Points J and L lie on line m . Point K lies on line p . If lines m and p are parallel, describe how the area of \triangle J K L will change as K moves along line p .

To graph the two triangles on the same coordinate plane, we plot the coordinates of their vertices.The two triangles are not congruent.

The coordinates are :

Triangle XYZ:

X(2, 8)

Y(-4, 8)

Z(2, 4)

Triangle ABC:

A(8, -2)

B(8, 4)

C(4, -2)

Now, let's plot the points and connect them to form the triangles.

Triangle XYZ is formed by connecting points X, Y, and Z:

X(2, 8) Z(2, 4)

| /

| /

| /

Y(-4, 8)

Triangle ABC is formed by connecting points A, B, and C:

A(8, -2) C(4, -2)

| /

| /

| /

B(8, 4)

Visually, we can see that the two triangles are not congruent. Congruence between two triangles requires that their corresponding sides and angles are equal. In this case, the corresponding sides of Triangle XYZ and Triangle ABC are not equal in length, and the corresponding angles are not equal in measure. Therefore, the two triangles are not congruent.

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\(1 \frac{2}{3} \times 3 \frac{1}{2} \\ \\ = \frac{5}{3} \times \frac{7}{2} = \frac{35}{6} \\ \\ = 5.83 = \frac{35}{6} = 5 \frac{5}{6} \)

I hope I helped you^_^

Answer:

35 /6  =  5 5/ 6

Step-by-step explanation:

1 2 /3  × 3 1 /2 is just like 5 /3  ×  7 /2 so 5x7 and 3x2 equals 35/6 but in mixed from it is 5 5/6.  

The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)

Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

To calculate the number of adults who chose basketball, we sum up the values from the age range categories:

Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball

Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:

Number of adults who chose basketball = 15 + 8 + 11 = 34

Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:

Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)

From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:

Total number of surveyed adults = 49 + 48 + 52 = 149

Now, we have the values we need to calculate the proportion:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

= 34 / 149

Hence the correct option is (a).

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Answer:

A.13/24

hope it's helpful

4: 15 would be The scale factor to size a 12 by 16 photo to a 24 by 30 photo.

The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary throughout a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of size significant in two different ways.

Given sizes a 12 by 16 photo to a 24 by 30 photo,

From the general formula of scale factor:

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

In our case

Dimension of the new shape = 24 *30

Dimension of the original shape = 12* 16

Thus,

Scale factor = 12*16/24*30

Scale factor = 4/15

Therefore, The scale factor to size a 12 by 16 photo to a 24 by 30 photo, will be 4: 15.

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Answer:

It's an adjective. means regularly occurring, persustent; or, unchanging, in value, nature, or respect.

Answer:

30% of 30

Step-by-step explanation:

For a sample of 72 batteries, the probability that the average battery life of the sample exceeds 1173.8 minutes is 0.9918.

It states a battery life variance of 8100 minutes and a median battery life of 1192 minutes.

In a sample of 72 batteries, find the probability that the average battery life (x) of the sample exceeds 1173.8 minutes.

Due to the large sample size (n = 72), we can use the central limit theorem to assume that the sample mean follows a normal distribution with mean μ = 1192 and standard deviation σ = sqrt(8100/72) = 30.

So the z-score for x= 1173.8 is

z = (x - μ) / (σ / sqrt(n))

= (1173.8 - 1192) / (30 / square(72))

= -2.4

You can use a standard normal distribution table or calculator to find the probability that a  standard normal random variable is greater than -2.4. This is 0.9918 (rounded to four decimal places).

Therefore, for a sample of 72 batteries, the probability that the average battery life of the sample exceeds 1173.8 minutes is 0.9918 (rounded to four decimal places) if the claim is correct. 

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Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm

Answer:

it's the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

He bhn n

Answer:

\((x^3+5x^2+11x+28) / (x+4) = x^2+x+7\)

Answer:

I'm pretty sure the answer would be 3.

