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What is the overlap of Data Set 1 and Data Set 2?
a) high
b) moderate
c) low
d) none

In the given polygon-

>>Two of the angles are of 90⁰

The sum of all angle in n-sided polygon is given by -

[tex]\green{ \underline { \boxed{ \sf{(n-2)\times180}}}}[/tex]

Here number of sides,n = 8

So ,the sum of all angle = [tex]\sf (8-2)\times 180[/tex]

[tex]\sf \implies 6 \times 180[/tex]

[tex]\sf \implies 1080 \degree[/tex]

>>Since two of the angles are of 90⁰ ,let's subtract them from total angle sum to get angles in term of [tex]\theta[/tex] only.

[tex]\implies \sf 1080- 2\times 90[/tex]

[tex]\implies \sf 1080- 180[/tex]

[tex]\implies \sf 900 \degree [/tex]

Now, Sum of remaining 6 angles = 6[tex]\theta[/tex]

Also, 6[tex]\theta[/tex] = 900⁰

[tex]\theta = \dfrac{900}{6}[/tex]

[tex]\theta = 150 \degree[/tex]

Answer:

heya ^^

let's first see what the question says -

so , we're given an octagon and the figure states that two of the angles of the octagon are of measure 90°.

while , rest of the angles have been named [tex] \bold{\theta }[/tex] and this thing clears that all the other angles are of equal measure.

now , angle sum property of octagon states that the sum of all the angles of an octagon equals 1080.

therefore ,

[tex]\bold{90 \degree + 90 \degree + \theta+ \theta+ \theta+ \theta+ \theta+ \theta = 1080 \degree }\\ \\ 180\degree + 6\theta = 1080\degree \\ \\ 6\theta = 1080\degree - 180\degree \\ \\ 6\theta = 900\degree \\ \\ \theta = \frac{900}{6} \\ \\ \underline\bold\pink{\: \theta = 150\degree}[/tex]

therefore ,

option ( D ) θ=150 is correct.

hope helpful :D

Answer:

130

Step-by-step explanation:

Assuming everyone handshakes at the meeting. There will be 130 handshakes in total.

It takes 2 people to handshake, and thus to find the number of handshakes we need to do 260/2=130

130 total handshakes

Hope this helps ^^

Answer:

Step-by-step explanation:

if both increases the volume also increase as the same i.e.

twice length and twice radius = twice the volume of wax

Answer:

The answer is R is neither reflexive, nor symmetric, nor

transitive.

Step-by-step explanation:

Let A = {1, 2, 3, 4, 5, 6}.

A relation R is defined on set A as:

R = {(a, b): b = a + 1}

R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}

We can find (a, a) ∉ R, where a ∈ A.

For instance,

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R

R is not reflexive.

It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.

R is not symmetric.

Now, (1, 2), (2, 3) ∈ R

But, (1, 3) ∉ R

R is not transitive

Thus, R is neither reflexive, nor symmetric, nor transitive.

Answer:

[tex]\left( 3-2i\right) \left( 3+2i\right) =13[/tex]

Step-by-step explanation:

Note :

i² = −1

(a - b)(a + b) = a² - b²

________________

[tex]\left( 3-2i\right) \left( 3+2i\right) =3^{2} - (2i)^2[/tex]

                         [tex]=9 - (2)^2\times i^2[/tex]

                         [tex]=9 - 4(i)^2[/tex]

                         [tex]=9-4\times(-1)[/tex]

                         [tex]=9+4[/tex]

                         [tex]=13[/tex]

Answer: (3 – 2i)(3 2i)=13

Step-by-step explanation:

edge2020

find the sum of all the values and divide the sum by the number of values.

[tex] \frac{(61 + 98 + 60 + 60 + 57 + 81 + 93)}{7} = \frac{510}{7} [/tex]

[tex] = 72.86[/tex]

arrange the values in either ascending or descending, and find the number in the middle.

[tex]57 \: 60 \: 60 \: 61 \: 81 \: 93 \: 98[/tex]

[tex] = 61[/tex]

the most frequently occurred number.

[tex] = 60[/tex]

arrange the values in ascending order and subtract the lowest value from the highest one.

[tex]98 - 57[/tex]

[tex] = 41[/tex]

Answer: a= 24 , B is 13

Step-by-step explanation:

A + B = 37

A = B +21

Answer: 36.2

Step-by-step explanation:

Answer:

[tex]\boxed{\sf{x=\dfrac{21}{4}=5.25 }}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

Expand the form multiply.

4*x=4x

4*3=12

Rewrite the problem down.

4x-12=9

Add by 12 from both sides.

4x-12+12=9+12

Solve.

Add the numbers from left to right.

9+12=21

4x=21

Divide by 4 from both sides.

4x/4=21/4

Solve.

