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Dmitriy789 [7]
3 years ago
10

CAN YOU HELP ME WITH THIS​

Mathematics
2 answers:
____ [38]3 years ago
8 0

the sum of the expanded angle is 180⇒

40+40+2x+30=180\\2x=70\\x=35

Vera_Pavlovna [14]3 years ago
3 0

Answer:

x=35

Step-by-step explanation:

Add the 2 known angles: 80°

Then subtract them from eight since a straight line is 180°: 180-80= 100

then you have the equation: 2x+30=100

2x+30=100

     -30  -30

      2x=70

       \frac{2x}{2} =\frac{70}{2}

        x=35

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How many sections will a paper have if you fold it seven times??? Asking this because my math book says so... :/
erastovalidia [21]
A4 80g copy paper 297mm long ang 0.1mm thick so after 7 folds you would have 2.5mm of length 12.8mm of thickness.

Actually i cant fold it more than 6 times because the thickness going arund in each fold would consume to much.
7 0
3 years ago
If 26.97 ÷ 6.3 is written in long division form as so that the divisor is written as a whole number, where should the decimal po
Soloha48 [4]
<h2>Answer:</h2>

The decimal point should be placed between digits 9 and 7 in the dividend. i.e the dividend becomes 269.7

<h2>Step-by-step explanation:</h2>

Dividend = 26.97       [numerator]

Divisor = 6.3               [denominator]

If 26.97 ÷ 6.3 is written in long division form so that the divisor is written as a whole number, we have the following;

(i)First convert the divisor to a whole number by multiplying by 10 i.e

6.3 x 10 = 63

(ii) Since the divisor (denominator) has been multiplied by 10, to make sure the division expression stays the same, we need to multiply the dividend(numerator) too by 10. i.e

26.97 x 10 = 269.7

(iii) The division expression then becomes;

269.7 ÷ 63

Therefore, the decimal point should be placed between digits 9 and 7 in the dividend.

8 0
3 years ago
In the diagram below, FCE is a tangent to a circle centre and AC is parallel to OE AOB is a diameter. 5.1 Show that 5.1.1 CD = D
klasskru [66]

Answer:

a b c d

Step-by-step explanation:

5 0
2 years ago
The resting heart rate of 60 patients is shown in the frequency table below.
Murrr4er [49]

The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

<h3>How to determine the standard deviation of the data set?</h3>

The dataset is given as:

Heart Rate  Frequency

60 1

65 3

70 4

75 12

80 8

85 15

90 9

95 5

100 3

Calculate the mean using

Mean = Sum/Count

So, we have

Mean = (60 * 1 + 65 * 3 + 70 * 4 + 75 * 12 +  80 * 8 +  85 * 15 +  90 * 9 +  95 * 5 + 100 * 3)/(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3)

Evaluate

Mean = 82.25

The standard deviation is

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f -1}}

So, we have:

SD = √[1 * (60 - 82.25)^2 + 3 * (65 - 82.25)^2 + 4 * (70 - 82.25)^2 + 12 * (75 - 82.25)^2 + 8 * (80 - 82.25)^2 +  15 * (85 - 82.25)^2 +  9 * (90  - 82.25)^2 + 5 * (95 - 82.25)^2 + 3 * (100 - 82.25)^2)]/[(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3 - 1)]

This gives

SD = √85.9533898305

Evaluate

SD = 9.27

Hence. the standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

Read more about standard deviation at:

brainly.com/question/4079902

#SPJ1

5 0
2 years ago
Cassi collects glass bottles for a deposit.She can earn $0.25 for five bottles.Last week she earns $12.75.How many bottles did C
garik1379 [7]

$0.25 = 5 bottles

Divide both sides by 5:

$0.05 = 1 bottle

Last week: $12.75

12.75 = 0.05b where b represents bottles

Divide all by 0.05 to get b alone:

255 = b

7 0
3 years ago
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