In the diagram, point O is the center of the circle and m∠ADB = 43°. If m∠AOB = m∠BOC, what is m∠BDC?

Answers

Answer 1

Answer:

B - 43

Step-by-step explanation:

Answer 2

The required measure of the angle m∠BDC is 43°.

Given that,

In the diagram, point O is the center of the circle, and m∠ADB = 43°. If m∠AOB = m∠BOC, what is m∠BDC is to be determined.


What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Property of circle -
                   "The angle subtended by an arc of the circle to the center point of the circle is double the angle subtended by the same arc on any point the circumference of the circle."

So,
From the above property,
Angle subtended by Arc AB at center or m∠AOB is 2 * 43 = 86°
From given  m∠AOB = m∠BOC,
Implies
m∠BOC = 86°
Angel subtended by arc BC at D is m∠BDC = m∠BOC /2
                                                                         = 86 /2
                                                                         = 43°

Thus, the required measure of the angle m∠BDC is 43°.

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Related Questions

Dr. Stein bought 30 notebooks, 60 pencils and 300 erasers for his class to make identical packages with some notebooks, some pencils and some erasers for his students. He used everything he bought, and every student got a package. What is the largest number of students Dr. Stein can have in his class?

Answers

There are 30 students

The key word is "identical." If all students received identical packages, then Dr. Stein could have handed out 30 packages. He has a maximum of 30 notebooks to hand out, so if each package has one notebook, he can hand out 30 packages. Each of those 30 packages will also have 2 pencils and 10 erasers.

ANSWER: There are 30 packages maximum so he can have a maximum of 30 students.

Hope this helps! :)

Please give me brainly

Thankyou!

Which of the following is typically not insured under property insurance ? A. Furniture B. Jewelry C. Electronics D. Pets ​

Answers

The answer is most likely pests (D)

Pets are typically not insured under property insurance.

Option D is the correct answer.

What is property insurance?

Property insurance is a type of insurance policy that provides financial protection against damage or loss to physical property, such as a home, business, or personal belongings.

It typically covers a wide range of perils, including fire, theft, natural disasters, and vandalism, depending on the specific policy and coverage limits.

We have,

Pets are typically not insured under property insurance.

While property insurance policies may cover damage or loss of personal property, such as furniture, jewelry, and electronics, they generally do not provide coverage for pets.

Pet insurance policies are available as a separate type of insurance to cover the cost of veterinary care and other expenses related to owning a pet.

Thus,

Pets are typically not insured under property insurance.

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What type of study would you conduct if you wanted to know how many
miles a week on average students on the school's cross country team run
during the summer? Explain your reasoning. *
Your answer

Answers

A survey of the entire population of students on the cross country team. That way, all the info you get back is 100% accurate as everyone participated and gave you an exact number of hours. With this info, you can find the average

The avenues in a particular city run north to south and are numbered
consecutively with 1st Avenue at the western border of the city. The streets in
the city run east to west and are numbered consecutively with 1st Street at
the southern border of the city. For a festival, the city is not allowing cars to
park in a rectangular region bordered by 3rd Avenue to the west, 5th Avenue
to the east, 4th Street to the south, and 8th Street to the north. If x is the
avenue number and yis the street number, which of the following systems
describes the region in which cars are not allowed to park?

Answers

The inequality equations are given as |x - 4| ≤ 1 and |y - 6| ≤ 2, then the correct option is B.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

From the diagram, the inequalities equation will be given as

For x, we have

[tex]\begin{aligned} 3 &\geq \ \ \ \ x&\geq 5\\-1 &\geq x-4&\geq 1\end{aligned}[/tex]

Then after the mode function, we have

[tex]|x-4|\leq 1[/tex]

Similarly, for y, we have

[tex]\begin{aligned} 4 &\geq \ \ \ \ y&\geq 8\\-2&\geq y-6&\geq 2\end{aligned}[/tex]

Then after the mode function, we have

[tex]|y-6|\leq 2[/tex]

More about the inequality link is given below.

https://brainly.com/question/19491153

Simplify this algebraic expression completely.
10y - 3(+ 5)
A. 7y + 5
B. 7y + 2
C. 7y - 5
D. 7y - 15

Answers

Is it a because if you take 3 away for 10y that equals 7y and then you plus the 5
The answer is letter A

Laura wants to enlarge a picture she took at the beach to hang on her wall. The picture is 3 inches tall and 5 inches wide. If she wants the enlarged picture to be 2 feet wide, how tall will it need to be?

