What is the length of the mid-segment of a trapezoid whose vertices are I(-3, -5), J(8, -5), K(3, -9), and L(-3, -9)?

Arthrogryposis, also called arthrogryposis multiplex congenita (AMC), is a term used to describe a variety of conditions involving multiple joint contractures (or stiffness).

Arthrogryposis is a general or descriptive term for the development of non progressive contractures affecting one or more areas of the body prior to birth (congenitally). A contracture is a condition in which the joint becomes permanently fixed in a bent (flexed) or straightened (extended) position, completely or partially restricting the movement of the affected joint. When congenital contractures occur only in one body area which means it is not referred to as arthrogryposis but rather as an isolated congenital contracture. The most common form of an isolated congenital contracture is clubfoot. When arthrogryposis affects two or more different areas in the  body, it may be referred to as arthrogryposis multiplex congenita (AMC).

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Answer: Look in the attachment:

Step-by-step explanation: If it was random sampling, it would all be done randomly, barley without doing anything, and NOT doing anything particular, the 4 that are circled (in the attachment) are the ones that I am talking about; they ARE NOT examples of random sampling. If you look at the attachment, you might understand a little more :P

The Question is based on concept of Simplification and answer to this question is -19√2

What is Simplification?

Simplification is the process of making a task, problem, or system easier to understand and manage. It involves breaking down a concept or problem into simpler parts in order to better understand the whole. Simplification can help streamline a process, making it more efficient and easier to complete. It can also help to make complex topics more accessible to a wider audience. Simplification can also be used to make a difficult problem more manageable, allowing for easier solutions.

Here we are given question 2√2 - 7√8 we can do some simplifications like:
but we know we can write √8 = 3√2
hence putting back in original eqn
2√2 - 7(3√2)
2√2 - 21√2
-19√2
Hence required answer is -19√2 by simplification

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Answer:

Step-by-step explanation:

false that is not at all true

Answer: 11 feet

Step-by-step explanation:

The equation for area of square is

area = s^2

So we just need to take the square root of 121, and we will get the answer is 11 ft!

Answer:

11 ft

Step-by-step explanation:

Since the area of the square is 121 (and squares have all four sides the same length), the sides must be 11 feet. Because

11 × 11 = 121

You could show work by using an equation.

Area = s^2

121 = s^2

Square root both sides.

sqrt121 = sqrt(s^2)

11 = s

The side length is 11 feet.

The volume of a cone is 125(pi) in3. The height is three time the length of the radius. The height of the cone = 3 × 125π = 375π inches

Given:

Volume of cone = 125π in3

Height = 3 times the radius

To find:

Height of the cone

Height of the cone = 3 × 125π = 375π inches

The given information is the volume of a cone, which is 125π in3, and the height of the cone which is 3 times the radius. To find the height of the cone, we need to multiply the volume by 3. Using the given information, we can calculate the height of the cone by multiplying 125π by 3, which gives us 375π inches as the height of the cone.

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The length of each wooden plank will be 30.48 cm

Here given,

The total length of the wooden plank is 121.92 centimeters.

Also given that ,

A carpenter cuts the plank into 4 equal parts

=> 121.92 / 4

=> 30.48

Therefore the length of each piece will be 30.48 cm

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Answer:

B. Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are pairs of angles on the outer side of the two parallel lines but on the opposite side of the transversal. They also have the same degree. So, the answer is B.

Answer:

9, 13

Step-by-step explanation:

√81 = √9 x 9 = 9

√169 = √13 x 13 = 13

The probability of a success gets closer to zero is 15.

What is behavior of the standard deviation ?

The average squared difference between data points and their mean value is called variance, and it is the variance's square root that is used to calculate standard deviation. The symbol for standard deviation can be seen below.

Both the standard deviation and the variance are indicators of dispersion, but the standard deviation is more explicitly the typical distance between a data point and the mean. The majority of the data will be within one standard deviation of the mean. While the variance is not measured in the same units as the actual data, the standard deviation is

If mean deviation is 12, what is its standard deviation?

Lets look the problem .

Given ,

Mean deviation (MD) =12

Here is the inequality to calculate the standard deviation.

6QD=5MD=4SD ,

Where ,QD stands for the Quartile deviation.

SD stands for the standard deviation.

So,

Standard deviation =(5/4)*MD

=(5/4)*12

=15

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In the given sample mean, there are total 5 elements present.

An average of a group of data is called a sample mean.

A data set's central tendency, standard deviation, and variance can all be determined using the sample mean.

A population average can be determined using the sample mean, among other things.

Both the sample mean and sample median are helpful statistics for outlining a data set's core tendency.