Step-by-step explanation:

I'm not super sure but that makes sense

Answer:

a) The function has a maximum at  x = 29,59

b) 99,32 %

Step-by-step explanation:

f(x) = -0,11*x² + 6,51*x + 3

Then:

f´(x) = -0,22*x + 6,51

If   f´(x) = 0   then    - 0,22*x + 6,51 = 0

0,22*x = 6,51

x = 6,51/0,22    ⇒     x = 29,59

if we get the second derivative

f´´(x) = - 0,22       f´´(x) < 0   then we have a maximun at x = 29,59

a) the function has a maximum

b) 29,59 years after 2000   ( in 2030 )

c) f(x) = - 0,11*x² + 6,51*x + 3

f(29,59) = - (0,11)* (29,59)² + 6,51*29,59 + 3

f(29,59) = 99,32 %

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

The rate of decrease of the side of the cube with a side of 6 cm is 0.25 cm per second.

The rate of decrease of the side of an ice cube can be calculated by considering the volume of the cube. The volume of the cube is decreasing at a rate of 1.5 cm3 per second. Therefore, the rate of decrease of the side of the cube is proportional to the cube's volume.

To calculate the rate of decrease of the side of the cube, we need to use the formula for the volume of a cube, which is: V = s3, where V is the volume and s is the side of the cube.

Since we know that the volume of the cube is decreasing at a rate of 1.5 cm3 per second, we can calculate the rate of decrease of the side of the cube by substituting the value of the rate of decrease of the volume and the current side of the cube (6 cm) into the formula.

Therefore, the rate of decrease of the side of the cube is equal to 1.5 cm3 per second divided by 6 cm3, which is equal to 0.25 cm per second.

In conclusion, the rate of decrease of the side of the cube with a side of 6 cm is 0.25 cm per second.

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Answer:

x=10

Step-by-step explanation:

a^2=b(b+c)

12^2=8(8+x)

144=64+8x

-64 -64

______

80=8x

x=10

Answer:

2x2x2x3

Step-by-step explanation:

Answer:

A=a^2

Step-by-step explanation:

Geometry:

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted \square ABCD.

Square Roots:

In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

In 13.567% of the 30 cities, the mean prevalence of childhood asthma will be higher than 2.5%.

Given that:

X: childhood asthma prevalence

With mean u = 2.22%

and standard deviation σ= 1.39%

To find : Determine the probability that the average prevalence of childhood asthma in a sample of n cities is higher than 2.5%.

Although we are unsure about the distribution of the variable, keep in mind that from n ≥ 30, the sampling distribution can be roughly compared to the normal distribution according to the central limit theorem:

X≈N(μ;σ²/n)

Additionally, compute the requested probability using the standard normal distribution:

P(X>2.5)= 1 - P(X≤2.5)

Determine the Z value given the X value:

Z = (X - u)/ (σ/√n)

Z = (2.5-2.2)/(1.39/√30)

Z = 1.10

Using the Z-tables you have to look for the value of

P(Z≤1.10)= 0.86433

1 - 0.86433= 0.13567

Then P(X>2.5)= 1 - P(X≤2.5)= 1 - P(Z≤1.10)= 1 - 0.86433= 0.13567

So, 13.567% of the 30 cities will have a mean childhood asthma prevalence greater than 2.5%

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An atom with mass number 16 and nine neutrons corresponds to nitrogen (N). The compound with 10.0 g carbon and 13.32 g oxygen has 57.1% oxygen, while the compound with 10.0 g carbon and 26.64 g oxygen has 72.8% oxygen. The atomic symbol for an atom with 16 neutrons and atomic number 15 is \(^{31}P\) (phosphorus isotope). Elements Li, Na, K, Rb are Alkali Metals; Be, Mg, Ca, Sr, Ba are Alkaline Earth Metals; F, Cl, Br, I are Halogens; He, Ne, Ar, Kr, Xe, Rn are Noble Gases.

Part a) An atom with a mass number of 16 and nine neutrons would have an atomic number of 7. The atomic number represents the number of protons in an atom, which uniquely identifies an element.

Therefore, the element with an atomic number of 7 is nitrogen (N). Nitrogen has a mass number of 14, but the given atom has an additional two neutrons.

Part b) To calculate the percentage of oxygen in a compound, we need to determine the mass of oxygen relative to the total mass of the compound and multiply by 100.

Compound 1: 10.0 g carbon + 13.32 g oxygen

The total mass of the compound is 10.0 g + 13.32 g = 23.32 g.

The mass percentage of oxygen is (13.32 g / 23.32 g) × 100% = 57.1%.

