State what additional information is required in order to know that the triangles are congruent for the reason given.
MULTIPLE CHOICE

refer to attachment
I WILL GIVE BRAINLIEST! PLS HELP!

Answer: 111 ft tall. Thats a big tree!

Step-by-step explanation: if its seven more than two times the height of the house, do 52 X 52 + 7 which equals 111 ft.

Considering the situation described, the hypothesis tested are given as follows:

At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:

\(H_0: \sigma \geq 23\)

At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:

\(H_1: \sigma < 23\)

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Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

To find the missing side lengths of the right triangle ABC, we would apply SOH CAH TOA, where necessary.

Thus:

Reference angle (∅) = 60

Adjacent = 4√3

Opposite = ?

Apply TOA:

tan 60 = opp/adj

tan 60 = Opp/4√3

√3 = opp/4√3

Opposite = √3 × 4√3

Opposite = 12

Find the other missing side:

Reference angle (∅) = 60

Adjacent = 4√3

Hypotenuse = ?

Apply CAH:

cos 60 = adj/hyp

cos 60 = 4√3/hyp

hyp = 4√3/cos 60

hyp = 4√3/1/2

hyp = 4√3 × 2

hyp = 8√3

Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

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Answer:

Step-by-step explanation:

Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

Trigonometry Ratios

To find the missing side lengths of the right triangle ABC, we would apply SOH CAH TOA, where necessary.

Thus:

Reference angle (∅) = 60

Adjacent = 4√3

Opposite = ?

Apply TOA:

tan 60 = opp/adj

tan 60 = Opp/4√3

√3 = opp/4√3

Opposite = √3 × 4√3

Opposite = 12

Find the other missing side:

Reference angle (∅) = 60

Adjacent = 4√3

Hypotenuse = ?

Apply CAH:

cos 60 = adj/hyp

cos 60 = 4√3/hyp

hyp = 4√3/cos 60

hyp = 4√3/1/2

hyp = 4√3 × 2

hyp = 8√3

Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

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Answer:

it's C

Step-by-step explanation:

pink or purple hamster plz :D

omg paint strips, that's the way to go

Answer:

hi i think the answer shouldbe 34/43 as its out of 43 and there is 34 people on the internet. I think this should be write but it may  be wrong. if this is right please vote for brainliest. i hope my answer is right and this helps bye.

Answer:

If you did not break it, Then you did not by it.

Step-by-step explanation:

Answer:

Draw the number line and tge answer is at 3

Answer:

x<3 1/9

Draw an open circle above 3 1/9 with a line going to the left.

Step-by-step explanation:

x+2 1/2>4x-6 2/3

2 1/2+6 2/3>4x-x

2 3/6+6 4/6>3x

9 2/6>3x

(9 1/3)/3>x

3 1/9>x

x<3 1/9

Draw an open circle above 3 1/9 with a line going to the left.

Triangle ABC can be proved congruent to Triangle CDE thanks to the SAS Congruence Postulate.

To prove that triangles ABC and CDE are congruent, we shall apply the SAS (Side-Angle-Side) Congruence Maxim. This rule articulates that if two sides with their related angles of one triangle are equivalent to the corresponding sides and angles of another triangle, then the two triangles are congruent.

Given what is provided, Side AB is proportionate to side DC; angle ABC is cognate to angle CDE; further still, side AC closely corresponds to side CE. Utilizing this data in combination with the SAS Congruence Maxim, triangle ABC can be validated as being congruent to triangle CDE.

