Someone please complete. will mark brainliest. 30 points given!!

Someone Please Complete. Will Mark Brainliest. 30 Points Given!!

Answers

Answer 1

The answer to all the subparts of the congruency of triangles is shown:

ΔABC and ΔPQR are congruent - SSS congruence.ΔGHJ and ΔUVW are congruent - SSS congruence.ΔGHJ and ΔPQR are not congruent.ΔPQR and ΔUVW are not congruent.

What is the Congruence of a triangle?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.

In ΔABC and ΔPQR  

AB = PQAC = PRBC = QR

Thus from SSS congruence, we get ΔABC ≅ ΔPQR  

In ΔGHJ and ΔUVW

GH = UVJH = WVJG = UW

Thus from SSS congruence, we get ΔGHJ ≅ ΔUVW

However, ΔGHJ and ΔPQR are not congruent because there are no two sides that are equal.

Also, ΔPQR and ΔUVW are not congruent because of the same reason mentioned above.

Therefore, the answer to all the subparts of the congruency of triangles is shown:

ΔABC and ΔPQR are congruent - SSS congruence.ΔGHJ and ΔUVW are congruent - SSS congruence.ΔGHJ and ΔPQR are not congruent.ΔPQR and ΔUVW are not congruent.

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Related Questions

is line k parallel to line /?
O a
Ob
122⁰
Yes
No
&
l

Answers

Answer:

Yes

Step-by-step explanation:

Parallel lines are 2 lines that go in the same direction that will never touch each other.

Hope that helps

Complete the table and graph the solutions of the equation y =-3x + 3. X -1 0 1 2 у co -7 -6 -5 -4 -3 -2 -1. 0 2 3

Answers

1) Since the equation is y= -3x+3, let's fill in that table by plugging into them the given values for x

x | y= -3x +3 | y

-1 | y=-3(-1)+3 | 6

0 | | 3

1 | | 0

2| | -3

2) Let's plot that equation for points (-1,6) (0,3), (1,0) and (2,-3)

what is the radius of the circle?​

Answers

Answer:

The radius is from the middle to the edge, in this case it looks the radius is 4

Look at the steps and find the pattern.step 1step 2step 3How many dots are in the 4th step?dotsSubmit

Answers

40

Explanation

Step 1

a)initially we have 8 dots

after that

in step 2, we have a new row and , now there are 8 dots per row, so

[tex]\begin{gathered} \text{new row} \\ and\text{ number of dots= previous +1} \end{gathered}[/tex]

in step 3, we should have

[tex]\begin{gathered} new\text{ row, it means now, there are 3 rows} \\ \end{gathered}[/tex]

and

[tex]\begin{gathered} and\text{ number of circles = previous +1} \\ \text{ number of circles =}8+1=9 \\ \text{ number of circles =}9 \end{gathered}[/tex]

as we can see, the rule works

Step 2

now, to find the patter in step 4, just apply

[tex]a\text{ new rounds, now, there are 4 row}[/tex]

and

[tex]\begin{gathered} and\text{ number of dots = previous +1} \\ \text{ number of dots = 9}+1=10 \\ \text{ number of dots=}10 \end{gathered}[/tex]

finally, to know the number of dots

Multiply the number of row, by the number of dots per row, so

[tex]\begin{gathered} \text{Number of dots=4}\cdot10 \\ \text{Number of dots=}40 \end{gathered}[/tex]

therefore, the answer is 40

I hope this helps you

3 math questions multiple choice

Answers

1) the equation is:

[tex]2y+x=4[/tex]

So we can rewrite the equation as a slope intercept so:

[tex]\begin{gathered} 2y=-x+4 \\ y=-\frac{1}{2}x+2 \end{gathered}[/tex]

So the slope is -1/2

2) the equation is:

[tex]3x-2y=5[/tex]

Now we evaluete the coordinates to see which one is not on the line so for (1,-1)

[tex]\begin{gathered} 3(1)-2(-1)=5 \\ 3+2=5 \\ 5=5 \end{gathered}[/tex]

So is on the line

for (-1,-4)