Divide the numbers from left to right.

x=21/4

21/4=5.25

x=21/4=5.25

I hope this helps you! Let me know if my answer is wrong or not.

The answer is B. Apply the distributive property to get 4x−12=9. You would do 4 times x to get 4x and then 4x3 to get 12. Then apply that information to the equation to get 4x−12=9.

Answer:

t=1

Step-by-step explanation:

16-2t=5t+9

step 1 :group like term to the same side

16-9=5t+2t

step 2 : combine

7=7t

step 3: solve for t

t=7/7

t=1

The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

From the question, we are to determine the point-slope form of the given line

The point-slope form of an equation of a straight line is written as

[tex]y-y_{1}=m(x-x_{1})[/tex]

Where m is the slope and [tex](x_{1},\ y_{1})[/tex] is a point on the line

From the given information,

m = -3

And in the diagram,

One of the points on the line is (2, -2)

Therefore, we can write that

x₁ = 2 and y₁ = -2

Substituting into the point-slope form of an equation of a line,

We get

y - (-2) = -3(x - 2)

This becomes

y + 2 = -3(x - 2)

Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231

The diagram for the question is attached below.

Answer:

25,050

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

With replacement, we use the principle of multiplication with counting.

[tex]\frac{3redballs}{9total balls} * \frac{3redballs}{9total balls} = \frac{1}{3}* \frac{1}{3} = \frac{1}{9}[/tex]

The probability of selecting two red marbles with replacement is 1/9.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.

If we select a marble at random from the bag, there are 3 red marbles out of 9 total marbles. After replacing the marble back in the bag, the probability of selecting another red marble is still 3/9 (assuming the first marble selected was red).

To find the probability of selecting two red marbles with replacement, we need to multiply the probabilities of each event happening.

Therefore, the probability of selecting two red marbles with replacement can be calculated as follows:

P(selecting two red marbles with replacement) = P(selecting a red marble) x P(selecting a red marble given that the first marble was red)

P(selecting two red marbles with replacement) = (3/9) x (3/9)

P(selecting two red marbles with replacement) = 1/9

Therefore, the probability of selecting two red marbles with replacement is 1/9.

To know more about probability follow

https://brainly.com/question/23947318

#SPJ2

Answer:

The function is even

good luck

The inequality expression that accurately represents the phenomena described in the question is:
212– 1/500 e < 195 (Option A)

Inequalities can be used to represent many real-life problems. Inequalities are similar to equations.

The inequality above represents the situation in which the boiling point of the sea reduces as the altitude increases.

Learn more about inequalities at:

https://brainly.com/question/24372553

I love it too man or girl (・∀・)

Answer:

-5x/2 - 30

Step-by-step explanation:

Oop I placed it in the wrong spot

Place the give into the formula

f(g(x)) = f(x/2+4)

Plug it in

-5(x/2+4)+2

Simplfy

-5x/2-20-10

Answer:

-5x/2 - 30

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

As you can see, there are 3 blue marbles, and the amount in total is 12, so the answer is 3/12. 3/12 simplified is 1/4.

Hope This Helps! :) Please give brainliest if you can!

Answer: the graph is shifted 6 units down

Step-by-step explanation:

Step-by-step explanation:

a + 156° = 180° ( supplementary angle )

a = 180° - 156°

a = 24°

Answer:

V = 1046.9

Step-by-step explanation:

The equation for volume is (4/3)pi r^3

substitute 3.14 in for pi and 6.3 in for r so (4/3)*3.14*6.3^3

Answer:

2(8-d)

Step-by-step explanation:

Because it says 2 times the difference this means the difference will be multiplied by 2. It also says difference which means that 8 and d must be subtracting

Answer:

The answer is 40^1/2

Step-by-step explanation:

The square root's value is - 1/2

so  √4 = 4^1/2

Answer:

47°

Step-by-step explanation:

All trianges have a angle total of 180°.

Assuming the triangles are equals:

72+61+x=180

x=47

Answer:

x=11.5

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

( 3/4+1/3) = 3 × 3/ 4 × 3 + 1 × 4/ 3 × 4 = 9/12 + 4/12 = 9+4/ 12 = 13/ 12 = 1 1/12

13/ 12 - 1/ 4 = 13/ 12 - 1 × 3/ 4 × 3 = 13/ 12 - 3 / 12 = 13 - 3 / 12 = 10 / 12 = 10 ÷ 2 / 12 ÷ 2 = 5/6

13/ 12 - 5/ 6 = 13/ 12 - 5 × 2/ 6 × 2 = 13/ 12 - 10/ 12 = 13 - 10/ 12 = 3/ 12 = 3 ÷ 3/ 12 ÷ 3 = 1/4

Answer:

Multiply the grade on the assignment by the grade weight. In the example, 85 times 20 percent equals 17, and 100 times 80 percent equals 80.

Step-by-step explanation: