Is this quadrilateral a parallelogram?

The summary of the 3 rules on segments are written below.

The three rules on segments in circles are:

1. When two chords intersect inside a circle, they create four line segments.

The product of the lengths of the two segments of one chord is equal to the product of the lengths of the two segments of the other chord.

2. When two secants intersect outside a circle, they create four line segments.

The product of the length of the secant segment and its external segment is equal to the product of the length of the other secant segment and its external segment.

3. When one secant and one tangent intersect outside a circle, they create three line segments.

The product of the length of the secant segment and its external segment is equal to the square of the length of the tangent segment.

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The amount Troy (D, in dollars) charges to mow a lawn is proportional to the time (H, in hours) it takes him to mow the lawn.

Hence, we can write [tex]\text{D = kH}[/tex] ......... (1), where k is a constant.

Now, given that Troy charges $30 to mow a lawn that took him 1.5 hours to mow.

So, from equation (1) we get  

[tex]{30 = 1.5\text{k}[/tex]

[tex]\rightarrow \text{k = 20}[/tex].

Therefore, equation (1) becomes

[tex]\boxed{\bold{D = 20H}}[/tex] (Answer)

This means that the median weight of a female child at 31.48 months is 28 pounds (approximately) base on logarithmic function.

Q1.1: The equation for the amount of money in the account after t years, compounded annually, can be given by:

A = P(1 + r/100)^t

where A is the amount of money in the account after t years, P is the principal amount invested, r is the annual interest rate, and t is the number of years.

Plugging in the values given in the problem, we get:

A = 1200(1 + 4.25/100)^t

Q1.2: We need to solve for t in the equation:

3000 = 1200(1 + 4.25/100)^t

Dividing both sides by 1200, we get:

2.5 = (1 + 4.25/100)^t

Taking the natural logarithm of both sides, we get:

ln 2.5 = t ln (1 + 4.25/100)

Solving for t, we get:

t = ln 2.5 / ln (1 + 4.25/100) ≈ 15.91 years

So, it will take approximately 15.91 years for the amount of money in the account to reach $3000.

Q2.1: To graph the function W = 7.5 + 5.9 ln(M + 1), we can use a graphing calculator or software. Here is a possible graph:

Graph of W = 7.5 + 5.9 ln(M + 1)

Q2.2: To find W ^−1(28), we need to solve the equation:

28 = 7.5 + 5.9 ln(M + 1)

Subtracting 7.5 from both sides, we get:

20.5 = 5.9 ln(M + 1)

Dividing both sides by 5.9, we get:

ln(M + 1) ≈ 3.474576

Taking the inverse logarithm of both sides, we get:

M + 1 ≈ e^3.474576

M ≈ e^3.474576 - 1 ≈ 31.48 months

So, W ^−1(28) ≈ 31.48 months. This means that the median weight of a female child at 31.48 months is 28 pounds (approximately).

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H 48 feet could be the perimeter of Rebecca's garage door.

We know,

Perimeter is the distance around a two-dimensional shape. It is measured in units of length, such as feet or inches.

Rebecca found the length and width of the garage door, which are both measurements of length. Let's say she found that the length was 8 feet and the width was 6 feet.

To find the perimeter, she would add up the lengths of all four sides of the rectangle:

Perimeter = 2(length) + 2(width)

Perimeter = 2(8 feet) + 2(6 feet)

Perimeter = 16 feet + 12 feet

Perimeter = 28 feet

So the perimeter of Rebecca's garage door is 28 feet. None of the answer choices given match this value exactly, but H 48 feet is a possible perimeter if the garage door was much larger than the example given above. However, it is important to note that the term "cubic feet" (answer choice J) does not apply to perimeter, as cubic feet is a unit of volume and not length.

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By sample distribution, (0.431,0.487) is Complete parts​ (a) through​ (d) below.

What does a statistical sample distribution mean?

An accurate probability distribution of a statistic is known as a sampling distribution, and it is created by repeatedly sampling a certain population. It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given

Favourable cases (X)=?

Sample size(n)=510

Sample proportion (p_hat)=X/n=0.459

X=np_hat=510*0.459=234.09=234

Confidence level(1-α)=99%=0.99

α=0.0

The critical value for  α=0.01 is Zc=2.576

The margin of error is E=Zc* √((p_hat(1-p_hat)/n))

E=2.576* √((0.459(1-0.459)/510))=0.0568

The 99% confidence interval for p

CI=(p_hat-E,p_hat+E)

CI=(0.459-0.0568,0.458+0.0568)

CI=(0.402,0.516)

Confidence level(1-α)=80%=0.80

α=0.20

The critical value for  α=0.2 is Zc=1.282

The margin of error is E=Zc* √((p_hat(1-p_hat)/n))

E=1.282* √((0.459(1-0.459)/510))=0.0283

The 80 % confidence interval for p

CI=(p_hat-E,p_hat+E)

CI=(0.459-0.0283,0.458+0.0283)

CI=(0.431,0.487)

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The supplied value of 4 is a solution to the equation m + 2(m + 1) = 14.