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Answer:

it's  equals 7

Step-by-step explanation:

a) The standard matrix of the linear transformation T is

|cos(3°) -sin(3°)|

|sin(3°) cos(3°)|

(b) The standard matrix of the linear transformation T

| 0 1 |

|-1 0 |

(c) The standard matrix of the linear transformation T

| 1 0 0 |

| 0 0 0 |

| 0 0 1 |

d) the standard matrix of T is:

|-5x² + 4x³   0           |

| 0               x²  - 6x³ |

(a) The standard matrix of the linear transformation T in this case is:

cos(3°) -sin(3°) 0

sin(3°) cos(3°) 0

Thus, the standard matrix of T is:

|cos(3°) -sin(3°)|

|sin(3°) cos(3°)|

(b) The standard matrix of the linear transformation T in this case will be

1 0

0 -1

Multiplying by the reflection across the line y = x:

| 0 1 |

| 1 0 |

Thus, the standard matrix of T is:

| 0 1 |

|-1 0 |

(c) The standard matrix of the linear transformation T in this case is:

1 0 0

0 0 0

0 0 1

Thus, the standard matrix of T is:

| 1 0 0 |

| 0 0 0 |

| 0 0 1 |

(d)

The standard matrix of the linear transformation T in this case is:

|-5x² + 4x³   0           |

| 0               x²  - 6x³ |

Thus, the standard matrix of T is:

|-5x² + 4x³   0           |

| 0               x²  - 6x³ |

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Answer:

4

Step-by-step explanation:

I think I'm not that sure

Answer:

h = 0

Step-by-step explanation:

Ok, I got you.

To begin, everyone knows that y = mx + b is the equation for any slope-intercept form problem.

y = the y - value of a point

m = the slope

x = the x - value of a point

b = the y - intercept (or where the line starts)

So, you are given the slope, and you're given the y - value. But, you don't have the x - value in the second point.

That mean's you're going to have to use the first point, because you're given both the x and y values, to find the y - intercept.

Simply, plug in the y and x values where they belong.

2 = 6 (-1) + b

(Remember the 6 is the slope)

Now, solve for b.

2 = -6 + b

8 = b

Now, you know the y - intercept.

So, you can find the value of h in the second point. Since you don't know the x - value, plug in what you do know and solve for y.

So...

8 = 6 (x) + 8

(Remember 6 is the slope and 8 is the y - intercept)

Now, solve for x.

8 = 6x + 8

0 = 6x

0 = x

The value of h is 0.

I hope this helps :)

The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.

The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.

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Answer:

Step-by-step explanation:

Answer:

y=-3/2x+4

Step-by-step explanation:

The probability that the sample average amount of time taken on each day is at most 11 min is 0.210.

Given data,

The time it takes a randomly chosen mortgage applicant to complete a certain form has a normal distribution with a mean value of 8 minutes and a standard deviation of 4 minutes. What is the likelihood that the sample average time taken on each day is at most 11 minutes if five people complete out a form on one day and six on another?

The normal distribution is a continuous distribution of data that has a bell-shaped curve. The normally distributed random variable x has to mean μ and standard deviation σ.

Also, the standard normal distribution represents a normal curve with a mean of 0 and a standard deviation of 1. Thus, the parameters involved in a normal distribution are mean μ and standard deviation σ.

Standardized z-score:

The standardized z-score represents the number of standard deviations the data point is away from the mean.

→ If the z-score takes a positive value when it is above the mean (0).

→ If the z-score takes a negative value when it is below the mean (0).

Let,

X ~ N = [x,σ/√n]

z = X - μ/ σ/√n

The probability that the sample average amount of time taken on each day is at most 11 min is obtained below,

From the given information, the sample size for the first day is 5 and the sample size for the second day is 6.

P(X ≤ 11 and Y ≤ 11) = P(X ≤ 11) * P(Y ≤ 11)

                               = P(z ≤ 1.67) * P(z ≤ 1.83)

                               =  0.452 * 0.466

                               = 0.210

Hence, the probability that the sample average amount of time taken on each day is at most 11 min is 0.210.

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Answer:

75

it has to be smaller then 87 and bigger then 53

the option c) has the greatest density of approximately 4.545 g/cm³.

To determine the liquid with the greatest density, we can calculate the density for each option using the formula:

Density = Mass / Volume

a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³

b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³

c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³

d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³

e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³

Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.

