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Answer:

[tex]a_{n}[/tex] = 3n + 77

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then

[tex]a_{n}[/tex] = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77

Given:

A circle with center Z and the points W, X, Y are on the circumference of the circle.

To find:

The measure of angle WXY.

Solution:

From the given figure, we get

[tex]Arc(XY)=156^\circ[/tex]

[tex]Arc(WX)=86^\circ[/tex]

The measure of arc of the complete circle is 360 degrees.

[tex]Arc(WX)+Arc(XY)+Arc(WY)=360^\circ[/tex]

[tex]86^\circ+156^\circ+Arc(WY)=360^\circ[/tex]

[tex]Arc(WY)=360^\circ-86^\circ-156^\circ[/tex]

[tex]Arc(WY)=118^\circ[/tex]

The measure of arc WY is 118 degrees. It means the central angle on this arc is also 118 degrees.

[tex]m\angle WZY=118^\circ[/tex]

According to the central angle theorem, the inscribed angle on an arc is always half of its central angle.

[tex]m\angle WXY=\dfrac{m\angle WZY}{2}[/tex]

[tex]m\angle WXY=\dfrac{118^\circ}{2}[/tex]

[tex]m\angle WXY=59^\circ[/tex]

Therefore, the correct option is A.

Answer:

25

Step-by-step explanation:

you might wanna use a calculator

Answer is option B.

[tex] \frac{ - 1}{ 25 } [/tex]

Explanation:

5 to the power -2 can be written as

[tex] {( {5}^{2})}^{ - 1} [/tex]

which will be

[tex] {25}^{ - 1} [/tex]

which will be

[tex] \frac{ - 1}{ 25 } [/tex]

Answer:

Step-by-step explanation:

The square root of a negative number is an irrational value

Answer:

✓-1 is an error but according to the rule of mathematics -1 is still the same thing as 0

✓0 is = 0

look at png sorry i need to type 20 characters but the chart explains everything

simplify your answer but adding/subtracting like terms

Answer:

AA

Step-by-step explanation:

∠N and ∠E = 44°

∠A equals ∠A at 33°

Step-by-step explanation:

.............. just for filling 20 characters

Answer:

42

Step-by-step explanation:

The remaining sheets of paper can be find in this way:

8-2 = 6

for each sheet of paper she drew 7 stars, so the total can be find in this way:

6 x 7 = 42 stars

Answer:

its a on edg 2021

Step-by-step explanation:

The median age of a man at the time of his first marriage is, on the average, constant.

It represents the average amount by which the function changed per unit across the time period. It is calculated using the slope of the line connecting the interval's ends on the function's graph.

Assuming that the United States Bureau of the Census conducts a formal census of everyone in the United States every ten years, the following data provides the median age of an American man at the time of his first marriage.

Determine the rate of change between 1950 and 1960.

The average rate of change = [f(a) - f(b)]/ [ a - b ]

The average rate of change is equal to (22.8 - 22.8) / 10 = 0.

As a result, the average rate of change between 1950 and 1960 is zero. B is the right answer.

learn more about average rate of change here:

brainly.com/question/11627203

#SPJ7

Answer: m is the slope and b is the y-intercept.

Step-by-step explanation:

it is understandable that the x has a coefficient of 1, so the m is 1 . and the y-intercept( b ) is −4 .

Answer:

I'm pretty sure for the percent question the answer would be A because 6% of 40,000 is 2400 and if I multiply that 5 times I get 12000 so I believe its A!

Answer:

0 i think

Step-by-step explanation:

Answer:

The answer is -69,420 ! 69,420 - 69,420 = 0. next you multiply it and its 0 again then you add it 69,420 then subtract it equals 0 then subtract again it equals -69,420 then multiply it equals -69,420 then you have to add 69,420 it equals 0 again then you subtracted 69,420 and that means its -69,420!

Step-by-step explanation:

Answer:

The answer selected is correct

Step-by-step explanation:

1/5 liters = 200 milliliters

Answer:

c) similar by the AA rule

Answer:

x = 11

Step-by-step explanation:

Assuming that segment EG is a diameter we can solve this using the straight angle theorem ( Which states that angles on a straight line add up to equal 180. Also note that central angles and there corresponding arcs are congruent. )

We are also told that CH is a bisector.

A bisector splits an angle into TWO EQUAL parts.

mDG is split into mDC and mCG

So mDC = mCG

This meaning that because mDC = 7x + -1 , mCG also equals 7x - 1

Leading to us having enough information to use the straight line theorem ( which also works with half circles and arcs. )

So 180 = 2 ( 7x - 1 ) + 2x + 6

now we solve for x

step 1 distribute the 2

2 * 7x = 14x

2 * - 1 = -2

now we have 180 = 14x - 2+ 2x + 6

step 2 combine like terms

14x + 2x = 16x

-2 + 6 = 4

now we have 180 = 16x + 4

step 3 subtract 4 from each side

4 - 4 cancels out

180 -  4 = 176

Now we have 176 = 14x

step 4 divide each side by 14

176 / 16 = 11

14x/14 = x

we're left with x = 11

Answer:

correct

Step-by-step explanation:

Angle-Side-Angle (ASA) Postulate:

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

<C = <G

CA = GD

<A = <D

Triangle CAT = Triangle GDO are the two triangles that are congruent by the ASA Postulate.

Answer:

Total Money= $250

Fence Price=$22.50/m

Metres can buy= $250/22.50= 11.11 metres

Complete question :

Between 12:00 PM and 1:00 PM, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. F(t)=1−e^−0.1t

Determine how many minutes are needed for the probability to reach 80%.

Answer:

16.09 minutes

Step-by-step explanation:

Given the function :

F(t)=1−e^−0.1t

To attain 80% probability ; 80% = 0.8

0.8 = 1 - e^-0.1t

0.8 - 1 = - e^-0.1t

-0.2 = - e^-0.1t

Take the In of both sides

In(0.2) = In( e^-0.1t)

−1.609437 = - 0.1t

Divide both sides by - 0.1

−1.609437 / -0.1 = - 0.1t / 0.1

16.09 = t

Hence, the time it'll take will be 16.09 minutes

Answer:

80/100=0.80

.8=1-e^-0.3t

.8+1=-e^-0.3t

1.8=-e^-.3t

t=5.36

Step-by-step explanation:

Answer:

Go two back away from -5

Step-by-step explanation:

I don't know how to explain this but like start at -5 and then go back two?

Or start at -10 and go forward 3

hope it helps :)

Answer:

57in^2

Step-by-step explanation:

Divide the shape into 2 recatngles.

Imagine a line cuts away a rectangle of length 12in by width 4in. from a square  of length (12-9)in. and width (7-4)in

This gives you 2 different shapes

Find their area

Rectangle one has an area of = 12in x 4in = 48in^2

Square has an area of = (12-9) in x (7-4) in = 3x 3 inch = 9in.^2

Find their sum to find the area of the whole compound shape:

48+9 = 57in^2

Hope this helps

Answer:

tge radius is half the diameter so 1/2 of 3 1/2 =1.75 or 1 3/4

Answer:

0.54

Step-by-step explanation:

An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.

the answer to the question is 0.1

Answer:

1/10 or 0.1

Step-by-step explanation:

You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.

Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.

Step-by-step explanation: