Name 2 angles that form a linear pair in the diagram.
24 and 25
27 and 29
22 and 23
and 22
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Answer:

30

Step-by-step explanation:

this is a right-angled triangle.

as we can see on the graph and the coordinate units,

AB = 4

BC = 7

=>

AC² = AB² + BC² = 4² + 7² = 16+49 = 65

AC = sqrt(65)

now, in every triangle there are certain ratios equal to each other.

a/sin(A) = b/sin(B) = c/sin(C)

a is here BC

b is here AC

c is here AB

and we know B = 90 degrees

sin(90) = 1

so, we have

sqrt(65)/1 = 4/sin(C)

sqrt(65) = 4/sin(C)

sin(C) = 4/sqrt(65) = 0.496138938...

C = 29.7448813...

the closest answer option is 30.

Answer:

4. The range of the function is all

real numbers less than or equal to 9.

Answer:

B

Step-by-step explanation:

In a boxplot, when the median is in the middle of the box, or when there are equal proportions around the median, the distribution is symmetric. As is shown here, the median is closer to the left side of the box, making it positively skewed (the mean is greater than the median) and not symmetric.

Answer:

9:42

Step-by-step explanation:

First, convert his second run into minutes so its easier to simplify

than divide both the timings by 5

to get the answer as 9:42 as the simplest ratio form

Answer:

18 inches

Step-by-step explanation:

A=L·H

108 in²=L·6 in

L=[tex]\frac{108}{6}[/tex]

L=18 inches

Answer:

75.6

Step-by-step explanation

HOPE I HELPED ;)

1/10

Step-by-step explanation:

A∩B∩C means what these 3 numerical sets have in common, and it is the 2 in the center of the circle. The total elements in the pic are 20, and there are 2 elements inside the P, so

2/20 = 1/10

I believe its <ABF =<EDJ

Answer: 14, 48, 50

Step-by-step explanation:

14^2+48^2=50^2

Answer:

a. invalid

b. invalid

c. valid

d. valid

Answer:

17.6

Step-by-step explanation:

19sin(68) = 17.6

Answer:

CI 98 %  =  ( 3.332  ;  5.668 )

t(c)  =  2.9979

Step-by-step explanation:

Confidence Interval  CI  98 %   then  α  =  2 %   α  =  0,02    α/2  =  0.01

Sample information:

Sample size    n  =  8

sample mean     x  =  4.5

standard deviation of sample    s  =  1.1 kg

degree of freedom     df  =  n  -  1     df  =  8  -  1    df  =  7

With    α/2  0.01  and  df  =  7 from t-studente table we find   t(c)

t(c)  =  2.9979

CI 98 %  =  (   x  ±  t(c) * s/√n )

CI 98 %  =  (  4.5  ±  2.9979 *  1.1/ √8 )

CI 98 %  =  (  4.5  ±  3.2976/2.8228 )

CI 98 %  =  (  4.5  ± 1.168 )

CI 98 %  =  ( 3.332  ;  5.668 )

Answer:

Kindly check explanation

Step-by-step explanation:

Using technology on the data above, the least square regression equation obtained is ;

y = 33.4528+2.7975x

Where, slope = 2.7975 ; Intercept = 33.4528

x = chirps per second, independent variable

y = temperature, predicted variable.

The Correlation Coefficient, r = 0.71

The Coefficient of determination, r² = 0.71² = 0.5041

The percentage of variation in y due to regression is the r² value, which is about 50.41%

Hence, the percentage variation in temperature due to the regression line is 50.4, while the rest is due to other factors.

Predicted temperature, y when x = 19 ;

Put x = 19

y = 33.4528+2.7975(19)

y = 86.60°

Answer:

x = 3.3

Step-by-step explanation:

Reference angle = 51°

Hypotenuse = x

Adjacent = 5.3

Apply trigonometric function CAH, which is:

Cos 51° = Adj/Hyp

Cos 51° = 5.3/x

x*Cos 51° = 5.3

x = 5.3/Cos 51°

x = 3.3 (nearest tenth)

Answer:

0.14545454545 Maybe

Step-by-step explanation:

Answer:

8/55

Step-by-step explanation:

The first thing you need to do is find a common denomintor.

The first denominator is 5, the other is 11.

If you multiply these together, you will get 55. This can not be reduced and still be divisable by 5 and 11, so this is your new denominator.

So for the 3/5 multiply both top and bottom by 11, since thats how many times bigger the denominatir needs to be:

3*11/5*11= 33/55

Then for 5/11 multiply both top and bottom by 5, since thats how many times bigger the denomator is to make 55:

5*5/11*5=25/55

Now we have:

33/55-25/55

When subtracting fractions, you are only subtracting the two numerators, and the denominators are unaffected:

33-25/55=8/55

So 8/55 is your answer.

Hope this helps!

Answer:

x > 6

Step-by-step explanation:

Problem: 5x + 7 > 37

Subtract 7 from both sides: 5x > 30

Divide both sides by 5: x > 6

Answer: x > 6

Answer:

c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%

Step-by-step explanation:

the participants increasing = 185-150=35

the percentage = 35/150 × 100% = 23.3%

Option (C) The absolute change is 35 students and the relative change indicates an increase of 23.3% is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.

c) The absolute change is 35 students and the relative change indicates an increase of 23.3%

The change in participent = 185 - 150 = 35

Percentage change = (35/150)×100 = 23.3%

Thus, option (C) The absolute change is 35 students and the relative change indicates an increase of 23.3% is correct.