[tex]\begin{gathered} 3(-1)-2(-4)=5 \\ -3+8=5 \\ 5=5 \end{gathered}[/tex]

So it is on the line

for (3,2)

[tex]\begin{gathered} 3(3)-2(2)=5 \\ 9-4=5 \\ 5=5 \end{gathered}[/tex]

So it is on the line

Finally for (1,2)

[tex]\begin{gathered} 3(1)-2(2)=5 \\ 3-4=5 \\ -1\ne5 \end{gathered}[/tex]

So (1,2) is not on the line

3) if the slope is -2 and goes to the point (3,-1) we can use the equation of a line to find the intercept so:

[tex]\begin{gathered} y=-2x+b \\ -1=-2(3)+b \\ -1=-6+b \\ -1+6=b \\ 5=b \end{gathered}[/tex]

So the intercept is 5 so the equation is:

[tex]y=-2x+5[/tex]

In a class of 28 students, 6 are female and 7 have an A in the class. There are 17 students who are male and do not have an A in the class. What is the probability that a student is a male given that they have an A?

Answers

Step-by-step explanation:

a probability is always

desired cases / totally possible cases

28 students in total.

6 are female.

so, we have 28-6 = 22 male students.

7 of the 28 students have an A.

17 male students do not have an A.

that means 22-17 = 5 male students have an A.

and that means 7-5 = 2 of the female students have an A.

"given that they have an A".

that reduces our totally possible cases to 7.

the probability that an A-student is male is therefore

5/7 = 0.714285714...

and FYI

the probability that an A student is female is

2/7 = 0.285714286...

The probability that a student is male given that they have an A is approximately 0.538.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We can use Bayes' theorem.

P(male | A) = P(A | male) x P(male) / P(A)

We are given:

P(A | male) = 7/17

(7 students are male and have an A, out of 17 male students)

P(male) = 17/28

(17 students are male, out of 28 total students)

P(A) = (6+7) / 28

(13 students have an A, out of 28 total students)

Plugging in these values.

P(male | A) = (7/17) x (17/28) / (13/28) = 0.538

Therefore,

The probability that a student is male given that they have an A is approximately 0.538.

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The mass of the Rock of Gibraltar is 1.78-102 kilograms. The mass of the Antarctic iceberg is 4.55-103 kilograms. Approximately how many more kilograms is the mass of the Antarctic iceberg than the mass of
the Rock of Gibraltar? Show your work and write your answer in scientific notation (10 points)

Answers

4.372 × [tex]10^{13}[/tex] more kilograms the mass of the Antarctic iceberg than the mass of the Rock of Gibraltar.

Mass of the Antarctic iceberg = 4.55 × [tex]10^{13}[/tex]  

Mass of the rock of Gibraltar  = 1.78 × [tex]10^{12}[/tex]  

Excessive mass of Antarctic Icebergs than the rock of Gibraltar,

4.55 × [tex]10^{13}[/tex]  - 1.78 × [tex]10^{12}[/tex]  

Subtract easily both should be in the same power of ten,

= 4.55 × [tex]10^{13}[/tex]  - 1.78 × [tex]10^{12}[/tex]  

= 43.72  × [tex]10^{12}[/tex]  

= 4.372 × [tex]10^{13}[/tex]

Scientific notation is used to express quantities that are either too large or too little to be represented by decimals. Scientific format, standard index format, and standard format are other terms for the same thing.

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Roy ate 2/3 of his personal pizza Roxy ate 3/5 of hers robbi ate 0.45 of hers and Russ ate 9/12 of his who ate the most of his or her pizza?

Answers

We will see that the largest number is 9/12, and Russ ate 9/12 of his pizza, so he is the one that ate most of his pizza.

Who ate the most of his/her pizza?

Here we know that:

Roy ate 2/3 of his pizza.Roxy ate 3/5 of her pizza.Robby ate 0.45 of his pizza.Russ ate 9/12 of her pizza.

So we just need to see which of the given numbers is the largest one.

We can rewrite the fractions as:

2/3 = 0.66

3/5 = 0.6

9/12 = 3/4 = 0.75

The largest number is 0.75, in this way we conclude that Russ is the one that ate more pizza.

