -40

Then add all positives +26

-40+26=-14 /7 numbers =-2

You have a bag of 12 marbles. Six are blue, two are green, three are yellow, and one is red. If you reach into the bag and pull out one marble, what is the probability that it will be yellow?

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

Given that:

blue marbles : 6 green marbles : 2yellow marbles: 3red marble: 1Total marbles: 12

If you reach into the bag and pull out one marble, so  the probability that it will be yellow is:

P (Yellow) = Number of yellow marbles in the bag / Number of marbles in the bag

= 3/12

= 1/4 or 25%

Hope it will find you well.

If the area of a circle is 36pi, what is the circumference

Answers

Answer:

113.1cm^2

Step-by-step explanation:

We know the area for a circle is pi * r^2, where r is the radius. We know the diameter, so all we need to do to find the radius is half the distance of the diameter, which would then be 6 cm. We plug in 6 as r, we get 36pi cm^2 as our exact answer. And a good approximation would be 113.1 cm^2.

Answer: 37.68

Step-by-step explanation:

First off our formulas are:

[tex]Area: A=\pi r^2\\Circumference: C=2\pi r[/tex]

Solve for r in the area formula.

[tex]A=\pi r^2\\r^2=\frac{A}{\pi} \\r=\sqrt[]{\frac{A}{\pi} }[/tex]

[tex]r=\sqrt[]{\frac{36\pi}{\pi} }[/tex]

[tex]r=\sqrt[]{36}[/tex]

r=6

Plug this into the circumference formula.

[tex]C=2\pi r\\C=2(3.14)(6)\\C=37.68[/tex]

drop down 8x – 2 – 5x + 7 =

Answers

Answer:

3x + 5

Step-by-step explanation:

Add like terms together:

8x - 2 - 5x + 7

3x - 2 + 7

3x + 5

x^2+3x−4=0 Solve for x. Write the smaller solution first, and the larger solution second.
smaller x=
larger x=

Answers

Answer:

smaller x: -4

larger x: 1

Step-by-step explanation:

We need to factor this. In order to do so, we need to find factor pairs of the coefficient of x^2 (which is 1 in this case) and of the constant (-4 in this case) such that they add up to 3.

Here, the factors of 1 are obviously just 1 and 1. The factors of -4 are (1, -4), (-1, 4), and (2, -2). Notice that 1 * 4 + 1 * (-1) = 3, so we know that our factor pair from 1 is (1, 1) and our factor pair from -4 is (-1, 4).

Then, we factor this quadratic into: (x - 1)(x + 4) = 0. Now, solve for x by setting each of these two factors equal to 0:

x - 1 = 0  ⇒  x = 1

AND

x + 4 = 0  ⇒  x = -4

So, the solutions are x = -4 and x = 1.

Hope this helps!

Answer:

smaller x= -4

larger x= 1

Step-by-step explanation:

x² + 3x - 4 = 0

x² + 4x - x - 4 = 0

x(x + 4) - (x + 4) = 0

(x - 1)(x + 4) = 0

x = -4, 1

A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the bag, what is the probability that the first marble will be green and the second will be red?

Answers

Answer:

0.083333333333 or 8.3%

Step-by-step explanation:

3/9x2/8

The second fractions has a demoninator of 8 bc u already took one from the bag and didnt return it

Answer:

1/12.

Step-by-step explanation:

There are a total of 9 marbles so

Prob(drawing first a green) = 3/9.

After drawing the green there are 8 marbles left in the bag, so:

Prob(drawing a red) = 2/8.

The required probability = 3/9 * 2/8

= 1/3 * 1/4

= 1/12.

Here is a list of numbers that my teacher drew out of a hat from 49 possible numbers over the last 11 days: {35, 2, 39, 24, 19, 21, 39, 14, 24, 43, 8}. For this set of data, determine the:
a.) mean
b.) median
c.) mode

Answers

Answer:

a) Mean = 24.4 to the nearest tenth.

b) Median = 24.

c) There are 2 modes 24 and 39.

Step-by-step explanation

First list the numbers in ascending order:

2, 8, 14, 19, 21, 24, 24, 35, 39, 39, 43.

There are a total of 11 numbers.

a) Mean = sum of the above / 11 = 268/11

= 24.4.

b) Median = the middle number = 24,

c) Mode The  numbers 24 and 39 occur twice so there are 2 modes.

The graph of the function f(x) = (x +2)(x + 6) is shown below.
What is true about the domain and range of the function?

A. The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
X B. The domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
C. The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
D. The domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.

Answers

D. The domain is all real numbers greater than or equal to -4, and the range is all real numbers such that -6

During the first 15 weeks of the 2016 season of a certain professional football​ league, the home team won 141 of the 241 ​regular-season games. Is there strong evidence of a home field advantage in this​ league? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before proceeding with the hypothesis test.

