In the circle, BC is a diameter. What is the measure of x?

In The Circle, BC Is A Diameter. What Is The Measure Of X?

Answers

Answer 1

The measure of the angle x is 22.5 degrees

Circle geometry

Circle theorem includes the concept of tangents, sectors, angles, the chord of a circle and proofs.

A circle is the locus of all points in a plane which are equidistant from a fixed point

From the given diagram

arc AC = 180 - 135

arcAC = 45 degrees

Since the angle at the vertex is half the intercepted arc, hence;

x = 1/2(arc AC)

x = 1/2(45)

x = 22.5 degrees

Hence the measure of the angle x is 22.5 degrees

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Related Questions

Find the distance between the two points shown on the graph below, located at (1, 2) and (3, 1).

Answers

The distance between the two points as depicted on the graph is:

√5.

Given, the points are:

(1,2) = (x₁,y₁) and

(3,1) = (x₂,y₂)

We know that distance between two points is:

d = √(x₂-x₁)²+(y₂-y₁)²

d = √(3-1)²+(1-2)²

d = √(2)²+(-1)²

d = √4+1

d = √5

Hence we get the distance between two given points as √5

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`y=2x^{2}+12x+20` find the vertex

Answers

Answer: (-3,2)

Step-by-step explanation:

Answer:

(-3, 2)

Step-by-step explanation:

There are two methods on finding the vertex. The one I will be using is the faster version.

y=2x^{2}+12x+20

a=2   b=12   c=20

First use the formula -b/2a.

-(12)/2(2)=

=-12/4=-3

-3 is the x-coordinate.

Plug in -3 into the equation for x.

y=2(-3)^{2}+12(-3)+20

y=2(9)+12(-3)+20

y=18-36+20

y=2

The y-coordinate is 2

Use (x, y) for the vertex.

x=-3

y=2

The vertex is (-3, 2)

Hope this helps!

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68=3(6r-1)-7(1-3r) please help i need directions how not just an answer

Answers

Answer:

r=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

68=3(6r−1)−7(1−3r)

68=(3)(6r)+(3)(−1)+(−7)(1)+(−7)(−3r)(Distribute)

68=18r+−3+−7+21r

68=(18r+21r)+(−3+−7)(Combine Like Terms)

68=39r+−10

68=39r−10

Step 2: Flip the equation.

39r−10=68

Step 3: Add 10 to both sides.

39r−10+10=68+10

39r=78

Step 4: Divide both sides by 39.

39r/39=78/39

r=2

g= 4a+4/ 5ca solve for A

Answers

The solution of the equation given as g = 4a +4/5 for a is a = 1/20(5g - 4)

How to solve for in the equation?

The equation is given as

g = 4a +4/5

Multiply through the equation by 5

So, we have

5 * (g = 4a +4/5)

Evaluate the products

So, we have

5g = 20a + 4

Subtract 4 from both sides of the equation

So, we have

20a = 5g - 4

Divide through the equation by 20

So, we have

a = 1/20(5g - 4)

Hence, the solution of the equation given as g = 4a +4/5 for a is a = 1/20(5g - 4)

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Angle R and angle J are a linear pair. If the measure of R = 3x - 5 and the measure of J = 5x + 1 find the measure of J.

Answers

The measure of angle J is 116°

What are linear pairs of angle?

Linear pair of angles are angles formed when two lines intersect at a single point.

Angles are said to be linear if they are adjacent to each other with the intersection of the two lines.

Note that the sum of angles of a linear pair is equal to 180°.

From the information given, we have that;

Angle R = 3x - 5Angle J = 5x + 1

But we have the expression as;

Angle R + Angle J = 180°

substitute the values into the equation

3x - 5 + 5x + 1 = 180°

collect like terms

8x - 4 = 180°

8x = 180 + 4

8x = 184

To determine the value of x, divide both sides by the 8

8x/8 = 184/8

Divide through

x = 23

But we have that;

Angle J = 5x + 1

Angle J = 5(23) + 1

Angle J = 115 + 1

Angle J = 116°

Thus, the measure of angle J is 116°

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place the following complex number in a two dimensional complex plane and find their absolute value "1+i)

Answers

The point (1,1) represents 1+i in the two dimensional complex plane. Absolute value of 1+i = [tex]\sqrt{2}[/tex].

