Find the value of the unknown angle.
25
30
43
80

The common difference in the arithmetic sequence is 2.5

Arithmetic sequence is a sequence in which the differences between consecutive terms are always same.

Example : 2, 5, 8, 11, ..... is an arithmetic sequence where the common difference is 3.

Formula of arithmetic sequence is [tex]a_{n} =a_{1}+(n-1)d[/tex] ,

where [tex]a_{n}[/tex]= [tex]n^{th}[/tex] term in the sequence,

[tex]a_{1}[/tex]= [tex]1^{st}[/tex] term in the sequence,

d = common difference between terms

Given, [tex]a_{1}[/tex] = 16 and [tex]a_{9}[/tex] = 36

Let, d be the common difference.

∴ From the formula of arithmetic sequence,

   [tex]a_{9} =a_{1}+(9-1)d[/tex]

⇒ 36 = 16+8d

⇒ 36-16=8d

⇒ 20=8d

⇒ d = 20/8

⇒ d = 5/2 = 2.5

Hence, The common difference is 2.5

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Answer:

i got 3.5....................

Answer: 8.3

Step-by-step explanation:

To find the variance, you want to find the mean of the data.

[tex]\frac{3+3+8+1+9+6}{6} =5[/tex]

Now that we have the mean, we find the difference between each data point and the mean.

3-5=-2

3-5=-2

8-5=3

1-5=-4

9-5=4

6-5=1

With the difference, you square each and find the average.

(-2)²=4

(-2)²=4

3²=9

(-4)²=16

4²=16

1²=1

[tex]\frac{4+4+9+16+16+1}{6} =\frac{25}{3}[/tex]

The variance is 8.3.

Answer:

B. 33.6 cm

Step-by-step explanation:

To find determine the length of an arc that subtends an angle of 2.8 radians at the centre of a circle with radius 12 cm, we will follow the steps below;

First write down the formula for calculating length of an arc

If the angle is measured in degree, then the formula for calculating the length of an arc is :

length of an arc = Ф/360  ×  2πr

but if the angle is measured in radians, then the formula for calculating length of an arc will be:

length of an arc = r Ф

where r is the radius    and Ф is the central angle in radians

In the case of the question given to us, the angle is given in radians, so we will use the second formula

angle Ф = 2.8

radius = 12 cm

length of an arc = r Ф

                           =12 × 2.8

                           =33.6

Length of the arc = 33.6 cm

Answer:

Graph of f of x equals 25 multiplied by 1.45 to the power of x

Step-by-step explanation:

Please Mark Brainliest :)

Answer: A is the correct answer .

Start with the last two choices .

You have x+ 5 and × - 5 in the square root .

A square root can never be negative .

That means that the lowest value of y can have in the last two choices is 0 .

Now range doesn't include -4.

Now look at choice B .

sqrt (x) is at least 0.

Then you add 5 .

The range doesn't include -4.

Now look at choice A .

sqrt (x) is at lest 0 .

Now ,you subract 5 .

The lowest value y can have is -5 . That includes -4.

Choice A is the answer .

y will be at least 5

Hope it works out !

Answer: Option 1 or A on your test

Step-by-step explanation: y= root of x-5

Answer:6

Step-by-step explanation:

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/6 for the number cube

and 1/2 for the coin landing on heads

1/6 times 1/2

Answer: Skew line

Step-by-step explanation:

Because it’s 3 dimensional

Answer:

19/8

Step-by-step explanation:

2*8+3=19

Put 19 over 8

Answer:

19/8

Step-by-step explanation:

19/8 has the same value as 2 3/8

2 3/8 as a mixed number is 19/8

To get this we multiply 2 by 8 and add 3. In other words we multiply 2 by the denominator and add the numerator:

2*8+3= 19

Answer:D

Step-by-step explanation:

Found on another page

Answer:

D

Step-by-step explanation:

Answer:

54π

Step-by-step explanation:

that's the answer ok

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

[tex]4x = 1x + 15 \\ 4x - 1x = 15 \\ 3x = 15 \\ \frac{3x}{3} = \frac{15}{3} \\ x = 5[/tex]

Answer:

x=5

Step-by-step explanation:

[tex]4x = 1x + 15 |collect \: like \:terms | \\ 4x - 1x = 15 |simplify| \\ 3x = 15 |divide \:both \: side \: by \: 3 | \\ \frac{3x}{3} = \frac{15}{3} |simplify| \\ x = 5[/tex]

Answer:

The answer would be A. 1 1/5

Step-by-step explanation:

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Answer:

C.