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Answer:

The answer is "Option b"

Step-by-step explanation:

Through this context, it is determined that the p-value is much less than 0.05, which is 0.021, so the rejection of the null hypothesis at 5%. There should be enough evidence to demonstrate that now the effect of the organization was substantial on how long it has taken to solve the issue. This result is statistically important.

The correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.

From the table, we have the following values

F = 4.467

df between group = 2

df within group = 27

To reference the result, we make use of:

F(df between group, df within group) =  F value

So, we have:

F(2, 27) = 4.47

The above result shows the F value approximated to two decimal points

Hence, the correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.

Read more about APA styles at:

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Answer:

n = 64/9

Step-by-step explanation:

3√n=8

Divide each side by 3

3/3√n=8/3

sqrt(n) = 8/3

Square each side

(sqrt(n))^2 = (8/3)^2

n = 64/9

Answer:

n = 64 / 9

Step-by-step explanation:

3√n = 8

Divide both side of equation by 3

3√n / 3 = 8/3

√ n = 8 / 3

Square both side of equation

√n² = √(8/3)

n = 64/9

The volume of the prism is (B) 864 mm3

Step-by-step explanation:

The given equation is :

y = 2x-7

We will first find the points,

x  0 , , 3.5, 1 , 2 , 3

y -7 , 0, -5, -3, -1

The graph of the above equation is as follows :

It is a linear equation.

Answer:

opp/adj

havent u pay attention in ur math class?

you will have to find the opp using a^2+b^2+c^2

Step-by-step explanation:

I hope this is help full to you

Answer: 16 gallons

Step-by-step explanation:

Since the the indicator goes from 1/8 of a tank to 3/4, we need to know the difference and this will be:

= 3/4 - 1/8

= 6/8 - 1/8

= 5/8

Therefore, 10 gallons represents 5/8 of the total capacity. Therefore, the total capacity will then be:

5/8 of x = 10

5x/8 = 10

5x = 10 × 8

5x = 80

x = 80/5

x = 16

Therefore, the total capacity is 16 gallons

Answer:

VTU    T     UTV     all work

Give me brainiest answer please it helps a lot! :D

Step-by-step explanation:

Answer:

The answer is A <VTU, B <T and D <UTV

Answer:

Step-by-step explanation:

for sides you can use ruler but for angles you should use protractor

The tools Sami would used to measure the sides and angles of the parallelogram are: compass and ruler.

What is a Parallelogram?

A parallelogram is a type of quadrilateral that has two pairs of opposite sides that are parallel and congruent, and has opposite angles that are also congruent.

A compass ca be used to measure the interior angles while a ruler can be used to measure the side lengths of the parallelogram.

Therefore, the tools Sami would used to measure the sides and angles of the parallelogram are: compass and ruler.

Learn more about the parallelogram on:

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Answer:

CE = 3

Step-by-step explanation:

Given:

AE = 3

EB = 4

CE = x

ED = x + 1

Required:

CE

Solution:

First we need to determine the value of x by generating am equation as follows:

CE × ED = AE × EB (Interacting Chords Theorem)

Substitute

x × (x + 1) = 3 × 4

x² + x = 12

Subtract 12 from each side

x² + x - 12 = 12 - 12

x² + x - 12 = 0

Factorize to find the value of x

x² + 4x - 3x - 12 = 0

x(x + 4) -3(x + 4) = 0

(x - 3)(x + 4) = 0

x - 3 = 0

x = 3

Or

x + 4 = 0

x = -4

Let's use the positive value of x

CE = x = 3

Answer:

[tex]x = - \frac{494}{3}[/tex] [tex]= - 164\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]75 + \frac{3}{8} x = 13\frac{1}{4}\\\\75 + \frac{3}{8} x = \frac{53}{4}\\\\\frac{3}{8}x = \frac{53}{ 4} - 75\\\\\frac{3}{8}x = \frac{53-300}{4}\\\\\frac{3}{8}x = - \frac{247}{4}\\\\x = -\frac{247 \times 8}{4 \times 3} \\\\x = -\frac{494}{3}[/tex]

Answer:

$48

Step-by-step explanation:

200 x .02 = 4 (This finds how much interest you pay per year.)

4 x 12 = 48 (This finds how much interest you pay altogether.)

If you borrow $200 for 12 years at an annual interest rate of 2%, then we have pay $248 altogether.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

If you borrow $200 for 12 years at an annual interest rate of 2%

We need to find 2% of 200.

Firstly we have to convert  2% to decimal number by dividing with 100.

2/100=0.02

Now we have to multiply 0.02 with 200

0.02×200=4

For a month it is four.

Now we are calculating for year

4×12=48

So now the interest amount is 48.

Now add 48 and 200

48+200

248

Hence, If you borrow $200 for 12 years at an annual interest rate of 2%, then we have pay $248 altogether.

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Answer:

The answer is option A.

:)))))))