Given the complex number, z = 1+i

The general form of a complex plane is x+iy, where x and y are real numbers.

We can place any complex number into a two-dimensional complex plane with two axes - X and Y.

For z = 1+i, x = 1 and y = 1. So the point (1,1) will represent z = 1+i in the two dimensional complex plane.

The absolute value of a complex number z = x+iy is given by ,

|z| = [tex]\sqrt{x^2+y^2}[/tex]

So for z = 1+i, |z| =  [tex]\sqrt{1^2+1^2}=\sqrt{2}[/tex]

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A metade dos objetos de uma caixa mais a terça parte desses objetos é igual a 25. Quantos objetos há na caixa? ​

Answers

Answer:

Explicação passo-a-passo:

Podemos atribuir a incógnita x ao número de objetos que há na caixa. Assim, teremos as seguintes relações:

Metade dos objetos da caixa = 1/2x

Terça parte dos objetos da caixa = 1/3x

Portanto, o número de objetos que há na caixa será dado resolvendo a equação:

1/2x + 1/3x = 25

3/6x + 2/6x = 25

5/6x = 25

x = 25/(5/6)

x = 25 . (6/5)

x = 150/5

x = 30

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ytzinhawww

ytzinhawww

há 5 minutos

Matemática

Ensino fundamental (básico)

1.Na portaria de um prédio chegaram, certo dia, 65 cartas. Desse total,1/5 foi entregue no 1°andar. Qual é o número de cartas distribuídas nos outros andares? (tem que fazer a conta)

a. 20

b. 35

C. 48

d. 52

2.foram entrevistados 420 candidatos a determinada vaga de um emprego. sabe-se que 5/7 desse número de candidatos foram rejeitados. Então, foram aceitos:

a. 300 candidatos

b. 210 candidatos

C. 380 candidatos

d. 120 candidatos

3.a figura está dividida em cinco partes iguais. a parte pintada representa:

⬜⬜⬜⬜

a. 10%

b. 12%

C. 20%

d. 25%

4.numa caixa 100 bolas, 45 são vermelhas, 20 são azuis, e o restantes são amarelas. em relação ao total a porcentagem de bolas amarelas é:

a. 55/100

b. 25/100

c. 45/100

d. 35/100

5.um dia tem 24 horas, uma hora tem 60 minutos e 1 minuto tem 60 segundos. a fração da hora que corresponde a 35 minutos é:

a. 7/4

b. 7/12

C.35/24

d. 60/35

6.dois terços da população de um município correspondem a 36000 habitantes. pode-se afirmar que esse município tem:

a) 18000 habitantes

b) 36000 habitantes

C) 48000 habitantes

d) 54000 habitantes

7.uma plantação foi feita de modo a ocupar 2/5

da terça parte da área de um sítio, como mostra a figura em relação à área total do sítio, a fraçao que representa a área ocupa por essa plantação é:

⬜⬜

⬜⬜

⬜⬜

⬜⬜

⬜⬜

bem por favor alguém me ajude preciso até amanhã pq é muito importante e se for me ajuda n esquece a conta pq a prof é bem exigente.tchau

melissa drew a scale drawing of a city. a neighborhood park is 36 inches wide in the drawing. the actual park is 60 yards wide. what is the scale of the drawing?

Answers

The scale of the drawing by using proportion is 3 : 5.

According to the given question.

Melissa drew a scale drawing of a city.

The width of the park in the drawing is 36 inches.

And the actual width of the park is 60 yards.

As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.

Therefore, the scale of the drawing by using proportion

= 36iches/ 60 yards

= 3/5

= 3 : 5

Hence, the scale of the drawing by using proportion is 3 : 5.

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an airplne can cruise at 640 mph how far can it fly in 3/5 of an hour

Answers

The plane can fly 384 miles in 3/5 hours.

An airplane can cruise at 570 miles per hour.

We have to find the distance travelled by airplane in 4/3 hours.