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-2.3x - 4.2x = -66.3
Solve the equation for x

Answers

x=10.2

Combine -2.3x and -4.2x since they are like terms, which equals -6.5x. Then you need to divide -66.3 by -6.5, and when you do so, you get your answer, 10.2 as x.

Answer

x=10.

Step-by-step explanation:

-2.3x-4.2x=-66.3

-2.3+-4.2=-6.5x

-6.5x÷-6.5

-66.3÷-6.5

x=10.


The average flight time for the pilots is found to be 8.12 hours. The
standard deviation reported by the FAA is 0.72 hours, and there
were 81 pilots in the sample. What is the t-statistic for this
hypothesis test? Report to two decimal points

(Flights generally limit pilots to 8 hours of flight time during a 24-hour period)

Answers

The test statistic for this hypothesis test is; t = 1.5

What is the Test Statistic?

The formula for test statistic is;

t = (x' - μ)/(σ/√n)

where;

x' is sample mean

μ is population mean

σ is standard deviation

n is sample size

We are given;

Sample mean; x' = 8.12 hours

Population mean; μ = 8 hours

Standard deviation; σ = 0.72 hours

sample size ; n = 81 pilots

Thus;

t = (8.12 - 8)/(0.72/√81)

t = 0.12/0.08

t = 1.5

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For the bake sale, Lee baked 141 cookies. Esther baked 51 more cookies than Lee. How many cookies did Lee and Esther bake in all?

Answers

Answer: 333 Cookies

Step-by-step explanation:
Let E = Cookies by Esther
Let L = Cookies by Lee
The equation for amount of cookies: E+L

L=141
E=L+51
Substitute L
E=141+51=192
E+L=141+192=333

Answer:

[tex]10 \div x - 10 \div (x - 1) = 30[/tex]

if f(x)=2x^2+3x Find f(−5) step by step plese

Answers

The value of x for quadratic equation f(x) = 2x² + 3x when f(-5) is 35.

Given, f(x) = 2x² + 3x

To find: f(-5)

For the quadratic equation f(x) = 2x² + 3x substitute the value -5 in place of x as the f(-5) has been mentioned in the question.

So,

f(-5) = 2(-5)² + 3(-5)

A Square of -5 is 25 and 3 multiplied by -5 is 15,

f(-5) = 2(25) + (-15)

Multiple of 25 and 2 is 50 subtracted by 15,

f(-5) = 50 - 15

At last, subtract 50 by 15,

f(-5) = 35

∴ For equation f(x) = 2x² + 3x when f(-5), the value of x = 35.

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6. Critical Thinking
Suppose point P divides the directed line segment XY so that the ratio of XP to PY is 3 to 5. Describe the
point that divides directed line segment YX so that the ratio of YP to PX is 5 to 3.

Answers

Using proportions, the coordinates of the point that divides directed line segment YX so that the ratio of YP to PX is 5 to 3 are given by:

[tex](x,y) = \left(\frac{3}{8}(x_y - x_x) + x_x, \frac{3}{8}(y_y - y_x) + y_x\right)[/tex]

What is a proportion?

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations such as multiplication or division from the given ratios.

Division of line segments is one application of proportions. The entire length of the line segment with endpoints XY is given by:

Y - X.

Now we have point P, dividing the line segment YX so that the ratio of YP to PX is 5 to 3, meaning that XP is 3/8 of XY, that is:

[tex]P - X = \frac{3}{8}(y - x)[/tex]

Then the x-coordinate of P is found as follows:

[tex]x - x_x = \frac{3}{8}(x_y - x_x)[/tex]

[tex]x = \frac{3}{8}(x_y - x_x) + x_x[/tex]

The y-coordinate is found applying the same rule with the y-coordinates of points X and Y, as follows:

[tex]y - y_x = \frac{3}{8}(y_y - y_x)[/tex]

[tex]y = \frac{3}{8}(y_y - y_x) + y_x[/tex]

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PLEASE HELP ASAP!!!!!!!!!!!!!!!
The table describes the quadratic function h(x).
x h(x)
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22