Answers

Answer:

The answer is 2.0190

Step-by-step explanation:

From the given question,

We recall that,

p = 141/241 = 0.5850

so, p = 0.5

The Hypothesis is:

H₀ : P = 0.5, this means that  H0:50% of the games played will be won

vs

H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.

n=241,x=141

Then,

SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421

z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190

therefore, there is strong evidence that there is home field advantages in professional football.

Following are the calculation to the hypothesis test:

[tex]\to \hat{p}= \frac{141}{241}=0.5850 \\\\\to p=0.5[/tex]

Hypothesis:

[tex]H_{0}:P=0.5[/tex] implies [tex]H_0:50\%[/tex] of a games would be won.

vs

[tex]H_{1}:P>0.5[/tex] because of home-field advantages, the victory exceeds  [tex]0.5[/tex] . [tex]\to n=241 \\\\\to x=141\\\\\to SD(p)=\sqrt{(\frac{p\times q}{n})}=\sqrt{(\frac{0.5\times 0.5}{241})}=\sqrt{(\frac{0.25}{241})}= \sqrt{0.001}=0.0322 \\\\\to z=\frac{\hat{p}-p}{SD(p))}=\frac{0.5850-0.5}{0.0322}=\frac{0.085}{0.0322}=1.624\\\\ \to P(Z>1.624)=0.0521879[/tex]

conclusion [tex]P-value =0.0521879<0.05[/tex], As a result, we reject the null hypothesis, i.e. there's really significant evidence that home-field advantage exists in pro football.

Learn more:

brainly.com/question/17854172

What are 3 equivalent ratios to 2/5

Answers

3 equivalent ratios can be:

4/10

6/15

8/20?

Answer:

10/25, 4/10, 20/50

Step-by-step explanation:

They all simplify to be 2/5.

SAT Scores 1510 1480 2100 1800 1300 1250 1400 1430 1390 1520 The SAT scores for a group of 10 students are shown. What is the mean absolute deviation of the group (round to the nearest tenth)

Answers

The mean absolute deviation of the group of SAT scores is approximately 169.8.

To find the mean absolute deviation (MAD) of the group of SAT scores, we follow these steps:

1. Calculate the mean (average) of the scores.

2. Find the absolute deviation of each score from the mean.

3. Calculate the mean of these absolute deviations.

Let's proceed with the calculations:

1. Calculate the mean:

[tex]\[ \text{Mean} = \frac{1510 + 1480 + 2100 + 1800 + 1300 + 1250 + 1400 + 1430 + 1390 + 1520}{10} \][/tex]

[tex]\[ \text{Mean} = \frac{14,580}{10} \][/tex]

[tex]\[ \text{Mean} = 1458 \][/tex]

2. Find the absolute deviation of each score from the mean:

[tex]\[ \text{Absolute deviations: } |1510 - 1458| = 52, |1480 - 1458| = 22, |2100 - 1458| = 642, |1800 - 1458| = 342, \][/tex]

[tex]\[ |1300 - 1458| = 158, |1250 - 1458| = 208, |1400 - 1458| = 58, |1430 - 1458| = 28, |1390 - 1458| = 68, |1520 - 1458| = 62 \][/tex]

3. Calculate the mean of these absolute deviations:

[tex]\[ \text{MAD} = \frac{52 + 22 + 642 + 342 + 158 + 208 + 58 + 28 + 68 + 62}{10} \][/tex]

[tex]\[ \text{MAD} = \frac{1698}{10} \][/tex]

[tex]\[ \text{MAD} = 169.8 \][/tex]

Therefore, the mean absolute deviation of the group of SAT scores is 169.8 (rounded to the nearest tenth).

The mean absolute deviation of the group of SAT scores is 162 (rounded to the nearest tenth).

To find the mean absolute deviation (MAD) of a set of data, you first need to calculate the mean (average) of the data, then find the absolute difference between each data point and the mean, and finally, calculate the average of these absolute differences.

Calculate the mean of the given SAT scores: (1510 + 1480 + 2100 + 1800 + 1300 + 1250 + 1400 + 1430 + 1390 + 1520) / 10 = 14660/10

= 1466

Calculate the absolute deviation of each score from the mean: |1510 - 1466|, |1480 - 1466|, and so on.

This gives - 44+14+634+334+166+216+66+36+76+54

= 1620

Calculating MAD -

= 1620/10

= 162

The mean absolute deviation of the group of SAT scores is 162 (rounded to the nearest tenth).

A cylindrical pond has a 12 ft diameter, and the water in the pond is 5 ft deep. Water is being drained from the pond at a rate of 1 cubic foot per minute. How long will it take to drain the pond

Answers

Answer:

=452.16 ft^3

It will take 452.16 min.