Distance = Speed x Time

Distance = 640 x 3/5

Distance = 128 x 3

Distance = 384 miles

Hence, The plane can fly 384 miles in 3/5 hours.

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If 75% of the employees in a company are female and 5% of those female employees are over 6 feet tall what percentage of the company’s employees are both female and over 6 feet tall

Answers

The percentage of the company’s employees are both female and over 6 feet tall is 3.75%

Let the total number of employees in the given company be x. So, the number of female employees in the company are : 75% × x

Number of female employees in company = 0.75x

Now, calculating number of female employees that over 6 feet tall = 0.75x × 5%

The number of female employees that over 6 feet tall = 0.0375x

Percentage of the company’s employees are both female and over 6 feet tall = percentage of female and tall employees ÷ total number of employees × 100

Percentage of the company’s employees are both female and over 6 feet tall = (0.0375x÷x)×100

Percentage of the company’s employees are both female and over 6 feet tall = 3.75%

Therefore, the percentage of the company’s employees are both female and over 6 feet tall is 3.75%

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find an equation of the line that satisfies the given conditions. through (4, 6), parallel to the x-axis

Answers

The equation of line passing through the point (4, 6) and parallel to x axis is y = 6.

According to the given question.

A line which is passes through the point (4, 6).

And also parallel to x-axis.

As we know that, the equation of line parallel to the x-axis, cuts the y-axis at the point (0, b) is y = b.

Since, the line is passing through the point (4, 6) and parallel to x-axis, cuts the y-axis at the point (0, 6).

As per the formula, the equation of line passing through the point (4, 6) and parallel to x axis is y = 6.

Hence, the equation of line passing through the point (4, 6) and parallel to x axis is y = 6.

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resent a combinatorial argument for this identity by considering a set of n people and determining, in two ways, the number of possible selections of a committee of any size and a chairperson for the committee.

Answers

The committee can be selected by combinatorial argument  in

[tex]\sum ^{n}_{k=1} k(^n_k).[/tex] ways.

A counting-based argument is known as a combinatorial argument or combinatorial proof. This line of reasoning has previously been used, for instance in the section on Stirling numbers of the second sort.

By initially selecting k individuals from our group of n, we can then choose one of those k individuals to serve as the committee's chairperson.

A number of methods for completing the first task, k methods for completing the second task, and so on. ways to create a k-member committee with a chairperson.

[tex]\sum ^{n}_{k=1} k(^n_k).[/tex] is the number of methods to construct a committee with a chairman of size less than or equal to n can be found by adding up over 1≤k≤n.

A committee of size less than or equal to n can also be formed with a chairperson by selecting the chairperson first, followed by the members of the committee. The chairperson can be chosen from among n options. The picker has two options for the remaining n-1 individuals: to include them or not. We therefore have n options for the chairperson, 2 options for the following, 2 options for the following, etc. These can be multiplied together to give us [tex]n2^{n-1}[/tex], which is a proof of the identity.

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how would you express b⃗ b→b vec using unit vectors? express your answers in terms of the unit vectors x^x^x unit and y^y^y unit . use the button under the menu in the answer box to create unit vectors.

Answers

The answer is expressed in terms of unit vectors  x^ and y^ as B = B (cos θ  x ^ + sin θ  y ^)

For expressing the magnetic field B in terms of vectors we need to know the magnitude of the magnetic field and the angle between them.

the angle we have is with respect to the positive side of the x-axis, let's use trigonometry.

cos θ = Bₓ / B

sin θ =  / B

Bx = B cosθ

By = B sinθ

hence the resulting vector is

 B = Bₓ i ^ + [tex]B_{y}[/tex] j^

The unit vectors are

x ^ = i ^

y ^ = j ^

The answer is expressed in terms of unit vectors  x^ and y^ as B = B (cos θ  x ^ + sin θ  y ^)

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For which domain would f(x) = x be discrete?


Select one:


a.

D = {1, 2, 3, ...}



b.

D={x|0

c.

D = {x|x≥2}



d.