What is the equation of h(x) in vertex form?
h(x) = (x + 2)2 − 3
h(x) = (x + 1)2 − 2
h(x) = (x − 1)2 + 2
h(x) = (x − 2)2 + 3

Answers

The quadratic function of h (x) in vertex form will be;

⇒ h(x) = (x + 2)² − 3

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The values of x and h (x) for the quadratic function is given as;

x = -3, -2, -1, 0, 1, 2, 3,

h (x) = -2, -3, -2, 1, 6, 13, 22

Now,

Let the quadratic function is,

h (x) = ax² + bx + c

Substitute x = -3 and h (x) = -2 in above quadratic function we get;

h (x) = ax² + bx + c

- 2 = a × (-3)² + b × -3 + c

- 2 = 9a - 3b + c

And, Substitute x = -2 and h (x) = -3 in above quadratic function we get;

h (x) = ax² + bx + c

- 3 = a × (-2)² + b × -2 + c

- 3 = 4a - 2b + c

And, Substitute x = -1 and h (x) = -2 in above quadratic function we get;

h (x) = ax² + bx + c

- 2 = a × (-1)² + b × -1 + c

- 2 = a - b + c

After solving we get;

a = 1 , b = 4 and c = 1

Substitute all the values in above quadratic equation, we get;

h (x) = ax² + bx + c

h (x) = 1 × x² + 4x + 1

h (x) = x² + 4x + 1

h (x) = x² + 4x + 4 - 4 + 1

h (x) = (x + 2)² - 3

Thus, The quadratic function of h (x) in vertex form will be;

⇒ h(x) = (x + 2)² − 3

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A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is $13, and tickets cost $39 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.

Answers

Using inequality, we can conclude that maximum of 14 people can visit the amusement park.

What is inequality?A relation that compares two numbers or other mathematical expressions inequitably is known as an inequality in mathematics. On the number line, size comparisons between two numbers are typically made. Inequalities are relationships between two expressions that aren't equal to one another. The symbols, >, <, ≤, ≥ and ≠ are used to denote inequalities and mean "7 is greater than" (or "is less than 7," when read left to right).

So, (p) a maximum number of people who can visit the park:

They can only spend a total of $325 on parking and admission.Parking costs $13 and tickets are $39 per person, tax included.

Now, calculate as follows:

13+ $39p ≤ $325$39p ≤ $325 - $13p ≤ 14

Therefore, using inequality, we can conclude that maximum of 14 people can visit the amusement park.

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Solve: 5k = 100k =

A. 20
B. 10
C. 500
D. 50

Answers

The answer is A. k = 20

Answer:

A,) 20

Step-by-step explanation:

First, I am assuming that the problem is 5k = 100, not "5k = 100k =" as it was written.

We need to end up with "k equals some number."  This is called solving for k.  In order to do this we need to have k by itself.  We look at the problem and ask, "what is preventing k from being by itself?"  In this case k has a "times 5" with it.  How can we get rid of that?  Well we can do the opposite of "times 5,"  and that is to divide the left side by 5.  That leaves k by itself which is exactly what we need.  But if do something to one side of an equation, we need to do it to the other side for the equation to still be true.  So in this case we also have to divide the right side by 5 also, which gives us 20 on the right side.  So in our original problem:

5k = 100

Divide both sides by 5 and we have the answer:

k = 20

grace and jack are playing a game with a gigantic bucket of markers. jack took a random sample of markers from the bucket and counted 121212 yellow markers, 373737 blue markers, and 111 red marker. use the observed frequencies to create a probability model for the color of the next randomly selected marker from the gigantic bucket of markers. input your answers as fractions or as decimals rounded to the nearest hundredth.

Answers

If grace and jack are playing a game with a gigantic bucket of markers. The probability are  yellow 0.24,  blue 0.74,  red 0.02.