Compound 2: 10.0 g carbon + 26.64 g oxygen

The total mass of the compound is 10.0 g + 26.64 g = 36.64 g.

The mass percentage of oxygen is (26.64 g / 36.64 g) × 100% = 72.8%.

Part c) An atomic symbol represents an element and includes its atomic number as a subscript and the mass number as a superscript. Given 16 neutrons and an atomic number of 15, the element is phosphorus (P).

The atomic symbol for this isotope of phosphorus is ^31P (with 15 as the atomic number and 31 as the mass number).

Part d)

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

Therefore, the elements can be classified as follows:

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

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The general form of the regression equation is y = a + bx

A regression equation is a statistical model used to identify the relationship between a dependent variable (Y) and one or more independent variables (X) in a dataset. The regression equation is used to make predictions by identifying how a change in one variable affects the other variables. The general form of the regression equation is y = a + bx, where 'y' is the dependent variable, 'x' is the independent variable, 'a' is the intercept value, and 'b' is the slope value.

Therefore, the general form of the regression equation is y= a+bx

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Answer: 81 is the answer but it says what scores so you might be able to put 81 and above for example 82 83 84 and so on.

Step-by-step explanation:

If you add 91 93 and 95 you should get 279 then subtract 279 from 360 which will get u the answer which is 81 simple right now please giva a thanks like and rating if you found this helpful.

The correct answer is (C). There is a negative association between being male and favoring the color blue because the number of males who chose blue is smaller than the number of males who chose the other colors. From the given data, we can see that only 4 males chose blue, while 12 chose red and 24 chose green. This means that blue was the least favorite color among males.

Option (A) is incorrect because the number of males and females who responded to the survey is not relevant to the association between being male and favoring the color blue.

Option (B) is incorrect because it suggests that females favored the color blue more than males, which is not supported by the given data.

Option (D) is incorrect because it only compares the percentages of males and females who chose blue, without considering the percentages of other colors.

Option (E) is also incorrect because it only considers the percentages of males and females who chose blue, without considering the overall distribution of colors among males and females.

So, the answer is option C.

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The position of an object moving along a line is given by the function s(t)=−4t²+24t, we need to find the average velocity of the object over the following intervals.(a) [1,10]The average velocity of the object is given by the formula: v_avg = (Δs) / (Δt)Δs = s(10) - s(1)= -4(10²) + 24(10) - (-4(1²) + 24(1))= -400 + 240 + 4 - 24= -180mΔt = 10 - 1= 9sSubstitute the values of Δs and Δt in the formula:v_avg = (Δs) / (Δt)=-180/9=-20m/s(b) [1,9]Δs = s(9) - s(1)= -4(9²) + 24(9) - (-4(1²) + 24(1))= -324 + 216 + 4 - 24= -128mΔt = 9 - 1= 8s

Substitute the values of Δs and Δt in the formula:v_avg = (Δs) / (Δt)=-128/8=-16m/s(c) [1,8]Δs = s(8) - s(1)= -4(8²) + 24(8) - (-4(1²) + 24(1))= -256 + 192 + 4 - 24= -84mΔt = 8 - 1= 7s

Substitute the values of Δs and Δt in the formula:v_avg = (Δs) / (Δt)=-84/7=-12m/s(d) [1, 1+h] where h > 0 is any real number.Δs = s(1 + h) - s(1)= -4(1 + h)² + 24(1 + h) - (-4(1²) + 24(1))= -4(1 + 2h + h²) + 24(1 + h) - 4 + 24= -4 - 8h - 4h² + 24 + 24h - 4 + 24= 40h - 4h²Δt = (1 + h) - 1= h

Substitute the values of Δs and Δt in the formula:v_avg = (Δs) / (Δt)=(40h - 4h²) / h= 40 - 4h

Explanation:From the above results, we can conclude that the average velocity of the object is -20 m/s for the interval [1,10], -16 m/s for the interval [1,9], -12 m/s for the interval [1,8], and 40 - 4h for the interval [1, 1+h].

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A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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Answer:

h=9

Step-by-step explanation:

I did this one and it was right for pre- algebra,

Answer:

check in my page someone will answer it for me

Step-by-step explanation:

then you get your answer