Which statements are always true regarding the diagram? Select three options.
A m∠5 + m∠3 = m∠4
B m∠3 + m∠4 + m∠5 = 180°
C m∠5 + m∠6 =180°
D m∠2 + m∠3 = m∠6
E m∠2 + m∠3 + m∠5 = 180°

Answer:

Pattern 8 would have 64 squares.

Step-by-step explanation:

Ok, I understand, Pattern 4 would have 16 squares, so we have to continue adding the pattern.

5 = 25, 6 = 36, 7 = 49, and 8 = 64. The key to this is each pattern number is multiplied BY ITSELF.

Hope this helps!

Sorry for being a little rude previous question, I didn't have a reference.

Using function concepts, we have that:

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

For this problem, the volume is a function of time, hence Volume = f(Time) and:

The decay rate is constant, meaning that we have a decreasing linear function, and graph H fits this problem.

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Answer:18

Step-by-step explanation: yes

20 is greater than 15 by 33.33%.

Percentage can be defined as a number or ratio that can be represented as a fraction of 100. In percentage numerator is the number and denominator is 100. To calculate percent of a number, we have to perform division on the given number by the whole number and then multiply by 100. Hence, the meaning of percentage is a part per hundred. The word per cent means per 100.

Given,

two numbers 20 and 15

Using subtraction operation,

20 - 15 = 5

20 is 5 greater than 15.

In percentage,

(5/15)× 100

= 0.3333 × 100

= 33.33%

Hence, 33.33% is 20 greater than 15.

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The central angle (in radians ) is 0.8 radians.
What is a cricle ?

A circle is a basic 2D shape measured by its radius. A circle divides the plane into two areas: interior and exterior. Similar to line type. Imagine a line segment bending until the ends connect. Arrange the loops so that they form a perfect circle.

we know that,

arc length = radius *  central angle (in radians)

and central angle (in radians) = arc length / radius

by substituting the given values

arc length = 7.2

radius=9

we get,

central angle (in radians) = 7.2 / 9

=0.8 radians

Hence , the central angle = 0.8 radians

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The current share price of Burkhardt Corp. is $65.06.

To determine the current share price of Burkhardt Corp., we can use the dividend discount model (DDM). The DDM calculates the present value of all future dividends to determine the stock's intrinsic value.

The company pays a constant dividend of $14.90 for the next six years and then stops paying dividends forever. We need to calculate the present value of these future dividends.

Using the formula for the present value of a perpetuity,

we find that the present value of the six years of dividends is:

PV =

\(D / (1 + r) + D / (1 + r)^2 + ... + D / (1 + r)^6\)

Where:

PV = Present value of dividends

D = Dividend payment

r = Required return rate

Plugging in the given values, we have:

PV =

\(14.90 / (1 + 0.10) + 14.90 / (1 + 0.10)^2 + ... + 14.90 / (1 + 0.10)^6\)

Calculating this sum, we find the present value of the six years of dividends to be approximately $65.06.

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Answer:

x = 13

Step-by-step explanation:

Vertical angles are congruent, so their measures are equal.

7x = 91

x = 13

Answer:

5600

Step-by-step explanation:

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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Answer:

the answer is 5 degrees

Step-by-step explanation:

dang this looks so confuseing

Answer: I might be wrong but...

x = 2 1/3

Step-by-step explanation:

1 1/4x + 3 = 4 3/4 + 1/2x

- 1/2x                      -1/2x

3/4x + 3 = 4 3/4

        - 3    - 3

3/4x = 1 3/4

3/4x / 3/4 = 7/4 / 3/4

x = 2 1/3

If a quadrantal angle 0 is coterminal with 0° or 180°, then the trigonometric functions tangent and cotangent are undefined.

In trigonometry, a quadrantal angle is an angle whose terminal side lies on either the x-axis or the y-axis, such as 0°, 90°, 180°, or 270°.

When a quadrantal angle is coterminal with 0° or 180°, the angle lies entirely on the x-axis, and its tangent is undefined because the x-coordinate is zero.

Similarly, when a quadrantal angle is coterminal with 90° or 270°, the angle lies entirely on the y-axis, and its cotangent is undefined because the y-coordinate is zero. The other trigonometric functions, such as sine and cosine, are well-defined for all angles, including quadrantal angles.

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\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

The Correct choice is : C

\(\qquad \sf  \dashrightarrow \: it \: \: is \: \: on \: \: the \: x - axis\)

As we can observe, the y - coordinate ( ordinate ) of the given point (2 , 0) is 0. so it's obvious that it's distance from x - axis is Zero. In other words we can say that the point is lying on x - axis.

Answer:

answer is C

it's on the x-axis

Step-by-step explanation:

hope t     his helps!

The probability that the time between two successive accidents at that mill is more than 20days is 0.4493.

At a paper mill, the interval between two accidents that occur back-to-back has an exponential distribution with a mean of 15 days.

The cumulative distribution function (CDF) of the exponential distribution can be used to calculate the likelihood that the interval between two consecutive accidents will be longer than 20 days:

P(X > x) = \(e^{-\lambda x}\)

where x is the time of interest, X is a random variable reflecting the interval between two successive accidents, and is the exponential distribution's rate parameter (which is equal to 1/mean) (20 days).

Adding the values we obtain:

P(X > 20) = \(e^{-20/15}\)

P(X > 20) = 0.4493

Hence, the likelihood that there will be more than 20 days between two consecutive rolling mill incidents is 0.4493.

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For the equal distribution each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple.

What is equal distribution?

The distribution of a something in a way that each will get same amount.

How 189 can be divided equally?

If the distribution is equally then each child should take, either 1 or 2 or 3 an so on means same amount.

For this we will check that 189 is divisible by which numbers.

Now we can see that 189 is divisible by 1, 3, 7, 9, 21, 27, 63, 189. It is clear that each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple then the distribution will be equal means every child will have same amount of apple.

Therefore, the correct answer is 1, 3, 7, 9, 21, 27, 63, 189.

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A 3-week-old beagle weighing 11 lbs is estimated to weigh around 47.67 lbs in 12 months based on the assumption that it will continue to grow at a similar rate. The estimated weight is calculated using the formula: Estimated weight = Current weight x 52 / age in weeks.

Assuming the beagle continues to grow at a similar rate, we can estimate its weight in 12 months using the following formula:

Estimated weight = Current weight x 52 (number of weeks in a year) / age in weeks

Substituting the given values, we get:

Estimated weight = 11 lbs x 52 / 12

Estimated weight = 47.67 lbs (rounded to two decimal places)

Therefore, the beagle will likely weigh around 47.67 lbs in 12 months if it continues to grow at a similar rate.

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There are 9 men required to dig 6 ditches in an hour.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Given that 6 men can dig four ditches in an hour

Let x men would be required to dig 6 digits in an hour​

According to the given situation, we can write the ratio would be as:

6 : 4 = x : 6

6/4 = x/6

Apply the cross-multiplication, and we get

4x = 36

x = 36/4

x = 9

Therefore, 9 men would be required to dig 6 digits in an hour​.

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The question seems incomplete, the complete question would be as:

If 6 men can dig four ditches in an hour, how many men are required to dig 6 ditches in an hour?

Answer: A . 0

Step-by-step explanation:

The two smaller sides does not equal to the longer length or greater than the longer length so no triangles can be form.

A stone arch can be twice as wide as a stone lintel because an arch distributes the weight of the structure vertically down its curve to the columns (piers) on either side while a lintel distributes the weight horizontally along the length of the stone.

A stone arch can be twice as wide as a stone lintel because an arch distributes the weight of the structure vertically down its curve to the columns (piers) on either side while a lintel distributes the weight horizontally along the length of the stone.

It requires only a small fraction of the arch's width to support itself while a lintel requires the full width of the structure that it spans. Thus, a stone arch can span a larger gap than a stone lintel and be twice as wide while using the same material.

For example, the Roman Colosseum uses an arch to span the entrances and exits while the walls supporting the upper levels use a series of stone lintels to support the structure.

Moreover, the arc prevents the need for a central support structure, which would be in the way of any events taking place in the structure. The technology of arches made them fundamental to ancient Roman architecture. For example, the arches were used to construct aqueducts, which provided a steady supply of water to the city of Rome.

