Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!

Please Answer Correctly !!!!!!!!!!!!!!!! Will Mark Brainliest !!!!!!!!!!!!!!!!!

Answers

Answer 1

T is a point in the line segment SU

ST + TU = SU

ST = 6

TU = 5

SU = 6+5 = 11

HOPE THIS WILL HELP....


Related Questions

Two bikers meet at a park. Biker A needs to stop at the store that is 12 miles east of the park. Biker B heads southeast at a 61° angle at the same time for 24 miles. Once biker A leaves the store he heads southwest at an angle of 89° for 21 miles. Do NOT use the law of cosines, use your knowledge from the content of this course.

a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given.
b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other?
c. What is the measure of the angle between the bikers?
d. What is the relationship between the measure of the angles and the paths the bikers took?
e. Classify the triangle the paths created.
f. How many miles did they travel together?

Answers

Answer:

a. We need to determine if the two paths intersect or not. Biker A travels due east while Biker B travels southeast at a 61° angle. Since 61° is less than 90°, Biker B's path will intersect with Biker A's path.

b. Since the paths intersect, the bikers do not need to travel any farther to meet each other.

c. The angle between the two paths can be found by subtracting the angles formed by each path with the horizontal. The angle formed by Biker B's path with the horizontal is 61°, and the angle formed by Biker A's path with the horizontal is 180° - 89° = 91°. Therefore, the angle between the two paths is 91° - 61° = 30°.

d. The measure of the angles formed by the paths the bikers took add up to 180°. Since one angle is 61° and the other is 91°, the third angle must be 180° - 61° - 91° = 28°. The paths are not parallel since the angle between them is not 0° or 180°.

e. Since the paths intersect and the angles are all different, the triangle formed by the paths is scalene.

f. To determine how far the bikers traveled together, we need to find the length of the segment that joins the points where the paths intersect. To do this, we can use trigonometry. Let x be the distance from the intersection point to the end of Biker A's path. Then, we can use the fact that the tangent of 30° is equal to the opposite side over the adjacent side in the right triangle formed by Biker A's path, the segment joining the two paths, and a vertical line passing through the intersection point. We get:

tan(30°) = x / 12

x = 12 * tan(30°)

x ≈ 6.93

Therefore, the two bikers traveled together for a distance of 6.93 miles.

X=3n-18 the measure of Y=2n-27

Answers

I hope this helps you
Good luck
X=3n-18 the measure of Y=2n-27
I hope this helps to good luck
X=3n-18 the measure of Y=2n-27

XYZ is Shown Below


Determine the value of x.

XYZ is Shown BelowDetermine the value of x.

Answers

Answer:

x = 10

Step-by-step explanation:

Every triangle has 180o. Just add the three angles together.

8x + 5 + 3x + 25 + 4x = 180         Combine the like terms.

15x + 30 = 180                              Subtract 30 from both sides

15x = 180 - 30                              Combine

15x = 150                                      Divide by 15

x = 150/15

x = 10

Answer:

10

Step-by-step explanation:

8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)

8x + 3x + 4x + 5° + 25° = 180°

15x + 30° = 180°

15x = 180° - 30°

15x = 150°

x = 150/15

x = 10°

hope it helps u!

professional tennis players may constitute a(n) group for an amateur tennis player who identifies with certain players by imitating their behavior whenever possible despite the fact that the amateur tennis player does not qualify for membership as a professional tennis player because he/she has neither the skills nor the opportunity to compete professionally.

Answers

Professional tennis players may constitute a(n) symbolic group for an amateur tennis player

A symbolic group is one in which a person is unlikely to be accepted even if they act like a member by emulating their beliefs, attitudes, and behaviors. For young people, cricket players like Sachin Tendulkar, Sourav Ganguly, etc., may serve as a representative group. By concentrating on the small scale, symbolic interactionism examines the individual within a community and their relationships with others.

Similar to this, professional tennis players may serve as a symbolic group for an amateur tennis player who identifies with certain players by mimicking their behavior whenever possible, even though the amateur tennis player does not meet the criteria for membership in the category of professional tennis players because he or she does not have the necessary skills or access to the professional circuit.