The sample mean uses all of the data values because it is the arithmetic average.

Extreme values have no impact on the sample median, which simply uses one or two middle values.

So, we have the sample mean:

0 | 3 | 25 | 100 | 5,000

Now, in the given sample mean we can count that the number of values or the elements is 5.

Therefore, in the given sample mean, there are total 5 elements present.

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Correct question:

How many elements are there in this object called a sample means small?

Sample mean:

0 | 3 | 25 | 100 | 5,000

The motion of the shape in each frame are:

Rigid transformation is a method in which the orientation, size or position of a given object is changed.

Rigid transformation implies either increasing, decreasing or changing the orientation of a given shape. Some types of rigid transformation are: reflection, rotation, translation, and dilation.

i. Reflection is a method in which a given object is flipped about a reference point or line.

ii. Rotation is the process in which a given object is turned about a certain angle in degrees.

iii. Translation involves moving a given object a definite units horizontally or vertically.

iv. Dilation is a process in which the dimensions of a given object is either increased or decreased as required.

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Answer: y=4x-5     y=4x

Step-by-step explanation:

first we find the slope by using

(y2-y1)/(x2-x1)

(-1-3)/(3-2)

-4/1

-4

so we know the slope is -4

y=4x+b

now we can use either point but ill use (2,3)

we substitute to find b

3=4(2)+b

3=8+b

-5=b

so now we know that the y intercept is -5

so put it together

y=4x-5

if it passes through the origin

it would have the y-intercept of 0

so that equation just be

y=4x

and it keeps the same slope

because they are parallel

hope this helped

The median of the probability density curve is (c) 14

From the question, we have the following parameters that can be used in our computation:

Initial position = 1/12

Suppose we have a set {x₁, ..., xₙ}

The median is the number at the middle.

The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.

In the given graph, we have

Constant density curve that goes from 8 to 20.

Because it is constant, the median will just be equal to the mean,

So, the median is the average between the two extreme values.

The average of two numbers a and b is calculated as

(a + b)/2

So we have

Median = (a + b)/2

Substitute the known values in the above equation, so, we have the following representation

Median = (20 + 8)/2

Evaluate

Median = 14

Hence, the median is 14

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Answer:

He has 171 colored pencils before drawing

53+118 = c

Step-by-step explanation:

To write the equation:

53+118 = c

171=c

Answer:

x = 53 + 118

Step-by-step explanation:

Now we have to,

→ find and write an equation.

Let's assume that,

→ Total pencils = x

Forming the equation,

→ x = Used pencils + Left pencils

Then the equation will be,

→ x = 53 + 118

→ [ x = 171 ]

Hence, total pencils are 171.

Answer:

It will take 4 Hours

Step-by-step explanation:

5 x 40 equals 200 (So 200 is the total distance needed to be made)

We can now divde the total distance by how fast the car is moving to get the time.

200 / 50 = 4

So the answer is 4 hours

Answer:

x< 5

Step-by-step explanation:

See the graph below

Answer:  C. 15 ≤ 2x + 9 ≤ 19

Step-by-step explanation:

We know that her goal is to knit at least 12 scarves and, at the most, 19 scarves

So it has to be bigger or equal to 15 and smaller or equal to 19, so it can't be A or D.

We also know that she has already knitted 9, so our equation has to have a +9

So the answer is C. 15 ≤ 2x + 9 ≤ 19

AU is 20 degrees and ∠QPA is 35 degrees and ∠ARU is 40 degrees are the unknown measures.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

In the given triangle A is the incenter for triangle PQR.

By observing figure, AR is angle bisector of angle URK.

So,   ∠ARU = ∠ARK = 40 degree

Since, incenter point is equidistant from the sides of a triangle.

AT = AU = AK = 20

Since, PA is angle bisector of angle QPU.

So,  ∠QPA = ∠UPA

3x + 2 = 4x - 9

Subtract 3x and add 2 on both sides of equation.

4x - 3x = 9 + 2

x = 11

Now plug in x value in ∠QPA=3(11)+2

=33+2=35 degrees.

Hence, Measures ∠ARU is 40 degrees, AU is 20 degrees and ∠QPA is 35 degrees.

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Answer:

Refer to the photo taken.

Step-by-step explanation:

Answer: i know how to do it but i can't really see it pls bring it closer

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Answer:

(0,14)  This is the y intercept.

(28,0) This is the x intercept.

Step-by-step explanation:

Let x = 0

x + 2y = 28

0 + 2y = 28

2y = 28  Divide both sides by 2

x = 14

(0,14)  This is the y intercept.