D={all real numbers}

Answers

c

in an arithmetic expression

y5+7=17


Responses

y = 50
y = 50

y = 2
y = 2

y = 24
y = 24

y = 120

Answers

Answer:

y=2

Step-by-step explanation:

como se puede usar la multiplicacion por 1 para encontrar fracciones equivalentes

Answers

Answer:

pamachino ala iscola iyo kapito binisimo bambena ilina

Find the value of x.

Answers

Answer:that  a accute angle

Step-by-step explanation:

Figure 2 shows 4 strips of paper formed from cutting ABCD. Figure 1 below shows a piece of rectangular paper ABCD where AB= (3x - 1) cm and BC= The total perimeter of the 4 strips is 170 cm. D C (b) Hence show that ABCD is a square. 2x+5 B 3x-1 Figure 1 (a) Form an algebraic equation in x and solve it. D 2x 326-1 Figure 2 C 2x75 = (2x + 5) cm. B​

Answers

(a) 2(3x-1) + 8(2x+5) = 170

Solve for x.
6x-2+16x+40=170
22x= 170+2-40
22x =132
x = 132/22 = 6

(b) Length AB = 3x-1 = 3(6)-1 = 17cm
Length BC = 2x+5 = 2(6)+5 = 17cm

Since length AB and BC are equal, Figure ABCD is a square of length 17cm.

What is limit as x approaches zero of f(f(x)) closest to?
a. DNE
b. 1
c. 3
d. 5

note: I thought the answer was does not exist, but it ended up being wrong, please help and explain the answer!

Answers

Using limits and numeric value, we have that lim x -> 0 f(f(x)) is closest to:

c. 3.

What is f(f(x))?

f(f(x)) is a composite function, hence:

For x = a, first we calculate the numeric value at x = a.Then we calculate the numeric value at x = f(a).

What is a limit?

A limit is the value that a function f(x) tends as x tends to a value. It there are no undetermined values, we can just verify the numeric value from the graph, but with undetermined values, there are multiple things to look at.

For this function, looking at the graph, we have that:

f(0) = 2, as when x = 0, f(x) = 2.Thus, lim x -> 0 f(f(x)) = lim x - > 2 f(x), because f(0) = 2.Both to the left of x = 2 and to the right of x = 3, from the graph, f(x) approaches 3, hence lim x - > 2 f(x) = 3.

This means that option c is the closest approximation for the limit of the function.

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a tire shop had to fill 3 1/3 tires with.it took a small air compressor 31/4 seconds to fill them up. How long would take to fill 2 tires?

Answers

It would take 21 8/ 12 seconds to fill 2 tires

What is proportion?

Proportion can be defined as the comparison between two numbers or elements

It is also an equation with two ratios draw equal to each other.

From the information given,

If 31/ 3 tires (10/ 3 ) tires is filled in 3 1/4 seconds ( 13/ 4)

Then 2 tires = x seconds

cross multiply

x = 13 / 4 × 2 ÷ 10/ 3

x = 26/ 4 × 3/ 10

x = 260/ 12

x = 21 8/ 12 seconds

Thus, it would take 21 8/ 12 seconds to fill

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a very lucky gambler starts with one dollar and doubles her money on each bet she makes. how much money will she have after five bets?

Answers

$32 money will she have after five bets.

What  is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld .

starting amount = $1

she doubles her money on her each bet.

So, when she makes her first bet , her money doubles and keep doubling

on every bet of the previous amount .

Money she makes on her first bet =  2 * 1 = $2

Money she makes on her second bet =  2 * 2 = $4

money on third bet = 2 * 4 = $8

money on fourth bet =  2 * 8 = $16

money on fifth bet =  2 * 16 = $32

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14 points :) please explain thank you so much!

Answers

The domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1

What is the domain of a function?

The domain of the function is the set of input values of the graph

What is the range of a function?

The range of a function is the set of output values of the graph.

How to determine the domain and the range?

The graph represents the given parameters

On the graph, we have the following endpoints

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

The domain

The definition of the domain implies that the domain of a function is the set of x values of the graph.

