Given ⊙E with diameter AC, m∠CED=(3x)°, (m∠BEC=3x+2)°, and m∠AEB=(6x+7)°. Find x and mBD⌢

Answers

Answer 1

The following is the value of x and mBD: x = 83/6 and mBD⌢ = 83°.

Given circle E (⊙E) with diameter AC, we have the following information:

1. m∠CED = (3x)°
2. m∠BEC = (3x + 2)°
3. m∠AEB = (6x + 7)°

Since AC is the diameter of the circle, the inscribed angle ∠AEB is subtended by the diameter and thus forms a semicircle. In a semicircle, the inscribed angle is always a right angle. Therefore, m∠AEB = 90°. We can now set up the equation:

(6x + 7)° = 90°

Solving for x:
6x = 83
x = 83/6

Now, we need to find the measure of arc BD (mBD⌢). We can do this by finding the measure of angle BEC, as the measure of an inscribed angle is half the measure of its intercepted arc.

m∠BEC = (3x + 2)° = (3(83/6) + 2)° = (83/2)°

Since the measure of an inscribed angle is half the measure of its intercepted arc:

mBD⌢ = 2(m∠BEC) = 2(83/2)° = 83°

So, x = 83/6 and mBD⌢ = 83°.

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Related Questions

Rewrite f(x)= x as a piecewise function

Answers

The piecewise function will be written as y= -x { x < 0 } and y = x { x > 0 }.

What is a piecewise function?

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

Given that the function is f(x)= x. The piecewise function of the given function will vary from x being less than zero and x being greater than zero. The function can be written as  y= -x { x < 0 } and y = x { x > 0 }.

The graph of the piecewise function of the given function is attached with the answer below.

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Rewrite f(x)= x as a piecewise function

Six lines are drawn in the coordinate plane below.
2

Which line has a negative slope?
Select all that applys
A.PR
B.SR
C.PQ
D.PS
E.QS
F.QR

Six lines are drawn in the coordinate plane below.2Which line has a negative slope?Select all that applys

Answers

Answer:

PQ

SR

PR

Step-by-step explanation:

they are all going down while the others rise

The exterior angle of a triangle is 115° one of the interior opposite angle is 55°. The other interior angle is ?

Answers

Answer:

60°

Step-by-step explanation:

The exterior angle of a triangle is 115° one of the interior opposite angle is 55°. The other interior angle is ?

An exterior angle = The sum of two interior angles

Let the other interior angle = x

Hence:

115° = 55° + x

x = 115° - 55°

x = 60°

whats the vertex for y=2x^2 -4x-2

Answers

a = 2

h = 0

k = 0

find the vertex (h,k)

(0,0)

what would be the value of the autonomous expenditure multiplier if all taxes are autonomous

Answers

The value of the autonomous expenditure multiplier would be equal to 1 divided by (1 minus the tax multiplier).

The value of the autonomous expenditure multiplier would depend on the size of the tax multiplier.

The tax multiplier is the inverse of the marginal propensity to consume (MPC) from taxes, which is the portion of each dollar of taxes that households and businesses will spend.

If all taxes are autonomous, this means that taxes are not influenced by changes in income or other economic factors, and will remain constant.

In this case, the tax multiplier would be equal to the MPC from taxes.
The autonomous expenditure multiplier is calculated by dividing 1 by the marginal propensity to save (MPS), which is the portion of each dollar of income that households and businesses will save.

Since the MPC and MPS always add up to 1, we can use the tax multiplier to calculate the MPS from taxes as 1 minus the tax multiplier.

Therefore, the value of the autonomous expenditure multiplier would be equal to 1 divided by (1 minus the tax multiplier).

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Please help me this due in a couple of hours and yes i do have to do them all and ill give brainly

Please help me this due in a couple of hours and yes i do have to do them all and ill give brainly

Answers

dont gggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

sorry but your image is not clear can you send a clearer one. thanks

4.
Which of the following is the minimum value of the equation y= 1/3x^2 + 2x + 5?
A. 1/3
B. -3
C. 2
D. 5

Answers

Answer:

C. 2

Step-by-step explanation:

Use the formula  

x  =  − b /2 a

to find the maximum and minimum.

( − 3 , 2 )

4. Which of the following is the minimum value of the equation y= 1/3x^2 + 2x + 5?A. 1/3B. -3C. 2D. 5

The sale tax on $25,000 car is $1375 what is the sales tax rate

Answers

Answer:

Tax rate is 5.5% because 1,375/25,000 is equal to 0.055 which is 5.5 in percentage form. To prove it you can multiply 25,000 by 0.055 and get 1,375.

Step-by-step explanation:

Sales tax rate is 5.5% of cost of car.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given,

Price of the car = $25000

Tax on car = $1375

Sales tax rate = ($1375/$25000)×100

                           = 0.055 × 100

                           = 5.5%

5.5 % of sales tax is applied on the cost of car.