Step-by-step explanation:

x - 5y = -15 if x = -5

Answers

Answer:

If x= -5 y=2

Step-by-step explanation:

1. Plug in -5 in X then solve for Y

2. Solve for y

-5 - 5y = -15

-5y= -10

y= 2

Hope this helps!

Answer:

y = 2

Step-by-step explanation:

First, put the -5 in for x:

-5 - 5y = -15

Then, add five to both sides to get - 5y by itself:

-5y = -10

Finally, divide both sides by -5 to get y:

y = 2

The High Roller wheel in Las Vegas has a diameter of 520 feet and its base is 30 feet off the ground. You board a gondola on the wheel and rotate 240 degrees counterclockwise before the wheel temporarily stops. How high above the ground are you when the wheel stops?

Answers

Answer:

420 feet

Step-by-step explanation:

GIVEN: The High Roller wheel in Las Vegas has a diameter of [tex]520[/tex] feet and its base is [tex]30[/tex] feet off the ground. You board a gondola on the wheel and rotate [tex]240[/tex] degrees counterclockwise before the wheel temporarily stops.

TO FIND: How high above the ground are you when the wheel stops?

SOLUTION:

Consider the figure attached.

As wheel rotate counter clockwise [tex]240^{\circ}[/tex], its current position is [tex]120^{\circ}[/tex] clock wise.

Total height [tex]=260+30+h\rightarrow290+h[/tex]

Calculating value of [tex]h[/tex]

[tex]\sin 30^{\circ}=\frac{h}{260}\impliesh=260\sin30^{\circ}[/tex]

[tex]\implies h=260\times\frac{1}{2}=130feet[/tex]

Total height [tex]=290+130[/tex] feet

                    [tex]=420\text{ feet}[/tex]

Hence total height is 420 feet

A ball is thrown into a lake, creating a circular ripple that travels outward at a speed of 5 cm per second. Express the area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake. A = 25t A = 2576 A = Ar? A = 5t? None of the above

Answers

Answer:

The area of the circular ripple after t second is

A =25π t²

where A is in cm².

Step-by-step explanation:

Given that,

Circular ripple that travels outward at a speed of 5 cm per second.

It means that, the radius of the circular ripple increases at a seed 5 cm/ s.

Therefore the radius of the circular ripple after t seconds is

r(t)= 5t

where r(t) is in cm.

We know ,

The area of a circular object is = π r²

The area of the circular ripple after t second is

A= π(5t)²

 =25πt²

where A is in cm².

The area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake is A(t)= 25t²π

The formula for calculating the area of the circular ripple as a function of time is expressed as:

A(t) = πr(t)²

Given that the ripple travels outward at a speed of 5 cm per second, hence;

r(t) = 5tcm/s

Substitute the radius into the formula to have:

A(t) = π(5t)²

A(t)= 25t²π

Hence the area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake is A(t)= 25t²π

Learn more on area of circles here: https://brainly.com/question/16263780

The graph shows the number of pages in each chapter of a book that Josh is reading. A number line going from 2 to 28. 1 dot is above 2. 0 dots are above 4. 0 dots are above 6. 0 dots are above 8. 2 dots are above 10. 0 dots are above 12. 3 dots are above 14. 2 dots are above 16. 1 dot is above 18. 2 dots are above 20. 2. dots are above 22. 0 dots are above 24. 1 dot is above 16. 0 dots are above 28. Which statement is true about the effect of the 2-page introduction chapter? The outlier of 2 increases the median page count. The outlier of 2 increases the mean page count. The outlier of 2 decreases the median page count. The outlier of 2 decreases the mean page count.

Answers

Answer:

The outlier of 2 decreases the mean page count.

Step-by-step explanation:

Answer:

D) The outlier of 2 decreases the mean page count.

Step-by-step explanation:

Hope this helps:)

i really need helppppp

Answers

Could it be a im doing the same thing

Answer: A which is x=-3

Step-by-step explanation:

You put 2x to the left hand side which makes it a negative. Then you move the 5 to the other side since 2x has a variable and 5 doesn't. You need to put one side of the equation with a variable and one not. Then 5 becomes -5 because you move it over. So it will be 6x-2x= - 7- 5.Then subtract 6x and 2x which is 4x. -7 subtract -5 equals -12. Divide -12 and 4 which makes it -x=3.

Please help me idk this

Answers

Answer:

pi times d

Step-by-step explanation:the actuall formula is 2 pi r but since the radius times 2 is the diameer its pi times d hope this helps god bless

Answer:

c

Step-by-step explanation:

the circumference formula

An item that regularly sells for $425 is marked down to $318.75. What is the
discount rate?​

Answers

Answer: 25%

Step-by-step explanation:

[tex]\frac{425}{318.75}=\frac{100}{x}[/tex]

[tex]x=\frac{(318.75*100)}{425}\\x=75[/tex]

100-75=25

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