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What is 91.35 divided by 36.75

Answers

Answer:

2.48571428571

Step-by-step explanation:

Answer: 2.48

Step-by-step explanation:

 What is 91.35 divided by 36.75

please help me with this problem

please help me with this problem

Answers

It’s taking 8 away every time so 88-8 80 then 80-8 72. Hope this helps.

Answer:the question is cut off

Step-by-step explanation:

Dalia flies an ultralight plane with a tailwind to a nearby town in 1/3 of an hour. On the return trip, she travels the same distance in 3/5 of an hour. What is the average rate of speed of the wind and the average rate of speed of the plane

Answers

To find the average rate of speed of the wind and the plane, we can use the formula: distance = rate × time.  Therefore, the average rate of speed of the wind is P/3.5, and the average rate of speed of the plane is P.

we have the equation: distance = (P + W) × 1/3. On the return trip against the headwind, the effective speed of the plane is the difference between the plane's rate and the wind's rate: P - W. Given that the time taken is 3/5 hour, we have the equation: distance = (P - W) × 3/5. Since the distance traveled is the same in both cases, we can set up the following equation: (P + W) × 1/3 = (P - W) × 3/5.

On the left side, we have (P + W) × 1/3 = (P/3) + (W/3).
On the right side, we have (P - W) × 3/5 = (3P/5) - (3W/5).
Simplifying further, we have 5W + 9W = 9P - 5P.
Combining like terms, we get 14W = 4P.
Finally, we can divide both sides by 4 to solve for W: W = P/3.5.

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Please help!


A model car is for sale online. The owner
discounts the price by 5% each day until it
sells. On the third day the car sells. If the
original price of the model car was $40,
how much did the car sell for? What percent
discount does this represent from the
original price?

Answers

Answer: the model car sold for $34, at a 15% discount.

Step-by-step explanation:

first multiply 5% by 3 days, for a total discount of 15%.

then apply the 15% discount to the $40 car, arriving at a price of $34.

Answer:

The car sold for 34 .

Step-by-step explanation:

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find the rate for the next term
a. 2,5,14,41,122
b. 1,5,13,29,61
c.1,212,34,78,166
d.6,9,15,27,51

Answers

The rates for the following term in the year a, is \(365\), part b, is \(189\), part c's difference is unclear, and part d's rate for the final term is \(123\).

A term in a numerical series is what?

A term is the name given to each integer in a series. A series has a place for each phrase. Think about the order, for instance Each number in the series is referred to as a word.

Term & nth term are defined.

The nth term formula, where stood for the term number, can be used to locate any term in a series. Formulas: An arithmetic sequence's nth term is represented by the formula: a n = a + n - 1 d, where is the first word and is a clear differentiation.

(a) To find the rate for the next term in the sequence \(2, 5, 14, 41, 122\)

\(122 + 3(81) = 365\)

The next term in the sequence is \(365\).

(b) To find the rate for the next term in the sequence \(1, 5, 13, 29, 61\)

\(61 + 4(32) = 189\)

So the next term in the sequence is \(189\).

(c) To find the rate for the next term in the sequence \(1, 212, 34, 78, 166\)  the differences between consecutive terms are not following a clear pattern. Therefore, we cannot determine the rate for the next term with the information given.

(d) To find the rate for the next term in the sequence\(6, 9, 15, 27, 51\)

\(51 + 3(24) = 123\)

So the next term in the sequence is \(123\).

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heeeeeeeeeeeelppppppppppp

heeeeeeeeeeeelppppppppppp

Answers

Answer:

14 %

Step-by-step explanation:

rate of commission

\(=\frac{378}{2700} \times100\\=14 ~\%\)

Can someone please help me with B it’s a 1 Mark question!!!!!!!!!!!HELP

Can someone please help me with B its a 1 Mark question!!!!!!!!!!!HELP

Answers

Answer:

137°

Step-by-step explanation:

Basically, its the reverse of question 1.

With angle x, you can find out that the opposite angle is 360 - 106 = 254°

the angle is twice the size of angle y as said in the corcle theorems.

254 divided by 2 = 137°

(please correct me if im wrong, i feel like im missing something)

Yeah that one is right

A professor wants to compare the variances of scores between two sections of c esses The students in each section took the same test The random samples 16, respectively. which of the following is a 99% confidence interval for the ratio ofthe population variances? eld sample variances of 20315 end -474 42 for samples of n1-13 and n2- a. [01540, 27809] b. [01386, 30895] c. [0.0907, 1.8198]
d. [01008, 20217]

Answers

Using f -statistic value relationship with population variation , the ratio of population variance lie in interval [0.1008,2.021].