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Which expression is equivalent to the one shown below?
163
A. 16.3
B. 4/3
C. 4.3
D. 16./3
SUS

Which expression is equivalent to the one shown below?163A. 16.3B. 4/3C. 4.3D. 16./3SUS

Answers

Answer:

The choose B. 4√3

I hope I helped you^_^

An automatic filling machine is used to fill 2-litre bottles of cola. The machine’s output is known to be approximately Normal with a mean of 2.0 litres and a standard deviation of 0.01 litres. Output is monitored using means of samples of 5 observations.
Determine the upper and lower control limits that will include roughly 95.5 percent of the sample means.
If the means for 6 samples are 2.005, 2.001, 1.998, 2.002, 1.995 and 1.999, is the process in control?

Answers

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

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When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer

False

True

Answers

Answer:

False

Step-by-step explanation:

If you were to divide a negative number by a negative number, or multiply a negative number by a negative number, you would change the sign to positive as two negatives make a positive.

Answer:

False

Step-by-step explanation:

if you multiply two negative integers, you will get a positive result

For example

(-1) x (-2) = 2   (the sign of the answer is different from the sign of the two negative integers that we multiplied)

Claire says that she can find the volume of any cylinder as long as she can measure the circumference and height is she correct

Answers

Answer:

Yes, she is correct. Volume of the cylinder is V = πr²h. Therefore we need height and radius to calculate the volume. Height is given and the radius can be calculated from the circumference.

Step-by-step explanation:

Volume of cylinder
\(V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h\)

For the volume of the cylinder we need the radius of the circle and height of the cylinder. The height is already known.

We can find the radius from the circumference.

Cirumference of the circle
\(C = 2 \pi r\)

We can get the radius from rearranging the equation.

\(r = \frac{C}{2 \pi}\)

Since C (circumference) is known we can easily calculate the radius.

With that we have all the needed information (height and radius) to calculate the volume of the cylinder.

factorise:
k² - 2k - 8
with explaining the steps

Answers

Answer:

( k-4)(k+2)

Step-by-step explanation:

k² - 2k - 8

What 2 numbers multiply to -8 and add tp -2

-4*2 = -8

-4+2 = -2

( k-4)(k+2)

Refer to the attachment for steb-by-step explanation.

factorise: k - 2k - 8with explaining the steps

the angle of elevation of the top of a tower from a point 42 metres away from it's base on level ground is 26 degrees. find the height of the tower.

Answers

Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

which of the following best describes the altitude of a triangle

Answers

Um it would be better if we had answer choices but the altitude could also be called the height of a triangle.

The option that best describes the altitudes of a triangle is  the orthocenter of the triangle, the correct option is A.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°;

A triangle's height is determined by drawing a perpendicular line from its vertex to its opposite side; The altitude sometimes referred to as the triangle's height forms a triangular shape with the foundation;

Let the triangle be ΔABC;

Then the line AD, BE, and CF will be the altitudes of the triangle. And they intersect at a point O.

Therefore, the answer will be orthogonal triangle.

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The missing options are given below;

A. Orthocenter

B. Circumcenter

C. Incenter

a bag of candy which has 100 pieces of candy has 15 yellow pieces, 17 green pieces, 18 red pieces, 20 blue pieces, and 30 orange pieces. what is the probability without replacing the piece you will grab 2 consecutive orange pieces?

Answers

The probability of grabbing 2 consecutive orange pieces is approximately 0.101.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

The probability of grabbing 2 consecutive orange pieces without replacement is calculated as:

\(\frac{30}{100}\) × \(\frac{29}{99}\) = 0.090/0.9 = 0.101010101...

Therefore, the probability of grabbing 2 consecutive orange pieces is approximately 0.101.

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What are not exponential functions?.

Answers

It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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How do you write 1.2247 as a percentage?

Answers

1.2247 as a percentage = 122.47%

Urgent please help..

Urgent please help..

Answers

8.60 cm is the answer to your question and i used calculator.net for help
The person above is correct

What are the quotient and remainder of (2x^4+5x^3-2x-8)/(x+3)

What are the quotient and remainder of (2x^4+5x^3-2x-8)/(x+3)

Answers

The quotient of (2x^4 + 5x^3 - 2x - 8) divided by (x + 3) is 2x^3 - x^2 + 3x - 7, and the remainder is 13.

To find the quotient and remainder, we can use polynomial long division.

First, we divide the leading term of the numerator, 2x^4, by the leading term of the denominator, x. This gives us 2x^3.

Next, we multiply the denominator, x + 3, by the quotient term we just found, 2x^3. We subtract this product, which is 2x^4 + 6x^3, from the numerator.

We then repeat the process with the new numerator, which is now -x^3 - 2x - 8.

Dividing the leading term of the new numerator, -x^3, by the leading term of the denominator, x, gives us -x^2.

We continue this process until the degree of the numerator is less than the degree of the denominator.

After finding the quotient, 2x^3 - x^2 + 3x - 7, and the remainder, 13, we can conclude our division.

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an equilateral triangle and a square are inscribed in a circle as shown. $abc$ is isosceles. the triangle and square share a common vertex. what is the number of degrees in the measure of the angle indicated by the question mark?\

Answers

Note that the angle indicated by the question mark is 75°. See the explanation below.

What is the rationale for the above response?

Given that the angle at the vertex that they (the equilateral triangle and the square share) is a right angle or 90 degrees.

This means that the middle angle of the equilateral triangle is 60° this is because an "equilateral" triangle has 3 equivalent sides and, therefore, 3 equivalent angles.

Since the sum of the 3 angles of ANY triangle is 180°, then 180/3 = 60° for each angle.

Because the angle at the vertex is "splitting" a right angle, or 90 degrees which belongs to the square, then that leaves 2 smaller angles on each side of the 60° angle,

or 90 - 60

=30/2

=15° each.

That is the top angle of the triangle you are trying to solve.

Therefore, since that small triangle is a right triangle, then: 180 - 90 - 15 =75°, which is the angle with a question mark (?)

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Full Question:

An equilateral triangle and a square are inscribed in a circle as shown.  ABCis isosceles. The triangle and square share a common vertex. What is the number of degrees in the measure of the angle indicated by the question mark? (See attached)

an equilateral triangle and a square are inscribed in a circle as shown. $abc$ is isosceles. the triangle

What is one person plus another person?

Answers

2 persons

Because 1+1 is 2 I hope you understand! Please tell me if you need more help...

What inequality is shown by the​ graph? algebra 1

What inequality is shown by the graph? algebra 1

Answers

we are working on the same thing lolll


Is the line y = 0.6x - 1

Is the line y = 0.6x - 1

Answers

Answer:yes!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

To prove check out this screenshot Mark my answer the brainliest to tell you the 4 math calculators :)

Is the line y = 0.6x - 1

The length of Joe's arm is 28 inches. The length of his lower arm is 21 inches. What percent of Joe's arm is his lower arm?

Answers

Answer:

75%

Step-by-step explanation:

You take the length of the lower arm, 21, and divide it by the total length, 28. Your equation should be 21/28 = 3/4 =.75. 0.75 is equal to 75%

Answer:

75%

Step-by-step explanation:

You take the length of the lower arm, 21, and divide it by the total length, 28. Your equation should be 21/28 = 3/4 =.75. 0.75 is equal to 75%

  
If you’re correct I’ll give u brainlist!!

 If youre correct Ill give u brainlist!!

Answers

Answer:

Alternate interior angles theorem

Step-by-step explanation:

Alternate interior angles theorem

Answer:

I don't know if there is one that says reflexive property, but that is the answer

Step-by-step explanation:

(check the pic) please help asp!! 37 points for this and if you answer this fully I will make you brainilest!

 (check the pic) please help asp!! 37 points for this and if you answer this fully I will make you brainilest!

Answers

Answer:

See explanation

Step-by-step explanation:

During September, they ran half a mile once, 1 mile twice, 1.5 miles 4 times, and 1.75 miles once. This is a total of 8 runs below 2 miles in length. Meanwhile, they ran 2 miles twice, 2.5 miles twice, 2.75 miles 4 times, and 3 miles 5 times, a total of 13 runs over 2 miles. Therefore, Michelle is correct. Hope this helps!

The science teacher asked Ramona and Tino to make a graph illustrating the weekly plant growth with sunlight. Which type of graph would be the most appropriate for Brittney to use?

Answers

More likely a line graph

Answer:

line graph

Step-by-step explanation:

Ivan and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Ivan starts with 20 points, and his little brother starts with 16 points. Ivan gets 2 points for every successful shot, and his brother, since he is younger, gets 4 points for each successful shot. Eventually, the brothers will have a tied score in the game. How many points will they both have? How many additional shots will each brother have made?

Answers

Answer:

24 points

2 shots

Step-by-step explanation:

Ivan :

Starting point = 20

Points per success = 2

Brother :

Starting point = 16

Points per success = 4

Let number of successful shots = x

20 + 2x = 16 + 4x

2x - 4x = 16 - 20

-2x = - 4

x = 2

Number of additional shots made = x = 2

Number of points they both have :

20 + 2x = 20 + 2(2) = 20 + 4 = 24 points

16 + 4x = 16 + 4(2) = 16 + 8 = 24 points

If the margin of error decreases and the sample size remains the​ same, the level of confidence.

Answers

Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down

What is level of confidence?

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, but other levels, like 90% or 99%, are occasionally used when computing confidence intervals.

We are given asked when the sample size is kept the same,

What will happen to the level of confidence if the margin of error decreases?

we know that the margin of error is nothing but a statistic which tells us how many percentage points our results will differ from the real population value.we know that when a greater error is allowed, the more will be the confidence(fundamental concept of confidence intervals)

Let Margin of Error be represented by E and the confidence level by C hence the relationship goes like this,

                                           E↑⇔C↑and E↓⇔C↓

Here we are asked when the sample size is kept the same, what will happen to the level of confidence if the margin of error decreases .

The answer is that Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down.

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