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Complete question is below

Which of the following liquids has the greatest density?

a) 1.3 cm³ with a mass of 2.3 g

b) 3.5 cm³ with a mass of 10 g

c) 0.022 cm³ with a mass of 0.10 g

d) 5.4 cm³ with a mass of 0.64 g

e) 0.21 cm³ with a mass of 0.12 g

Answer:

11. c > 5

12. option 1

Step-by-step explanation:

Answer:

The image of triangle ABC after the translation 5 units to the right and 5 units down is A'B'C' with vertices at (3, -1), (-2, -6), and (2, -8).

Step-by-step explanation:

To prove that triangle ABC is isosceles, we need to show that at least two of its sides have the same length. We can use the distance formula to calculate the length of each side:

AB = sqrt[(−7−(−2))^2 + (−1−4)^2] = sqrt[25 + 25] = 5sqrt(2)

AC = sqrt[(−3−(−2))^2 + (−3−4)^2] = sqrt[1 + 49] = sqrt(50)

BC = sqrt[(−7−(−3))^2 + (−1−(−3))^2] = sqrt[16 + 4] = 2sqrt(10)

Since AB and AC have different lengths, triangle ABC cannot be equilateral. However, if we compare AB and BC, we see that they have the same length, 5sqrt(2). Therefore, triangle ABC is isosceles.

To find the coordinates of A'B'C' after the translation 5 units to the right and 5 units down, we simply add 5 to the x-coordinates and subtract 5 from the y-coordinates of each vertex. Thus:

A' = (-2+5, 4-5) = (3, -1)

B' = (-7+5, -1-5) = (-2, -6)

C' = (-3+5, -3-5) = (2, -8)

Therefore, the image of triangle ABC after the translation 5 units to the right and 5 units down is A'B'C' with vertices at (3, -1), (-2, -6), and (2, -8).

Answer:

-3 + 9i

Step-by-step explanation:

The conjugate of -3i is - 3 - i.

(- 3 i) × (- 3 - i)

Multiply both terms.

-3 + 9i

The multiplication of the complex number -3i and it’s conjugate 3i is 9.

A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.

For the given situation,

The complex number is -3i.

The conjugate of a complex number a+bi is a-bi.

So, the conjugate of a complex number \(-3i\) is \(3i\)

Now multiply -3i and 3i, we get

⇒ \((-3i)(3i)\)

⇒ \(-9(i^{2} )\)

⇒ \(-9(-1)\)               [∵ \(i^{2}=-1\)]

⇒ \(9\)

Hence we can conclude that the multiplication of the complex number -3i and it’s conjugate 3i is 9.

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the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:

95% confidence, within 5 percentage points, and a previous estimate of 0.25.

The formula to calculate the sample size required for the study to determine the proportion is given by:

`n = Z²pq / E²`

Where n = sample size

Z = z-value (1.96 at 95% confidence interval)

E = margin of error

p = estimated proportion of the population

q = 1 - pp

q = estimated proportion of population without the condition (1 - 0.25 = 0.75)

Given,

Z = 1.96E = 0.05p = 0.25q = 0.75

Substituting these values in the above formula, we get;

`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`

Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

i think it's 55 but I'm bad at math

Answer:

Q3 = 223

Step-by-step explanation:

The given data is:

198, 199, 199, 200, 202, 212, 215, 223, 223, 223, 301

Let us use the quartile formula for the Quartile 3 (Q3):

\(Q_3 = (N + 1) * \frac{3}{4}\)

N = number of data points= 11

Therefore:

\(Q_3 = (11 + 1) * \frac{3}{4} \\\\Q_3 = 12 * 3/4\\\\Q_3 = 9\)

Therefore, the upper quartile (Q3) is the 9th data point i.e. 223

Answer:

If you're wondering what the Q1 is it is 199.

Step-by-step explanation:

As per the details given, there are 37 dots in the 5th step.

To locate the pattern and decide the range of dots in the 5th step, allow's examine the given records:

Step 1: 6 dots

Step 2: 14 dots

Step 3: 21 dots

Looking on the variations between consecutive steps, we will see that the quantity of additional dots in each step is growing via eight.

In other phrases, the distinction among Step 1 and Step 2 is eight, and the difference between Step 2 and Step 3 is likewise eight.