0.1008 <σ₁²/σ₂²< 2.021

So, the correct option is option( d).

A professor wants to compare the variances of scores between two sections of classess.

we have

sample size for first class score (n₁) = 13

sample size for second class score (n₂) = 16

confidence interval is 99%

sample variance of first sample (s₁²) = 203.25

sample variance of second sample (s₂²)= 474.42

Using the relationship

( s₁² /s₂² )/F₁₋ₐ/₂ < σ₁²/σ₂²< ( s₁²/s₂²)/Fₐ/₂

a = 0.005

F at (1- a/2) or F₀.₉₉₅, ₁₃,₁₆= 4.249

F at a/2 or F₀.₀₀₅,₁₃, ₁₆ = 0.2118

plugging all known values in above formula

=> ( 203.25/474.42)/4.249<σ₁²/σ₂²< (203.25/474.42)/0.2118

=> 0.1008 <σ₁²/σ₂²< 2.021

=> σ₁²/σ₂² ∈[0.1008,2.021]

Hence, the ratio of population variance lies between interval [0.1008,2.021].

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A company makes a bracelet that is designed to repel mosquitos so people don't have to wear bug spray. Researchers at the company are designing an experiment where volunteers will be assigned either the bracelet or bug spray to use at their homes. The researchers want to use a randomized block design. How should the researchers form the block? (Choose one and explain why, please also explain why other methods wouldn't work).

a. Both the volunteers and researchers should be kept blind as to which block the volunteers are in.

b. Each block should consist of volunteers who live in similar environments when it comes to mosquitos.

c. Each block should consist of volunteers who live in different environments when it comes to mosquitos.

d. Each volunteer should be randomly assigned to a block.

e. Volunteers in one block should use the bracelet, while volunteers in the other block should use bug spray.

Answers

The correct answer is b. Each block should consist of volunteers who live in similar environments when it comes to mosquitoes.

Explanation:

In a randomized block design, blocks are formed to control for potential confounding factors or sources of variation that may affect the outcome of the experiment. By forming blocks based on similar environments when it comes to mosquitoes, the researchers ensure that any differences in the effectiveness of the bracelet and bug spray are not solely due to variations in mosquito exposure.

If the researchers were to choose option a (both the volunteers and researchers should be kept blind as to which block the volunteers are in), it would be related to blinding the participants and researchers to the treatment assignment, not forming blocks. This method does not address the need for controlling potential confounding factors.

Option c (each block should consist of volunteers who live in different environments when it comes to mosquitoes) would not be suitable because it would introduce additional variability and make it difficult to compare the effectiveness of the bracelet and bug spray.

Option d (each volunteer should be randomly assigned to a block) is not recommended in this case because it does not take into account potential confounding factors related to mosquito exposure.

Option e (volunteers in one block should use the bracelet, while volunteers in the other block should use bug spray) does not control for potential confounding factors, as individuals in different blocks may have different levels of mosquito exposure.

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what is the expression in factored form 4x^2+11x+6

Answers

Answer:

4x² + 11x + 6 = (x + 2)(4x + 3)

Chad is entering a rocket competition. He needs to program his rocket so that when it is launched from the ground, it lands 20 feet away. In order to qualify, it must be 100 feet off the ground at its highest point. What equation should he program into his rocket launcher to win? Let x represent the distance from the launch pad in feet and y represent the height of the rocket in feet. Draw a sketch of the rocket’s path.

Answers

The equation Chad should program is \(y = -0.04x^2 + 20x.\)

What equation should Chad program into his rocket launcher?

The equation that Chad should program into his rocket launcher to win is:

\(y = -0.04x^2 + 8x\)

This is a quadratic equation in standard form, where the coefficient of x^2 is negative, indicating that the path of the rocket is a downward facing parabola. The coefficient of x^2 is -0.04, which means that the parabola is relatively flat, ensuring that the rocket will travel a horizontal distance of 20 feet when it reaches a height of 100 feet.