Answers

Answer:

I think the answer will be 14.4 inches tall.

Step-by-step explanation:

Part A: What is the value of 2x if 4x + 6 = 2x – 12?




Part B: What is the value of x – 3 if 24 = 6x – 18?

Answers

Answer:

Step-by-step explanation:

A) 4x + 6 = 2x - 12

Subtract 6 from both sides

4x + 6 - 6 = 2x - 12 -6

4x = 2x - 18

Subtract 2x form both sides

4x - 2x = 2x - 18 - 2x

2x = -18

B) 24 = 6x - 18

6x - 18 = 24

6x - 6*3 = 24

6(x - 3) = 24

Divide both sides by 6

[tex]\frac{6(x - 3)}{6}=\frac{24}{6}\\\\[/tex]

x - 3 = 4

what is the value of x?
A.39
B.41
C.26
D.17​

Answers

Answer:

The answer is B.

Step-by-step explanation:

You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

Let a = 40,

Let b = 9,

[tex] {c}^{2} = {40}^{2} + {9}^{2} [/tex]

[tex] {c}^{2} = 1600 + 81[/tex]

[tex] {c}^{2} = 1681[/tex]

[tex]c = \sqrt{1681} [/tex]

[tex]c = 41 \: units[/tex]

*Take note, hypotenuse will always be the longest length among the 3 lengths.

*Pythogorean Theorem can only applied in a right-angle triangle.

Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.

Answers

Answer:

the third side should be greater than 6 - 4.5 = 1.5 and should be smaller than 6 + 4.5 = 10.5.

Step-by-step explanation:

(a) Find a simplified form of the difference quotient and (b) complete the following table.
f(x) = - 4x + 7​

Answers

Answer:

a) -4

b)

x    h                   [f(x+h) - f(x)] / h

3    2                  -4

3    1                   -4

3    0.1                -4

3    0.01              -4

Step-by-step explanation:

a) The difference quotient is:

[f(x+h) - f(x)] / h

Our function is -4x + 7​, then:

f(x+h) = -4(x+h) + 7​ = -4x -4h + 7

f(x) = -4x + 7​

f(x+h) - f(x) = -4x -4h + 7 - (-4x + 7​ )= -4x -4h + 7 +4x - 7​ = -4h

Finally:

[f(x+h) - f(x)] / h =  -4h/h = -4

b)

First point in the table:

x = 3

h = 2

f(x+h) = -4(3+2) + 7​ = -13

f(x) = -4(3) + 7​ = -5

f(x+h) - f(x) = -13 -(-5) = -8

[f(x+h) - f(x)] / h = -8 / 2 = -4

Second point in the table:

x = 3

h = 1

f(x+h) = -4(3+1) + 7​ = -9

f(x) = -4(3) + 7​ = -5

f(x+h) - f(x) = -9 -(-5) = -4

[f(x+h) - f(x)] / h = -4 / 1 = -4

Third point in the table:

x = 3

h = 0.1

f(x+h) = -4(3+0.1) + 7​ = -5.4

f(x) = -4(3) + 7​ = -5

f(x+h) - f(x) = -5.4 -(-5) = -0.4

[f(x+h) - f(x)] / h = -0.4 / 0.1 = -4

Fourth point in the table:

x = 3

h = 0.01

f(x+h) = -4(3+0.01) + 7​ = -5.04

f(x) = -4(3) + 7​ = -5

f(x+h) - f(x) = -5.04 -(-5) = -0.04

[f(x+h) - f(x)] / h = -0.04 / 0.01 = -4

find the value of
a) 8^1/3
b) 8^2/3
c) 16^3/4

Answers

Step-by-step explanation:

a. 8^1/3

=2^3*1/3

=2 Answer.