Recall that

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the maximum

Closed circle at (-2, -1)

Open circle at (-5, -2)

Remove the y coordinates

So, we have

Closed circle at (-2)

Open circle at (-5)

Combine the x values

-2 ≤ x < -5

The range

The definition of the range implies that the range of a function is the set of y values of the graph.

Recall that

Closed circle at (-2, -1)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the smaller larger y value of the endpoints)

Open circle at (-5, -2)

Maximum = (0, 1)

Remove the x coordinates

So, we have

Open circle at (-2)

Maximum = (1)

Combine the y values

-2 < y < 1

Hence, the domain of the function is -2 ≤ x < -5 and the range is -2 < y < 1

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the length of a new rectangular playing field is yards longer than the width. if the perimeter of the rectangular playing field is ​yards, what are its​ dimensions?

Answers

The width is 53 yards and the length is 108 yards.

What is the perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter. There are several practical applications for calculating the perimeter.

To find the dimensions:

First, we'll turn the information we have into an equation, where x is our unknown dimension.For this problem, it would be preferable if x equaled width.Let's write the equation down:X is the width, 2x + 2 is the length, and we multiply both by two because the field has two sides. Because the perimeter is 322, it will all add up to 322.2 × x + 2(2x +2) = 322

Now, solve as follows:

2 × x + 2(2x + 2) = 3222x + 4x + 4 = 3226x + 4 = 3226x = 318x = 318 ÷ 6x = 53

The width measures 53 yards.

To calculate the length, multiply 53 by two and add two.

53 × 2 + 2 = 106 + 2 = 108 yards

Therefore, the width is 53 yards and the length is 108 yards.

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The correct question is given below:
The length of a new rectangular playing field is 2 yards longer then double the width. If the perimeter of the rectangular playing field is 322 yards, what are its dimensions?

Order the following numbers from least to greatest. Put the least number on the left. -3 37 7|3 3.​

Answers

The answer is -3, 7|3, 3, 37

How do I write -2=y into slope intercept form?

Answers

Answer:

(0,-2)?

Step-by-step explanation:

PLEASE HELP ILL MARK YOU BRAINLIST

Answers

the answer would be 2(4.75x)

EXPLANATION:
He is getting both his brother and sister truffles which the 2 represents.

The 1.75 is the cost per truffle
he gets them gift wrapped so you add the total of each costing truffle 1.75 + 3.00= 4.75

but doesn’t know the amount he will be getting which the X represents.

which gives you the equation of 2(4.75x)


FIRST PERSON GETS BRAINLIEST

A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y). Which is another way to write this rule?

(x, y) → (x + 4, y – 8)

(x, y) → (x – 4, y – 8)

(x, y) → (x – 8, y + 4)

(x, y) → (x + 8, y – 4)

Answers

Another way to write this rule is (x, y) = (x - 8, y + 4)

Which is another way to write this rule?

The translation rule is given as:

T–8, 4(x, y).

The above means that

x = x - 8

y = y + 4

Express as a transformation rule

So, we have

(x - 8, y + 4)

Rewrite as:

(x, y) = (x - 8, y + 4)

Hence, another way to write this rule is (x, y) = (x - 8, y + 4)

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The function f(x)=x^2 times the graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?

Answers

The function rule for g(x) is (x₊6)² ₋ 5. According to the given data we apply the translations onto the graph and from the graph we determine the function of g(x).

Given, the function of f(x)  = x²

The base graph is moved up or down in the y-axis direction when a graph is vertically translated. Each point on a graph is moved k units up the graph to translate it vertically. Shifting the f (x) k units vertically will allow you to sketch the equation g (x) = f (x) + k.

The graph of g(x) is f(x) translated to 6 units left and down 5 unit.

Draw the translations onto the graph. In the given graph provided, the yellow curve indicates the function g(x).

therefore g(x) = (x₊6)² ₋ 5 is the function from the graph.

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◄) Which lists contain only irrational
numbers? Select all that apply.
-11.8, -7.3, -9.7, -3, 61.4
√20
I
25
100
50,
21 3 1 2 1
22' 11' 9'
5' 17
I
35, 65 70
I
-
81,√36
I
144,
2/2,5/5,3/3, 6√6,7√7
(

Answers

Answer:

the 2 nd and 5 th box contain irrational number

Step-by-step explanation:

1 St and 3 Rd are clearly rational and 4 th can be converted into rational like root 25 is 5.

What’s the domain and range?

