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harina [27]
3 years ago
8

Which transformation will always map a parallelogram onto itself? A. a 90° rotation about its center B. a reflection across one

of its diagonals C. a 180° rotation about its center D. a reflection across a line joining the midpoints of opposite sides
Mathematics
2 answers:
Katen [24]3 years ago
6 0

Answer:

C. a 180° rotation about its center.

belka [17]3 years ago
4 0

<u>Answer:</u>

The correct answer option is C. a 180° rotation about its center.

<u>Step-by-step explanation:</u>

We are to determine whether which of the transformations will always map a parallelogram onto itself.

We know that a parallelogram has a rotational symmetry of 2 so during a rotaion of 360 degrees, a parallelogram maps onto itself twice, which is at 180^{\circ} and 360^{\circ} about its center.

Therefore, the correct answer option is C. a 180° rotation about its center.

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The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop
ella [17]
The data given as a whole would be called ungrouped data. Now to get the variance, you will need the formula:

s^2=   <u>Σ(x-mean)^2</u>
                   n      

x = raw data
mean = average of all data
n = no. of observations
s^2 = variance

Now we do not have the mean yet, so you have to solve for it. All you need to do is add up all the data and divide it by the number of observations. 

Data: <span>90, 75, 72, 88, 85        n= 5  
</span>Mean=<u>Σx</u>
            n
Mean = <u>90+75+72+88+85 </u>  = <u>410</u> = 82
                        5                        5

The mean is 82. Now we can make a table using this.

The firs column will be your raw data or x, the second column will be your mean and the third will be the difference between the raw data and the mean and the fourth column will be the difference raised to two. 

90-82 = 8
8^2 =64

75-82 = -7
-7^2 =49

72-82 = -10
-10^2=100

88-82=6
6^2 = 12

85-82=3
3^2=9

Now you have your results, you can now tabulate the data:

 x      mean         x-mean        (x-mean)^2     
90       82                8                      64                       
75       82               -7                      49
72       82              -10                    100
88       82                6                       36
85       82                3                       9

Now that you have a table, you will need the sum of (x-mean)^2 because the sigma sign Σ in statistics, means "the sum of."

64+49+100+36+9 = 258

This will be the answer to your question. The value of the numerator of the calculation will be 258.

 
<u>
</u>
6 0
4 years ago
Lily is using wrapping paper to cover a box with dimensions 7 centimeters by 10 centimeters by 5 centimeters. What is the least
Leto [7]
Answer: 310 centimeters square of paper

Explanation: to find the answer you need to know the surface area of the box. So you use the formula SA = 2ab+2bc+2ac
A=7
B=10
C=5
After inputting the values you get:
SA = 2(7)(10) + 2(10)(5) + 2(7)(5)
and after simplifying:
SA = 140+100+70
SA=310
4 0
3 years ago
Questions:<br>1) 2x2 + 5x + 2 = 0​
xz_007 [3.2K]

Answer:

x = -1/2 and -2

Step-by-step explanation:

Solve for <em>x</em>: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Using the quadratic formula: Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

7 0
3 years ago
Read 2 more answers
a number has a 4 in the thousands place the number also has a digit whose value is 10 times the value of the 4 on the thousands
maks197457 [2]
Well I can still answer that question without the following and it will be 44,000
3 0
3 years ago
A television screen, length is 16 1/2 inches, width is w inches, and area is 462 square inches. Select all THREE equations that
tatiyna

Answer:

it's B, C, and D

Step-by-step explanation:

A. w ⋅ 462 = 16 1/2

not A

w * a ≠ l

B. 16 1/2 ⋅ w = 462

is B

l * w = a

C. 462 ÷ 16 1/2 = w

is C

a / l = w

D. 462 ÷ w = 16 1/2

is D

a / w = l

E. 16 1/2 ⋅ 462 = w

not E

l * a ≠ w

3 0
3 years ago
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