b. 8^2/3

=2^3*2/3

=2^2

=4 ans

c. 16^3/4

= 2^4*3/4

= 2^3

= 8 ans

PLEASE HELP ME QUICK EXPLANATION AND ANSWERS PLEASE IF ANY NONSENSE ANSWED YOU WILL BE REPORTED

Answers

Answer:

1. 1:4

2. 4:1

3. 3:5

4. 2:3

5. 1:3

6. 1:10

7. 1:2

8. 3:2

From a point 35 meters from the base of a building, the angle of elevation of the top of the building is 65. How tall is the building, to the nearest meter? Show steps.

Answers

Answer:

75.06 m

Step-by-step explanation:

Look at the picture*

josh earned 15% extra points on his 40 point assignment, how many total points did he earn?

Answers

Total points : 46
15% of 40 is 6
40 + 6 = 46
To double check:
46/40 = 1.15 = 115%

Please find the VOLUME of this figure... Write the formula and plug in the values... Write your answer with units and box your answer

ALSO

What is this shape called

Answers

Answer:

hope this is correct

Which expression has twice the value of 2 times 2 times 2 times 2 times 2?

Answers

Answer:

There is no choices

Step-by-step explanation:

2x2x2x2x2 or 2 to the 5th power is 32

Whichever expression equals twice of 32, or 64 is the correct answer

Answer:2^6

Step-by-step explanation:

2 x 2 x 2 x 2 x 2 = 32

Twice the value of 2 x 2 x 2 x 2 x 2 i.e. 32 = 32×2

= 2^6

2 ^6

A coin is tossed then a letter from the word incredible is chosen at random. What is the probability of getting heads, then a vowel?

Answers

Answer:

https://brainly.com/question/14691406

Step-by-step explanation:

Work out the size of angle x

Answers

Answer:105°

Solution,

=105°( being corresponding angles)

Hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

x=105 degrees corresponding angles are equal

Tina is organizing a contest for her friends. The winner of the contest can pick two movie tickets out of a bag without looking. The bag contains movie tickets to Cinema 16 and movie tickets to Cinema 25. There are five more Cinema 25 tickets than Cinema 16 tickets. Write and simplify an expression that represents the probability that the winner will pick two Cinema 16 tickets. What is the probability that the winner picks two Cinema 16 tickets if there are 8 Cinema 16 tickets in the bag before her first pick? Round your answer to the nearest hundredth.

Answers

Answer:

3.400

Step-by-step explanation:

Cinema 25        Cinema 16  

   5+

2+ 5 =7

the people mostly pick Cinema 25

7/2 =  3.5

Answer: 3.40 x 10

which choices are equivalent to the expression above?
5 square root of 3

Answers

Answer:

Hai

5√3 is can equal to 75

because when i take 5 in root, i have to multiply by itself and 3.

5√3 is can equal to 15.5

because its already equal to √75

5√3 is can equal to 25.3

because its equal to √75

the other options are wrong.

good luck(:

Oliver removed 56 marbles from his marble
box and put them into 8 equal groups. How
many marbles were in each group?

Answers

ANSWER:
Total marbles =56
Number of groups =8
Therefore number of marbles in each group =56/8
= 7 marbles in each group.
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST !!!!
56/8=7 so then there would be 7 groups of marbles

Find the area of this trapezoid... Round to the nearest tenth and in include units in your answer

Answers

Answer:

[tex]89.7in^2[/tex]

Step-by-step explanation:

[tex]A=\frac{a+b}{2} h\\=\frac{10.5*19.4}{2}*6\\ =89.7in^2[/tex]

Simplify the expression.