Answers

Answer:

Domain: x > -4

Range: y > -1

Step-by-step explanation:

Domain is the points on the x axis that could be vaild for that line.

Range is the points on the y axis that could be valid for that line.

The domain is: -4 < x < ∞
The range is: -4 < y < ∞

To find the domain, we need to look at the graph from a left-to-right standpoint (look at the x-axis). When doing so, the furthest point to the left we see is -4. Given that value, we put that as the first value. Then, we can put x since we’re looking at the x-axis. That would leave us with:

-4 < x < ?

Since there is an arrow on the farthest right side, we would put an infinity sign because it goes on forever. The same process is applied to the y-axis, and when doing so, we will get the same answer but with y.
Other Questions
(i) What happens to the magnitude of the magnetic field inside a long solenoid if the current is doubled? (a) It becomes four times larger. (b) It becomes twice as large. (c) It is unchanged. (d) It becomes one-half as large. (e) It becomes one-fourth as large. which is characterized as a drastic and long lasting decline in the economy with high unemployment, falling prices, and decreasing business activity? in 1949, a german court was asked to decide the following case: in 1944, a woman denounced her husband to the authorities for insulting remarks he had made about hitler while on leave from the army. while the wife was under no legal duty to report him, the husbands insulting remarks constituted a crime under the german code of 1871, which had remained in force during the nazi era. the husband was found guilty of violating the law and sentenced to death. despite this sentence, the husband was sentenced to the eastern front. following the war, he returned and instituted proceedings against his wife for illegally depriving him of his liberty. the wifes defense was that she had acted in accordance with the law and, therefore, had not committed any crime. the court convicted the wife of illegally depriving her husband of her liberty, which was a crime under the 1871 penal code because the nazi laws contrary to justice. Please help!What was Accent Egypt's government like. which processes does the central dogma rule out? group of answer choices making rna or dna from protein making protein directly from dna without an rna intermediate making rna from dna a and b b and c What Enlightenment idea is Thomas Paine mostsupporting?O Natural rights should be protected.O People need an authoritarian government.A government's power comes from the people.O People have a social contract with theirgovernment. Sally is running laps around a track. She runs 12 laps to warm up. Then she runs 13 laps.How many laps does Sally run in all? Move numbers to the boxes to show the answer. What type of pattern should be used when tightening lug nuts? What has to be done to nitrogen to make it turn into a liquid? Find the sum. 2 3/8 + 4 4/8 For a total accumulated amount of $3688.86, a principal of $2000, and a time period of 5 years, use the compound interest formula to find r, if interest is compoundedmonthly.r= Which of America's founding documents locates the new country geographically?a. the Constitutionb. the Articles of Confederationc. the Declaration of Independenced. the Treaty of Paris Find the equation the line with a slope of 2 and that passesthrough the point (1, 6).Enter your answer in slope-intercept form, y = mx + b solve pls brainliest I WILL GIVE BRAINLIEST!!! Please help me. Translate all word problems into equations. You only need to give equation+answer for number 7 and 9. 7. Between noon and midnight, the temperaturedropped 20F. If the temperature was -8F atmidnight, what was the temperature at noon?8. If a strawberry pie is divided into 6 equal slices, eachslice has 240 calories. How many calories are in thewhole pie?9. A chest was resting on the ocean floor 1000 ft belowthe surface. It was lifted to the deck of a ship 8 ftabove the surface. How far was the chest lifted?10. When all the kids who tried out for Little Leaguewere divided into teams of 20 players, there wereexactly 8 teams. How many kids tried out? How are postulates and theorems related? The word synonym of abecedario a____ is a series of ridges that move across a mediumA. particle B. waveC. tideD. current Please help Im struggling!! Which are examples of modern technologies that can spread culture more quickly than in the past? Check all that apply. cell phones satelites internet railroads jet planes