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Masteriza [31]
2 years ago
5

Parallelograms are four sided figures that have two pairs of opposite, parallel sides. Quadrilateral ABCD

Mathematics
1 answer:
otez555 [7]2 years ago
8 0

Answer:

(A) It would have to lie on AB because DC would rotate halfway around M. B would lie on D and A would lie on C.

(B) AD would lie on the BC line. D would lie on B and A would lie on C.

(C) The Lines CD and AD would only intersect if one line had to rotate 180 degrees around M.

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I will give brainliest<3
Ne4ueva [31]

Answer:

4100 workers

Step-by-step explanation:

8 0
3 years ago
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 4. If there were 4
Elena-2011 [213]

Answer:

2628

Step-by-step explanation:

7/4 = 1.75 = 175%

x is the number of no votes

4599/x = 7/4

x = 4599/(7/4)

x = 2628

5 0
2 years ago
Based only on the information given in the diagram, which congruence
Wewaii [24]

Answer:

Option B

Option E

Step-by-step explanation:

By the use of following postulates we can prove the two right triangles to be congruent.

1). HA - [Equal hypotenuse and an cute angles]

2). LL - [Two legs should be equal]

3). LA - [One leg and one angle must be equal]

4). ASA - [Two angles and the side containing these angles should be equal]

In the given right triangles,

1). OJ ≅ IL

2). ∠O ≅ ∠I

3). ∠J ≅ ∠L

Therefore, two postulates HA, ASA will be applicable for the congruence of the two triangles given.

Options A and E will be the answer.

3 0
3 years ago
Read 2 more answers
Suppose the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars
GuDViN [60]

Answer:

Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

Step-by-step explanation:

We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.

<em>Let X = incomes for the industry</em>

So, X ~ N(\mu=95,\sigma^{2}=5^{2})

Now, the z score probability distribution is given by;

         Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean income of firms in the industry = 95 million dollars

            \sigma = standard deviation = 5 million dollars

So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)

    P(X < 100) = P( \frac{X-\mu}{\sigma} < \frac{100-95}{5} ) = P(Z < 1) = 0.8413   {using z table]

                                                     

Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

5 0
3 years ago
Calculate the variance of the following set of data. <br><br> 3, 33, 303, 233, 3, 73, 83, 63
andrew-mc [135]

Answer:

12083.929

Step-by-step explanation:

First step: find the mean of the data.

mean = <u>3</u><u>+</u><u>3</u><u>3</u><u>+</u><u>3</u><u>0</u><u>3</u><u>+</u><u>2</u><u>3</u><u>3</u><u>+</u><u>3</u><u>+</u><u>7</u><u>3</u><u>+</u><u>8</u><u>3</u><u>+</u><u>6</u><u>3</u>

8

= <u>7</u><u>9</u><u>4</u>

8

= 99.25

Second step: Now we calculate each dog's difference from the Mean.

Example : 3–99.25=96.25

Answer: (-96.25)+(-66.25)+203.75+133.75+(-96.25)+(-26.25)+(-16.25)+(36.25)

Third step: To calculate the Variance, take each difference, square it, and then average the result.

s² = <u>(-96.25)</u><u>²</u><u>+(-66.25)</u><u>²</u><u>+203.75</u><u>²</u><u>+133.75</u><u>²</u><u>+(-96.25)</u><u>²</u><u>+(-26.25)</u><u>²</u><u>+(-16.25)</u><u>²</u><u>+(36.25)</u><u>²</u>

8–1

=<u> </u><u>9</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>4</u><u>3</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>4</u><u>1</u><u>5</u><u>1</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>1</u><u>7</u><u>8</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>9</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>6</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>1</u><u>3</u><u>1</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u>

7

=<u> </u><u>8</u><u>4</u><u>5</u><u>8</u><u>7</u><u>.</u><u>5</u>

7

= 12083.929

Variance Formula:

<u> </u><u> </u>

Variance = s² =<u>Σ(</u><u>x</u><u>i−</u><u> </u><u>x</u><u> </u><u>)</u><u>²</u>

n−1

4 0
3 years ago
Read 2 more answers
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