[tex]\frac{10}{\sqrt{2}+\sqrt{7} }[/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\frac{10}{\sqrt{2}+\sqrt{7}}=\frac{10*(\sqrt{2}-\sqrt{7})}{(\sqrt{2}+\sqrt{7})*(\sqrt{2}-\sqrt{7})}\\\\=\frac{10*(\sqrt{2}-\sqrt{7})}{(\sqrt{2})^{2}-(\sqrt{7})^{2}}\\\\=\frac{10*(\sqrt{2}-\sqrt{7})}{2-7}\\\\=\frac{10*(\sqrt{2}-\sqrt{7})}{-5}\\\\=-2*(\sqrt{2}-\sqrt{7})\\\\= -2\sqrt{2}+2\sqrt{7}[/tex]

Hint: (a + b)(a -b)= a² - b²

(√2+√7)(√2-√7)=(√2)²-(√7²) = 2 - 7 = -5

A bowl contains 11 white stones and 3 black stones. One stone is chosen and not replaced, then another stone is chosen. What is the probability that the first is a white stone and the second is a black stone?

Answers

Answer:

11/ 14 chance that you will pick a white stone

3/14 chance to picka a black stone

Step-by-step explanation:

Hope that helps

Answer:

Step-by-step explanation:

[tex]P=\frac{11}{14} \times \frac{3}{13} =\frac{33}{182 }[/tex]

Abigail has $30.00 to buy groceries.she needs to buy some apples,some bananas, and 3 pounds of potatoes.Fuji apples are $1.79 a pound ,bananas are$0.36 each, and potatoes are 2.99 for a 3 lb bag. If a represents the number of pounds of apples Abigail buys b represents the number of bananas she buys,which expression represents the amount of change she receives after her purchases?

Answers

Answer:

An expression represents the amount of change she receives after her purchases is y=-1.79a-0.36b+27.01

Step-by-step explanation:

Let a represents the number of pounds of apples

Let b represents the number of bananas

Cost of 1 pound apple = $1.79

So, Cost of a pounds apples = 1.79 a

Cost of 1 banana = $0.36

Cost of b bananas = 0.36b

Cost of 3 lb bag of potato i.e. 3 pounds of potato = $2.99

So, Total cost = 1.79a+0.36b+2.99

Abigail has $30.00 to buy groceries

Let y be the change received by her

So, Change received by her:

y = 30-( 1.79a+0.36b+2.99)

y= 30-1.79a-0.36b-2.99

y=-1.79a-0.36b+27.01

Hence  expression represents the amount of change she receives after her purchases is y=-1.79a-0.36b+27.01

MULTIPLE CHOICE:
What is the discriminant of the quadratic equation 2x^2+8x−5=0

A. 104
B. -24
C. -104
D. 24

Answers

Answer:

104

Step-by-step explanation:

2x^2+8x−5=0

This is written in the form

ax^2 + bx+c

a =2  b = 8   c=-5

The discriminant is

b^2 -4ac

8^2 - 4(2)(-5)

64 + 40

104

The discriminant is 104

Len made 1 1/3 liters of punch. He added 2/5 liters of water to make the punch. How much water was used for each liter of punch?

Answers

Answer:

  3/10 liter

Step-by-step explanation:

Assuming your description means that 4/3 liters of punch includes 2/5 liters of water, then the fraction of punch that is water is ...

  (2/5)/(4/3) = (2/5)(3/4) = 3/10

3/10 of a liter of water is used in each liter of punch.

The function C(t) = 100. e-0.0001212 describes how to find the percentage of
carbon-14, c(t), remaining in an object after tyears.
According to this information, what was the percentage of carbon-14
remaining in an object after 55 years? (Round your answer to the nearest
hundredth.)
O A. 0.94
O B. 99.34
O C. 93.56
O D. 0.99​

Answers

Answer:

D

Step-by-step explanation:

complete the table for 15 points.​

Answers

Answers:

20%, 0.2

1/4, 0.25

50%, 0.5

2/3

Answer:

Step-by-step explanation:

Fraction: 1/4 since 25% is 25% of 100%

Fraction: 1/3

Percentage: 1/5 = 0.2 = 20%

Percentage: 1/2 = 0.5 = 50%

Decimal: 20% = 0.2

Decimal: 25% = 0.25

Decimal: 50% = 0.5

Find the area of the shaded segment of the circle.

Answers

3.14 is the answer correct
3.14 is the correct answer
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