Probability

Given data:

Yellow markers = 12

Blue markers =37

Red marker =1

Total number of markers = 12 + 37 + 1

Total number of markers = 50

Probability of an event occuring= Favorable number of outcomes / Total number of outcomes

Probability of getting an yellow marker = 12/50

Probability of getting an yellow marker = 0.24

Probability of getting an blue marker = 37/50

Probability of getting an blue marker = 0.74

Probability of getting an red marker = 1/50

Probability of getting an red marker = 0.02

Probability model

Type of maker  Frequency Probability

Yellow                     12             0.24

Blue                         37              0.74

Red                           1              0.02

Therefore the probability are  0.24, 0.74, 0.02.

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a triangle base is 6 inches long and it’s height is 5 inches. what the area of the triangle?

Answers

Answer:

Answer:The area of the triangle is 60 in.

explanation:

Because we have 6inches in the weigth and 5inches in the height .

A=1/2bhA=1/2x 5 x 6A=30A=1/2 ÷30A=60in

Graph the image of the figure using the transformation given.

Answers

A graph of the image of triangle V'W'X' after a rotation of 90° counterclockwise about the origin is: graph A.

What is a rotation?

A rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

In Geometry, rotating a point 90° about the origin in a counterclockwise (anticlockwise) would produce a point that has the coordinates (-y, x).

Note: Each interval on this graph represents 1 unit.

By applying a rotation of 90° counterclockwise to triangle VWX, the coordinates of the vertices of the image triangle V'W'X' include the following:

(x, y)                    →            (-y, x)

Point V = (-2, -4)   →     Point V' = (-(-4), -2) = (4, -2)

Point W = (-2, -2)   →    Point W' = (-(-2), -2) = (2, -2)

Point X = (-5, -4)   →  Point X' = (-(-4), -5) = (4, -5)

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Rewrite the power as a product of powers (2ax)^3

Answers

The power as a product of powers can be rewritten  (2ax)³ as  (2ax )(2ax)(2ax )

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

The product can be defined as the multiplication operation of two or more terms so that another term can be gotten the same as the one that is been given that we were asked to rewrite.

Power is defined as the degree that is been found on the terms, the degree that can be on the term is 3, then it can be expressed in three terms

Therefore, the given expression is (2ax)³ can be rewritten as;

(2ax)³ =  (2ax )(2ax)(2ax )

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PLS HELPPPP
Is this right????

Answers

Answer:

yes that is the correct answers

in endurance horse racing, people over the age of 15 are called seniors and people 15 years or younger are called juniors. an endurance horse race consists of 30 seniors and 6 juniors. (give answer as a fraction or a decimal out to at least 4 places. if your answer is very small use scientific notation for example 3.3421e-6.)

Answers

a)P(all seniors) =(25C3)/(30C3) =0.5665

b)P(All Juniors)=(5C3)/(30C3) =0.0025

c)P(2 senior and 1 Junior) =(25C2)(5C1)/(30C3) =0.3695

d)P(1 senior and 2 Junior) =(25C1)(5C2)/(30C3) =0.0616

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How many minutes are in two fifths of a day?

Answers

Answer:576 minutes

Step-by-step explanation:

24h/5
4.8h x 60(minutes)
288min x 2
576 min

Please help me
Thank you ;)

Answers

Answer:

they're similar

Step-by-step explanation:

hello again ;)

The distance between Dallas and Austin on a map is about 9 centimeters. The map uses a scale in which 1 centimeter represents 20 miles. What is the actual distance between Dallas and Austin in miles

please help due in an hour and i cannot fail!!!

Answers

Answer:

180

Step-by-step explanation:

9x20

A soccer league is organizing teams. There are 60 boys to make up the boys' teams and 40 girls to make up the girls' teams. The teams should be the same size What is the largest number of people that can be on a team?The largest number of people that can be placed on a team is

Answers

There are 60 boys to make up the boys' teams and 40 girls to make up the girls' teams.

We are also told that the teams should be the same size.

This means that irrespective of the number of teams, each team should contain the same number of players.

Thus, the largest number of people that can be placed on a team is;

The highest common factor ;

The HCF is 10 x 2 = 20, therefore;

The largest number of people that can be placed on a team is 20.



PLS HELPPOO!!!!!!!!!

Answers

Answer:

AC=8

Step-by-step explanation:

2x=2(8)

2x=16

x=16÷2

x=8

Help pls thx

King David was born in 1015 BC and died in 970 BC. The Roman Emperor Augusta was born in 63 BC and died in 14 AD. Which of these two men lived longer?

