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bazaltina [42]
3 years ago
10

Think about the properties of a square. Is a square also a rhombus? Is it also a rectangle? Answer each question and explain you

r answers. Write two to four sentences.
Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

Properties of rhombus

. all the properties of a parallelogram( apply the ones that matter hair are parallel sides opposite angles congruent and consecutive angles are supplementary)

. all sides are congruent by definition

. the diagonals bisect the angles

. the diagonals are perpendicular bisectors of each other

Properties of rectangle

. all the properties of parallelogram apply (the ones that matter hair are parallel sides, opposite sides are congruent, and diagonals bisect each other)

. all angles are right angles by definition

. the diagonals are congruent

Properties of square

. all the properties of a rhombus apply( the ones that matter have a parallel sides diagonals are perpendicular bisector of each other and diagonals bisect the angles)

. All the properties of rectangle apply (the only one that matter where is diagonals are congruent)

. All angles are right angles by definition

Hope it will help you

Step-by-step explanation:

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Quadrilateral DEFG - quadrilateral KLMN. Find the given side length.
Delvig [45]

Answer:

Step-by-step explanation:

By the diagram FG = MN.

3y + 3 = 5y - 25          Add 25 to both sides

3y + 3 + 25 = 5y         Subtract 3y from both sides

28 = 5y - 3y                Combine

28 = 2y                       Divide by 2

28/2 = 2y/2

y = 15

15 is not your answer. It is just the value of y.

3y + 3 = 3*15 + 3 = 45 + 3 = 48

3 0
3 years ago
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4 0
3 years ago
In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes
ale4655 [162]

Answer:

The sample mean is \bar{x}=14.371 min.

The sample standard deviation is \sigma = 18.889 min.

Step-by-step explanation:

We have the following data set:

\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

\bar{x} = \frac{{\sum}x}{n}

where, n is the number of values in the data set.

\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }

The mean of a sample is  \bar{x}=14.371.

Create the below table.

Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889

7 0
3 years ago
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