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2 years ago

Find the measure of the missing angles. 99 e f d

Mathematics

1 answer:

bearhunter [10]2 years ago

8 0

Answer:

E=99

F=72

D=90

Step-by-step explanation:

99 and e are vertical angles, so they are congruent. So now, you have 99+99+f+d=360.

$99+99+f+d=360.\\198+f+d=360$

D is a right angle, so add 90 degrees to your answer and solve from there.

$198+90+f=360\\288+f=360\\f=72$

99, 99, 90, and 72 should be the answers.

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What is the value of the expression?

Blababa [14]

Answer:

- $\frac{9}{10}$

Step-by-step explanation:

Step 1: Add the numerator fractions.

2/5 + 3/10

Here we have to find LCD, the LCD of 5 and 10 is 10

(2*2) + 3 4 + 3

Therefore, 2/5 + 3/10 = --------------- = ------------------

10 10

= 7/10

Step 2: Now substitute 2/5 + 3/10 = 7/10 in the given fraction, we get

7/10

= ----------

-7/9

If we have fraction over fraction, we have to find the reciprocal of denominator fraction and multiply.

The reciprocal of -7/9 is -9/7

Step 3: Now multiply 13/10 and -9/7

= (7/10) x (-9/7)

= -9/10

=-9/10

The answer is - $\frac{9}{10}$

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3 years ago

Read 2 more answers

Is πxy=4 a linear equation?

Darya [45]

Answer:

Yes

Step-by-step explanation:

It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1

Hope this helps

3 0

3 years ago

A scale map says that 1 cm represents 10 km. What distance on the map (in centimeters) represents an actual distance of 360 km?

castortr0y [4]

Answer:

36 cm

Step-by-step explanation:

1cm = 10 km

360km/10km=36

1x36=36

8 0

3 years ago

The meteorologist recorded the amount of rainfall, in centimeters, at 10 different locations during 1 day and then arranged the

nasty-shy [4]

D.2.5 cm. I think...

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3 years ago

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0

3 years ago