Answers

Augusta lived longer.

1015-970=45 (king David)

63-14=49 (augusta)

The volume of a cone with height
h
and radius
r
can be found using the formula
V
=
1
3
π
r
2
h


Find the volume of a cone with radius 8 feet and height 7 feet.

Answers

The volume of the cone has a value of 410.67 cubic meters

How to determine the volume of the cone?

From the question. the height and the radius of the cone are given as

Height = 7 feet

Radius = 8 feet

The volume of the cone can be calculated using the following volume formula

Volume = 1/3πr^2h

Substitute the known values in the above equation

So, we have

Volume = 1/3 * 22/7 * 8 * 7^2

Evaluate the products

Volume = 410.67

Hence, the volume is 410.67 cubic meters

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Andrew writes the algebraic expression 2s+ 2.79 to represent the cost of his
lunch. He bought 2 sandwiches and a large drink. Identify any variables,
coefficients, and terms in the expression. Tell what each represents.

Answers

The sandwich's price is represented by the variable s , 2 is the coefficient of s and 2.97 represents both the cost of a big drink and a constant

What is  Algebraic Expression?

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. For instance, the algebraic formula 3x2 2xy + c

The cost of Andrew's lunch is written as the algebraic expression

2s + 2.79 as a given. He bought a huge drink and two sandwiches.

In the algebraic expression given;

2s + 2.79

Here, 2 stand in for the coefficients of s, which stands for the quantity of sandwiches he purchased.

The sandwich's price is represented by the variable s, which is a function of the coefficient.

And 2.97 represents both the cost of a big drink and a constant since no further letters have been added.

Hence, sandwich's price is represented by the variable s , 2 is the coefficient of s and 2.97 represents both the cost of a big drink and a constant

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The temperature inside my refrigerator is about 4 degrees C. If I place a balloon in my fridge that initially has a temperature of 22 degrees C and a volume of 0.5 L, what will be the volume of the balloon when it is fully cooled by my refrigerator? classical economists defended the economic concept of group of answer choices government intervention in the marketplace. prolonged recession and high rates of unemployment. market clearing. keynesian economists. Purple hibiscusChapter 7Describe the scene when Jaja and Kambili leaven for Nsukka. Mrs. Walter wanted to plant one daffodil for every 3 tulips in her garden. If she planted 20 daffodils, how many tulips did she plant? Write an equation that represents the line.Use exact numbers. What does the Government do with collected tax money ? (4 sentences) Describe Sumer religion !! Please!! If you were a peasant on a manor during the time of European feudalism, do you think you would be happy with your life? You can answer either, yes, I would be happy or no, I wouldnt be happy. In your response, make sure you include a brief description of what your life would be like and then explain why or why not you would be happy. Use specific terms from European feudalism auto pistons at wenming chung's plant in shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. from sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: What decision support strategy uses a technique based on identifing a similar problem with a known effective solution, and apply the approach to this problem?. 1 Which of the following best describes GbekliTepe?A an apartment houseB a government buildingC a place of worshipD a central market area an acorn is falling from 13 feet in the air if it descends 4.8 feet every second write and solve the equation to determine how long it will take for the acorn to be 1 foot above the ground help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee 2. What is Step 1 of the set design process? Describewhat it involves. In a single throw of a fair die, what is the probability that an odd number or a perfect square greater than one shows up? what are the answer to these questions 5. Which equation is solved for the height of the cone based on theinformation given below ? Based on the thermodynamic properties provided for water, determine the energy change when the temperature of 0.750 kg of water decreased from 123 C to 23.0 C. Write a program that asks the user to enter 2 words, then prints "Equal!" if the two words are the same (case-sensitive), "Different case" if the two words are the same (case-insensitive), Close enough if the two words are the same length and all but the last letter matches, and "Try again" otherwise. Ms. Yoto is putting together bags of fruit that contain 1 pear for every 2 apples. How many apples are there in a bag if there is a total of nine pieces of fruit (using algebraic formulas).