Thus, we can preserve this sample to decide the quantity of dots within the 4th and 5th steps:

Step 4: 21 + 8 = 29 dots

Step 5: 29 + 8 = 37 dots

Therefore, there are 37 dots in the 5th step.

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Based on the statistical analysis at the 0.01 level of significance, there is not enough evidence to show that a statistically significant linear relationship exists between the independent and dependent variables.

To determine if a statistically significant linear relationship exists between the independent and dependent variables, a statistical test such as a regression analysis can be conducted. The 0.01 level of significance indicates a high threshold for accepting the presence of a relationship.

In this case, after conducting the analysis, the results indicate that the p-value associated with the test statistic is greater than 0.01. This means that the observed relationship between the independent and dependent variables is not statistically significant. The p-value represents the probability of obtaining a test statistic as extreme as the one observed, assuming there is no true relationship between the variables.

Therefore, based on the data and the statistical analysis conducted, there is not enough evidence to conclude that a statistically significant linear relationship exists between the independent and dependent variables. It is important to note that this conclusion is specific to the given data set and the chosen level of significance.

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Answer:

Bro you have got the answer as 17 I don't know how

Step-by-step explanation:

Please mark me as brainliest

If the length of rectangle is 5.25, then the area of rectangle will be less than 25 square meters.

What is area of rectangle?

Area of rectangle is the region covered by the rectangle in a two-dimensional plane. A rectangle is a type of quadrilateral, a 2d shape that has four sides and four vertices.

We know the perimeter of rectangle is 20 meters. So according to formula of Perimeter of rectangle = 2 (L + B) we can conclude that sum of length and width will be 10 meters.

We are given length as 1, 3, 5, 7, and 9.

So width of the rectangle will be 9, 7, 5, 3 and 1.

Area of Rectangle = L x B

So area of rectangle will be 9, 21, 25, 21, and 9.

If the length of rectangle is 5.25, then the area of rectangle will be less than 25 square meters.

Values are changing in a linear way and not in an exponential way.

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It would take approximately 100,000 quarters to reach a height of 575 ft, the height of the Washington Monument, when stacked vertically.

To determine the number of quarters required to reach the height of the Washington Monument, we need to calculate the number of quarters stacked that would equal a height of 575 ft.

The height of the Washington Monument is given as 575 ft. We need to find out how many quarters, which have a thickness of approximately 0.069 inches or 0.00575 ft, would need to be stacked to reach this height.
First, we convert the height of the Washington Monument to inches: 575 ft × 12 inches/ft = 6,900 inches.
Next, we calculate the number of quarters needed by dividing the total height in inches by the thickness of a single quarter: 6,900 inches ÷ 0.069 inches/quarter.
Using this calculation, we find that approximately 100,000 quarters would need to be stacked to reach the height of the Washington Monument.
Therefore, it would take approximately 100,000 quarters to reach a height of 575 ft, the height of the Washington Monument, when stacked vertically.

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The possible length and width of the rectangular field are (5x - 1) and (3x + 2),

In order to determine the length and width of the rectangular field, it is necessary to factorize the expression for the area. 15x^2 + x - 2 = (5x - 1)(3x + 2)

The factored expression is now in the form (length)(width).

Therefore, the possible length and width of the rectangular field are (5x - 1) and (3x + 2), respectively.

To check the result, we can use the formula for the area of a rectangle, which is: A = lw   Where A is the area, l is the length, and w is the width.

Substituting the expressions for l and w, we get: A = (5x - 1)(3x + 2)

Expanding the expression, we get: A = 15x^2 + 7x - 2

Comparing this with the given expression for the area, we can see that they are the same.

Therefore, the expressions (5x - 1) and (3x + 2) are indeed the length and width of the rectangular field, respectively.

In conclusion, the possible length and width of the rectangular field are (5x - 1) and (3x + 2), respectively. The area of the field can be expressed as the product of these two expressions, which is equal to 15x^2 + x - 2.

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Answer:

(3, -5) are the coordinates.