To sketch the rocket’s path, we can plot points on the graph of the equation. For example, when x = 0, y = 0, so the rocket starts at the origin. When x = 50, y = 200, so the rocket reaches its maximum height at x = 50 and y = 100. When x = 100, y = 0, so the rocket lands 20 feet away from the launch pad at ground level. We can connect these points to sketch the path of the rocket.

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sikhism, a religion founded in the 15th century in india, is going through turmoil due to a rapid decline in the number of sikh youths who wear turbans. the tedious task of combing and tying up long hair and a desire to assimilate has led to approximately 25% of sikh youths giving up the turban. a. what is the probability that exactly two in a random sample of five sikh youths wear a turban? (do not round intermediate calculations. round your final answer to 4 decimal places.) b. what is the probability that two or more in a random sample of five sikh youths wear a turban? (do not round intermediate calculations. round your final answer to 4 decimal places.) c. what is the probability that more than the expected number of sikh youths wear a turban in a random sample of five sikh youths? (do not round intermediate calculations. round your final answer to 4 decimal places.) d. what is the probability that more than the expected number of sikh youths wear a turban in a random sample of 10 sikh youths? (do not round intermediate calculations. round your final answer to 4 decimal places.)

Answers

The probability that more than the expected number of Sikh youths wear a turban in a random sample of five is 0.3671 (rounded to 4 decimal places).

a. Using the binomial distribution formula, we can determine the likelihood that two out of a random sample of five Sikh teenagers are turban-wearing:

\(P(X = 2) = (5 pick 2) (5 choose 2) * (0.75)^3 * (0.25)^2\)

"X" indicates the proportion of Sikh adolescents who wear turbans, "5 choose 2" indicates the number of possible methods to select 2 Sikhs from a group of 5, and "0.75" and "0.25" indicate the likelihoods that a Sikh youngster will not be wearing a turban and will be wearing one, respectively.

This expression can be made simpler by using a calculator to become:

P(X = 2) = 10 * 0.421875 * 0.0625 = 0.2659

Hence, 0.2659 percent chance exists that two out of every five Sikh youngsters in a random sample will be turban-wearing (rounded to 4 decimal places).

Using the complement rule, we can determine the likelihood that two or more of a random sample of five Sikh teenagers are wearing turbans:

P(X >= 2) = 1 - P(X 2)

where X is the proportion of young Sikhs who are turban-wearing.

P(X 2) is the likelihood that fewer than 2 of five Sikh teenagers chosen at random will be turban-wearing.

This can be calculated as:

P(X 2) equals P(X = 0) plus P(X = 1).

P(X = 0) = (5 select 0) * (0.75) * (5 select 0) * (0.25) * 0 = 0.2373

P(X = 1) = (5 select 1) * (0.75) * (4 select 1) * (0.25) * 1 = 0.3956

P(X 2) = 0.2373 + 0.3956 = 0.6329 as a result.

We can then compute P(X >= 2) = 1 - 0.6329 = 0.3671 using the complement rule.

Consequently, there is a 0.3671 percent chance that two or more of five Sikh teenagers chosen at random will be turban-wearing (rounded to 4 decimal places).

c. The following formula can be used to determine how many Sikh teenagers in a random sample of five are likely to wear a turban:

E(X) = n * p = 5 * 0.25 = 1.25

Using the cumulative binomial distribution function, we can determine the likelihood that more Sikh teenagers than predicted in a random sample of five wear turbans:

P(X > 1) = 1 - P(X <= 1)

P(X = 1) equals P(X = 0) plus P(X = 1).

P(X = 0) = (5 select 0) * (0.75) * (5 select 0) * (0.25) * 0 = 0.2373

P(X = 1) = (5 select 1) * (0.75) * (4 select 1) * (0.25) * 1 = 0.3956

Therefore,

P(X <= 1) = 0.2373 + 0.3956 = 0.6329

The complement rule can then be used to determine:

P(X > 1)

P(X > 1) = 1 - 0.6329 = 0.3671

Hence, in a random sample of five Sikh adolescents, the likelihood that there are more turban-wearing Sikh youths than expected is 0.3671. (rounded to 4 decimal places).

d. To determine the likelihood that more than predicted will occur.

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PLEASE HELP:










Write an ordered-pair rule for the translation in the sequence that maps ∆EFG to ∆E'F'G'. Answer: (x, y) 
Translation rule: (x, y)  (x___,y____)
Fill the blanks.