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x^3 - a^3

The above expression represent differnt of 2 cubes

This can be re- written as

(x - a)^3

(x - a) ( x ^2 + ax + a^2)

expand the bracket

x * x^2 + ax*x + x *a^2 - a * x^2 - a * ax - a * a^2

= x^3 + ax^2 + a^2x - ax^2 - a^2x - a^3

collecting the like terms

= x^3 + ax^2 - ax^2 + a^2x -a^2x - a^3

ax^2 - ax^2 = 0

a^2x - a^2x = 0

Therefore

= x^3 + 0 + 0 - a^3

= x^3 - a^3

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given equation is not instandard form. First standard form is neccesary.

The result is 3x + 108 = 12y which is equal to 12y = 3x + 108

The slope is represented in this form as m (Y = mx + b)

(with b as the initial value)

Therefore, 3 is the slope.

To find its perpendicular slope.

To find it's perpendicular, know that it is the negative reciprocal.

FInally, the slope perpendicular to the line whose equation is 3x - 12y = -108 is \(\frac{1}{-3\\}\)

Answer:

3/4a>-16

Multiply by the reciprocal of 3/4 on each side to get only a on one side of inequality.

a> -16 x (4/3)

That can be simplified to:

a > -64/3

a > -21 1/3

Step-by-step explanation:

got it right on edge

Answer:

B

Step-by-step explanation:

six is 6 and since 7 is last in 6.017 then 0.007 and 0.1

i hope this helps

Answer:

x=5, y=3

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Step-by-step explanation:

x=5 y=3 that is it that guy was right

It is to be noted that the predicted rating after taking a dose in two decimal places is 5.53. See the explanation below.

Recall that we are given the expression:

y= 0.5x²−3.6x+8.9 .......................function 1

After 2.5 hours,

Predicted Rating (y) =

0.5 (2.5)² - 2.6 (2.5) + 8.9  [Substitute x into the function]

y= 0.5 (6.25) - 2.6 (2.5) + 8.9 [Expand the brackets]

y= 3.125 - 6.5 + 8.9

y= 5.525

Hence the predicted rating in two decimal places is 5.53. This means that the symptoms have been reduced by at least 50%.

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The graph of the function is given below.

The function is a continuous function.

The range of the function is 4, 5, 6, 7, and 8.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = -(1/2)x + 6

Domains = -4, -2, 0, 2, 4

Now,

y = f(x)

f(x) = -(1/2)x + 6

For x = -4, -2, 0, 2, 4

f(-4) = -(1/2) x -4 + 6 = 2 + 6 = 8

f(-2) = -(1/2) x -2 + 6 = 1 + 6 = 7

f(0) = -(1/2) x 0 + 6 = 0 + 6 = 6

f(2) = -(1/2) x 2 + 6 = - 1 + 6 = 5

f(4) = -(1/2) x 4 + 6 = - 2 + 6 = 4

The range of the function is 4, 5, 6, 7, and 8.

Thus,

The graph of the function is a straight line.

So,

The function is a continuous function.

The range of the function is 4, 5, 6, 7, and 8.

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The height of the the building is 95.5 feet.

As per the given data:

A building casts a 103-foot shadow.

At the same time, a 32-foot flagpole casts a 34.5-foot shadow.

Diagrams of both the building and flagpole are attached at the end of the solution.

Here we have to determine the height of the building.

From the above figure, in Δ ABC, AB shows the height of the building and BC shows its shadow length. In ΔDEF, DE shows the height of the flagpole and EF shows its shadow length.

In ΔABC

\($ \tan \theta=\frac{A B}{B C} \\\)

\($& \tan \theta=\frac{A B}{103}\)

In ΔDEF

\($& \tan \theta=\frac{D E}{E F} \\\)

\($\tan \theta=\frac{32}{34.5}\)

At the same time, the angle of elevation of the sun is the same at all the places.

Therefore

\($& \tan \theta=\tan \theta \\\)

\($& \frac{A B}{103}=\frac{32}{34.5} \\\)

\($& AB = \frac{32 \times 103}{34.5} \\\)

A B = 95.5 foot

Therefore, the height of the building will be 95.5 feet.

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