Given the equation in the question;

m + 2(m + 1) = 14

And supplied value = 4

To substitute the value of 4 into the equation, we replace every occurrence of the variable "m" with 4:

m + 2(m + 1) = 14

Plug in m = 4 by replace m with 4 and simplify both sides

4 + 2(4 + 1) = 14

4 + 2(5) = 14

4 + 10 = 14

14 = 14

We can see that both sides of the equation simplify to 14, which means that the value of 4 is a solution.

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Answer:

101

Step-by-step explanation:

substitute 5 in the x:

=18(5)+11

=90+11

=101

Answer:

Step-by-step explanation:

C

The areas of the region between the curves is -40/3square units.

We must first graph the curves in order to identify which one is on top in order to calculate the area of the region bounded by the curves for x in [0, 3]. y = x²− 4x + 1 and y = −x²+ 4x − 5

The vertex of the graph of y = x²− 4x + 1is at (2, -3), and it opens upward. The vertex of the graph of y =−x²+ 4x − 5 is at (2, -1), and it opens downward.

Thus, the curve y = x²− 4x + 1 is on top for x in [0, 1], and the curve y = −x²+ 4x − 5 is on top for x in [1, 3].

To determine which curve is on top, we can set them equal to each other and solve for x:

x²− 4x + 1 = −x²+ 4x − 5

2x² - 8x + 6 = 0

x² - 4x + 3 = 0

(x - 3)(x - 1) = 0

x = 1 or x = 3

Thus, the curves cross at x = 1 and x = 3. To find which curve is on top between these two points, we can test a point in between, such as x = 2:

y = x²− 4x + 1 = 1

y = −x²+ 4x − 5 = -1

Using integration, we can find the area of the region:

∫[0,1] (x²− 4x + 1) dx + ∫[1,3] (−x²+ 4x − 5) dx

= [(1/3)x³ - 2x² + x] from 0 to 1 + [(-1/3)x³ + 2x² - 5x] from 1 to 3

=[1/3-2+1]+[{-9+8-15}-{-1/3+2-5}]

=-2/3+-38/3

=-40/3 square units.

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Answer:

I think like 60∘, 60∘, 60 ∘ , 60 ∘ , and 120∘?

The probability that someone with a credit score of 650 or below defaulted on the loan is 0.14.

The probability that someone with a credit score of 650 or below defaulted on the loan is calculated below:

Probability = number of defaulters/ number of loan recipients

From graph:

The total number of defaulters = 30 + 30 + 30

The total number of defaulters = 90

The total number of loan recipients = 120 + 240 + 270

The total number of loan recipients = 630

Probability to default = 90/630

Probability to default = 0.14

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The surface area of the figure is 344 m².

Area is the region bounded by a plane shape.

To calculate the surface area of the figure, we use the formula below.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 2

Hence, the area is 344 m².

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Answer:

x = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then

x² + 4² = 8²

x² + 16 = 64 ( subtract 16 from both sides )

x² = 48 ( take square root of both sides )

x = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

Answer:t = 9.6.

Step-by-step explanation:

The figure given that has exactly two lines of symmetry is C. Rectangle.

A rectangle has two lines of symmetry.

A line of symmetry is a line that divides a shape into two equal parts that are mirror images of each other. In a rectangle, the two lines of symmetry run through the center of the rectangle, dividing it into two congruent halves. These lines of symmetry are perpendicular to each other and bisect both pairs of opposite sides of the rectangle.

Therefore, a rectangle has two lines of symmetry, one horizontal and one vertical, which make it a symmetrical shape.

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The surface area of the triangular prism is 672 square millimeters.

what is surface area ?

Surface area is a metric used to determine how much overall space an object occupies. the total volume of the area of surface of a three-dimensional shape. The term "surface area" refers to a three-dimensional shape's entire surface area.

The triangular base has a height of 7 mm and a base of 24 mm, so its area is:

[tex]1/2 * base * height = 1/2 * 24 \ mm * 7\ mm = 84 \ mm^2[/tex]

There are two identical triangular faces, so their combined area is:

[tex]2 * 84 \ mm^2 = 168\ mm^2[/tex]

The three rectangular faces are all the same size, with a length of 24 mm and a height of 7 mm, so the area of each is:

[tex]length * height = 24 \ mm * 7 \ mm = 168 \ mm^2[/tex]

There are three rectangular faces, so their combined area is:

[tex]3 * 168\ mm^2 = 504\ mm^2[/tex]

To find the total surface area, we add the area of the two triangular faces to the area of the three rectangular faces:

[tex]168 \ mm^2 + 504 \ mm^2 = 672 \ mm^2[/tex]

Therefore, the surface area of the triangular prism is 672 square millimeters.