PLEASE HELP:Write an ordered-pair rule for the translation in the sequence that maps EFG to E'F'G'. Answer:

Answers

Answer:

(x, y ) → (x + 4, y - 5 )

Step-by-step explanation:

Consider the coordinates of F and F'

F (1, 4 ) and F' (5, - 1 )

1 → 5 in the x- direction is + 4

4 → - 1 in the y- direction is - 5

Translation rule is (x, y ) → (x + 4, y - 5 )

You need 3 sticks of butter for every 24cookies you bake.
Complete the table using equivalent ratios.
Sticks of butter Number of cookies
3 24
?
16 ?
5 ?

Answers

The table formed using equivalent ratios.

16 : 128

5 : 40.

Explain the term equivalent ratios?When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, 1:2 and 2:4 have the same ratio.

3 sticks of butter -----> 24 cookies.

Let the number of cookies made for other stick of butter be 'y'.

Then, number cookies for the 16  sticks of butter

3/24 = 16/ y

y = 16*24 / 3

y = 128 cookies.

Again, number cookies for the 5 sticks of butter

3/24 = 5/ y

y = 5*24 / 3

y = 40 cookies.

Thus, number of cookies made by 5 sticks of buter are 40.

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In circle P with the measure of arc NQ=132°, find m NPQ.

Q

N

Answer:

m_NPQ =

Submit Answer

Answers

The measure of the missing part of the angle given above would be = 228°

What is the angle at a point?

The measure of the angle at a point which is represented in the picture attached above as point P = 360°

The given angle = 132°

The measure of the missing angle would be = 360-132 = 228°

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In circle P with the measure of arc NQ=132, find m NPQ. QNAnswer:m_NPQ =Submit Answer

Se desea sujetar un poste de 20 metros de altura con un cable que parte de la parte superior del mismo hasta el suelo de modo que forme un ángulo de 30 metros.¿Cual es la longitud del cable?

Answers

Answer:

la longitud del poste es ... creo que 60? No soy bueno con los medidores, pero espero que esto ayude.

What is the measure of

What is the measure of

Answers

90 degrees to the left

Liam had $250.Then,he and his classmates bought a present for their teacher ,evenly splitting the $p cost among the 24 of them . How much money does Liam have left
Write answer as an expression

Answers

The expression that shows the money that Liam has left is 250 - p/24.

What is an expression?

An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Amount with Liam = $250

Cost of gift bought = p

Number of friends = 24

The money that he has left will be:

= Initial amount - Amount paid for gift

= 250 - (p/24)

This illustrates the expression.

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Jocelyn and Lorlesha are comparing the size of their villages in the Clash of Clans app. The area of Jocelyn’s village is represented by the polynomial, 2w^2 + 10w + 12. The area of Lorlesha’s village is represented by the polynomial, 3w^2 + 4w -5, where w represents the width, in meters of their Town Hall.

Answers

Jocelyn's village additional area is (-w² + 6w + 17) m². The combined total area of both is (5w² + 14w + 7) m².

What is an equation?

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Let w represent he width of the town hall.

Area of Jocelyn's village = 2w² + 10w + 12

Area of Lorlesha's village = 3w² + 4w - 5

The difference in their area = (2w² + 10w + 12) - (3w² + 4w - 5) = -w² + 6w + 17

The sum of their area = (2w² + 10w + 12) + (3w² + 4w - 5) = 5w² + 14w + 7

Jocelyn's village additional area is (-w² + 6w + 17) m². The combined total area of both is (5w² + 14w + 7) m².

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I x2 − 1 a factor of P(x) = 2x4 7? If it i, write P(x) a a product of two factor

Answers

x² − 1 is not a factor of P(x) = 2x⁴ + 7.

Factor Theorem:

The point of the factor theorem is the inverse of the remainder theorem. If we divide a polynomial by x = a globally and the remainder is zero, then not only is x = a a root of the polynomial (courtesy of the Remainder Theorem), but x − a is also a factor of the polynomial (Factor Theorem courtesy of ).

According to the factor theorem, (y – a) can be considered as a factor of a polynomial g(y) of degree n ≥ 1 if and only if g(a) = 0. where a is any real number. The factor set formula is g(y) = (y – a) q(y). It is important to note that all of the following apply to any polynomial g(y).