Step-by-step explanation:

So just make the statement easier to read.

Simplify it down to 8 > 2 * 5

The students that had grade 8 was more than twice the number of students who got 5.

Answer:

Step-by-step explanation:

the > is pointing at the 8 which means the 8 is bigger

Answer:

The coordinates would be (3,4)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5 12 13 triple

Answer:

r =5

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

The legs are r and 12

The hypotenuse is (8+r)

r^2 + 12^2 = (8+r)^2

r^2 + 144 = 64 + r^2 +16r

Subtract r^2 from each side

144 = 64 +16r

Subtract 64 from each side

144-64 = 16r

80 = 16r

Divide each side by 16

80/16 = 16r/16

5 =r

Answer:

the answer is 6

Step-by-step explanation:

9+3=12

12÷2=6

Answer: 6

9 + 3 = 12

12 divided by 2 = 6

Answer:

Take a look at explanation below;

Step-by-step explanation:

See attachment( s ) below;

The value of x and y angles on the given lines are x=35 degrees and y=125 degrees.

A line is a collection of points which joins the two points on the surface.

If we consider the angles which are linear pair, we found that

55 +y=180 because they are on a straight line.

From the figure wee found that x+55+90=180 because they are on a straight line.

solving the second equation we will get , x=180-145=35

solving the first equation we will get , y=180-55=125.

Hence the value of x angle is 35 degrees and the value of y angle is 125 degrees.

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Answer:

x = 1 + sqrt 2

Step-by-step explanation

Answer:

c

Step-by-step explanation:

Answer:

26 in

Step-by-step explanation:

Perimeter is calculated by adding all of the outside side lengths.

11 + 7 + 4 + 4 = 26

Answer:

C

Step-by-step explanation:

Answer:

x > 1  and x< 7 , or it can be written as

(1 , 7)

Step-by-step explanation:

IX-4| < 3

x - 4 < 3            and  - (x - 4) < 3

x< 7                         - x + 4 < 3

                                      - x < - 1

                                        x > 1

x > 1  and x< 7

(1 , 7)

Answer:

The costs for a dunk tank and bounce house are the same for 2 hours.

Step-by-step explanation:

The costs for a dunk tank and a bounce house are the same for 2 hours.

The meaning of the point (2, 20) on the graph is that the costs for a dunk tank and a bounce house are the same for 2 hours.

At this point, both the dunk tank and bounce house rentals cost $20.

It indicates the point of intersection between the two lines on the graph, where the costs for both options are equal.

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Answer: A) Alternate Exterior

Step-by-step explanation:

Let's find out the defenition of alternate exterior; "If a pair of parallel lines are cut by a transversal line, then the alternate exterior angles are congruent".

I hope this helps!

Answer:

f(x)=45x+25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You have to times all of them to see the results. For example...

A. 48inches(6x8), 50inches(5x10), 48inches(12x4)

B. 42,50,48(42 is not within 45-50 inches so it can't be B)

C.48,40,48(40 is not within 45-50 inches so it can't be C)

D.42,48,50,48(42 is not within 45-50 inches so it can't be D)

meaning it's A

Hey there!

To find our answer, we need to set up a system of equations. Remember, supplementary angles equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)

A=2B-15 (one angle is 15 degrees less than twice the other)

A+B=180

We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with substitution.

Let's solve with substitution!

2B-15+B=180

3B-15=180              We combine our Bs.

3B=195              We add 15 to both sides.

B= 65                We divide both sides by three.

Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.

180-65=115

Our two angles are 65° and 115°.

We can also check this with the original problem.

If you double 65, we have 130. Then, if we subtract 15, we have 115. Systems of equations are a pretty awesome way to figure this out!

I hope this helps! Have a great day!