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Out of the following minerals hornblende is made up of more than one element. Therefore, option D is the correct answer.

Solid, naturally occurring materials known as minerals have a particular chemical makeup and crystal structure. They can be discovered in rocks, soil, and water and are primarily created by geological processes. Minerals are crucial for our bodies' nutritional needs as well as for the construction of structures and the manufacture of electronics, among other facets of our daily life.

Hornblende is a mineral made up of multiple elements, including calcium, magnesium, iron, aluminum, silicon, and sometimes sodium and potassium. The other minerals listed, copper, silver, and gold, are each made up of a single element.

Therefore, the correct option is d. Hornblende

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Answer:

The answer for Probability is 1/2

Step-by-step explanation:

7,6,8,1,54,23

Probability of spinning an odd number greater than 3=1,7,23

P=3/6

P=1/2

Answer:

i would say at least a 70

and i hope you do well

hope this helps ;)

The solutions to the dividing fractions prompts are as follows:

6. 4/3

7. 2/13

8. 33/2

9. 24/35

10. 63/20

To solve the divisions, note that the second divisor is inversed and multiplied. For the following problems, the divisions can be gotten as follows:

6. 8/9 ÷ 2/3

= 8/9 × 3/2

=24/18

=4/3

7. 12/13 ÷ 6

= 12/13 × 1/6

= 12/78

=6/39

= 2/13

8.  11/5 ÷ 2/15

= 11/5 × 15/2

165/10

= 33/2

9. 6/7 ÷ 5/4

6/7 × 4/5

= 24/35

10. 7/2 ÷ 10/9

7/2 × 9/10

63/20

So, the above are ways to determine the step-by-step answers.

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Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

To find the LCM of 24 and 6, we can use the prime factorization method.

First, we find the prime factorization of each number:

24 = 2 x 2 x 2 x 3

6 = 2 x 3

Then, we identify the highest power of each prime factor that appears in either number.

The prime factor 2 appears three times in 24, but only once in 6. Therefore, we take the highest power of 2, which is 2 x 2 x 2 = 8.

The prime factor 3 appears once in both numbers, so we take the highest power of 3, which is 3.

Finally, we multiply these together to get the LCM:

LCM(24, 6) = 8 x 3 = 24

Therefore, the LCM of 24 and 6 is 24.

~~~Harsha~~~

Answer: LCM of  24 and 6 is 24

Step-by-step explanation:

1/(x-2)². The correct option is C

The quotient rule is a formula used in calculus to find the derivative of a function that is the quotient of two other functions. Specifically, it gives the formula for finding the derivative of a function of the form f(x) = g(x) / h(x), where g(x) and h(x) are both functions of x.

We can use the quotient rule to find the derivative of h(x):

h(x) = (x+2)/(x-2)

h'(x) = [ (x-2)(1) - (x+2)(1) ] / (x-2)^2 (apply quotient rule)

Simplifying the numerator, we get:

h'(x) = [ x-2 - x-2 ] / (x-2)^2

h'(x) = -4 / (x-2)^2

Therefore, the answer is (C) 1/(x-2)².

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The data that appears to have a consistent rate of change over time or with respect to another variable often appears to be linear.

The data that has a clear trend or pattern that can be represented by a straight line is best modeled using a line.

Linear graphs are useful because they allow us to easily visualize and analyze trends or patterns in data. The equation of a line can also be used to make predictions or forecasts based on the data. Linear graphs can be used to identify correlations between variables and to assess the strength and direction of those correlations.

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Answer:

Step-by-step explanation:

The angle AOB is approximately 98 degrees.

The measure of the angle AOB of the sector can be found as follows:

AOB is the central angle.

Therefore,

length of an arc = ∅ / 360 × 2πr

where

Therefore,

12 = ∅ / 360 × 2 × 3.14 × 7

12 = 43.96∅ / 360

cross multiply

360 × 12 =  43.96∅

4320 = 43.96∅

divide both sides by 43.96

∅ = 4320 / 43.96

∅ = 98.271155596

Therefore,

∅ = 98 degrees

AOB = 98 degrees

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The area of the triangle LMN is A = ( 1/2 ) x base x height

Given data ,

Let the triangle be represented as ΔLMN

Now , the base of the triangle be , b = MN

Let the height of the triangle be = h

Now , the area of the triangle is A = b x h

On simplifying , we get

A = LM x MN

Therefore , the value of A = base x height

Hence , the area of triangle is solved

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The value of x is given as follows:

x = 4.2 cm.

The value of x is obtained applying the proportions in the context of the problem.

The ratio between the volumes is given as follows:

3375/512 = 6.59

The side lengths are measured in units, while the volume is measured in cubic units, hence the proportion to obtain the value of x is given as follows:

8/x = cubic root of 6.59

8/x = 1.9

x = 8/1.9

x = 4.2 cm.

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