(y - a) are the factors of g(y).g(a) = 0.Dividing g(y) by (y – a) gives zero remainder.The solution of g(y) = 0 is a and the zero of the function g(y) is a.

According to the Question:

P(x) = 2x⁴+ 7 > 0 for any real x, so it has not real zeros. Because P(x) has not factor x² - 1 = (x + 1)(x -1) what has real zeros 1 and - 1.

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Which of the following is done last in the order of operations? a. Summation b. Addition c. Multiplication d. Squaring

Answers

Answer:

Addition

Step-by-step explanation:

Remember PEMDAS:

P - anything inside a Parenthesis

E - anything that has an Exponent (Squaring)

M - Multiplication

D - Division

A - Addition

S - Subtraction

PEMDAS is the order of operations.

Based on your choices, I would go with Addition. Addition and Summation sound like the same thing however, so I would double check with your teacher.

Assume that a sample is used to estimate a population proportion p. Find the margin of error M. E. That corresponds to a sample of size 279 with 24% successes at a confidence level of 99%

Answers

the margin of error M. E. That corresponds to a sample of size 279 with 24% successes at a confidence level of 99% is approximately 0.0608, or 6.08%

To find the margin of error (M.E.) for a sample proportion, we can use the following formula:

M.E. = z × √(p × (1-p))/n

where:

z is the z-score corresponding to the desired confidence level

p is the sample proportion

n is the sample size

In this case, we are given:

n = 279 (sample size)

p = 0.24 (sample proportion)

Confidence level = 99%

To find the z-score for a 99% confidence level, we can use a standard normal distribution table or calculator. The z-score for a 99% confidence level is approximately 2.576.

Substituting these values into the formula, we get:

M.E. = 2.576 × √(0.24 × (1-0.24))/279

M.E. ≈ 0.0608

Therefore, the margin of error is approximately 0.0608, or 6.08%. This means that we can be 99% confident that the true population proportion is within 6.08% of the sample proportion (i.e., between 0.24 - 0.0608 = 0.1792 and 0.24 + 0.0608 = 0.3008).

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14 ➗ 374
Please help me I need this I’m dumb

Answers

Answer:

The answer is 0.037433155

Step-by-step explanation:

About what percentage of the area under the normal dis-
tribution curve falls within 1 standard deviation above
and below the mean? 2 standard deviations? 3 standard
deviations?

Answers

Answer :

hope this help !

Step-by-step explanation:

Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

Jordana drew the function below. Which statement correctly explains whether or not her function is linear?

On a coordinate plane, a parabola opens up.

A. It is linear because it has a constant rate of change.
B. It is linear because it does not have a constant rate of change.
C. It is not linear because it has a constant rate of change.
D. It is not linear because it does not have a constant rate of change.

Answers

D.it is not linear because it does not have a constant rate of change

Answer:

d

Step-by-step explanation:

i took the test

State and show what additional information is required in order to know that the triangles are
congruent for the given reason.
SAS

State and show what additional information is required in order to know that the triangles arecongruent

Answers

Answer:

Step-by-step explanation:

We already know that both triangles have a congruent side length.

We also know angle KVM or UVW are the same

We only have to know if VM and WV are the same.

This way, each triangle will have two congruent side lengths and a angle. The third side will therefore be the same.

By the same logic, if we know that KM and UW are the same, the two triangles are also congruent.

To determine if two triangles are congruent using the SAS (Side-Angle-Side) criterion, we need additional information about the length of one side, the measure of one angle, and the length of another side in both triangles.

This information is crucial in order to establish the congruence between the triangles. For example, let's consider two triangles, triangle ABC and triangle DEF. To prove that these triangles are congruent using the SAS criterion, we need to know: 1. The length of side AB in triangle ABC and the length of side DE in triangle DEF. 2. The measure of angle A in triangle ABC and the measure of angle D in triangle DEF. 3. The length of side BC in triangle ABC and the length of side EF in triangle DEF. By knowing these measurements, we can compare the corresponding sides and angles of the two triangles. If the lengths of the corresponding sides are equal and the measures of the corresponding angles are equal, then we can conclude that the two triangles are congruent by the SAS criterion.

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