Let y = 0

x + 2y = 28

x + 2(0) = 28

x + 28

(28,0) This is the x intercept.

The equation y = 10x - 9 is rewritten in standard form as: -10x + y = -9.

A line's equation can be expressed in standard form as Ax + By = C. Here, A, B, and C are integers.

We are given the equation of a line as y = 10x - 9, which is expressed in slope-intercept form. We are asked to rewrite the equation in standard form. Follow the steps below:

y = 10x - 9 [given]

Subtract 10x from both sides of the equation:

y - 10x = 10x - 9 - 10x [subtraction property of equality]

y - 10x = -9

Rearrange the equation to fit the standard form:

-10x + y = -9

Therefore, in standard form, the equation, y = 10x - 9 is rewritten as -10x + y = -9.

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The number of people who speaks neither of these languages is 8.

Set theory is a branch of mathematical logic that studies sets, which can be described informally as collections of objects. Although any object can be collected into a set, set theory as a branch of mathematics is primarily concerned with those that are relevant to mathematics as a whole.

Sets are well-defined collections that are entirely defined by their elements. In this case, in the group of 42 people, 30 people speak Spanish and 20 people speak French, those who speak neither of these languages will be:

= 20 + 30 - 42

= 8

Therefore, 8 people neither speaks the languages.

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Answer:

ax+b=cx+d

Step-by-step explanation:

The new coordinates of each of the triangle coordinates are;

1) A'(-12, 6), B'(3, 9), C'(-9, 18)

2) A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)

3) X'(-8, 2), Y'(2, 14), Z'(8, 8)

4) X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)

5) A'(-8, 4), B'(2, 6), C'(-6, 12)

6) X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)

7) X'(-20, 5), Y'(5, 35), Z'(20, 20)

8) A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)

Dilation is a transformation whereby an image size could increase or even decrease but will retain the same shape as the original one. Therefore, we will simply multiply each coordinate by the scale factor;

The coordinates of both triangles are given as;

Triangle ABC = A(-4, 2), B(1, 3), C(-3, 6)

Triangle XYZ = X(-4, 1), Y(1, 7), Z(4, 4)

1) The dilation transformation of triangle ABC by a scale factor of 3 means we multiply each ABC coordinate by 3 to get;

A'(-12, 6), B'(3, 9), C'(-9, 18)

2) The dilation transformation of triangle ABC by a scale factor of 1/2 means we multiply each ABC coordinate by 1/2 to get;

A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)

3) The dilation transformation of triangle XYZ by a scale factor of 2 means we multiply each XYZ coordinate by 2 to get;

X'(-8, 2), Y'(2, 14), Z'(8, 8)

4) The dilation transformation of triangle XYZ by a scale factor of 1/4 means we multiply each XYZ coordinate by 1/4 to get;

X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)

5) The dilation transformation of triangle ABC by a scale factor of 2 means we multiply each ABC coordinate by 2 to get;

A'(-8, 4), B'(2, 6), C'(-6, 12)

6) The dilation transformation of triangle XYZ by a scale factor of 1/3 means we multiply each XYZ coordinate by 1/3 to get;

X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)

7) The dilation transformation of triangle XYZ by a scale factor of 5 means we multiply each XYZ coordinate by 5 to get;

X'(-20, 5), Y'(5, 35), Z'(20, 20)

8) The dilation transformation of triangle ABC by a scale factor of 1/4 means we multiply each ABC coordinate by 1/4 to get;

A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)

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Answer: y=-2x+36

Step-by-step explanation:

slope intercept form

Y=mx+b

m= slope

b= Y-intercept

to find the slope, use the slope formula

y2-y1=x2-x1

(4,28),(11,14)

14-28/11-4

-14/7

-2

Slope is -2

y=-2x+b

Substiute in (11,14) to find b

14=-2(11)+b

14=-22+b

b=36

y=-2x+36

Answer: the slope of the line is 4

Step-by-step explanation:

We only need two ordered pairs to find the slope

(-2,-10), (-1,-6)

the slope formula is y2-y1/x2-x1

-6-(-10)/-1-(-2)

-6+10/-1+2

4/1

4

the slope of the line is 4

Answer:

4

Step-by-step explanation:

Knowledge Needed

The slope is the amount the y-value changes on a line when the x-value changes by 1.

Slope Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Question:

We have the points:

(-2,-10)

(-1,-6)

(0,-2)

(1,2)

We only need 2 points to plug into the slope formula. I'll use the first 2.

(-2,-10) ; (-1,-6)

[tex]\frac{-6--10}{-1--2}[/tex]

[tex]\frac{4}{1}[/tex]

4