∠A and \angle B∠B are vertical angles. If m\angle A=(5x+1)^{\circ}∠A=(5x+1) ∘ and m\angle B=(4x+3)^{\circ}∠B=(4x+3) ∘ , then find the value of x.


HELP

The length of the rectangle, l = 170 m

Given,

Perimeter of the rectangle, p = 660 m

Width of the rectangle, w = 160 m

Here the formula for perimeter of the rectangle is,

Perimeter of the rectangle, p = 2l + 2w

Therefore,

Perimeter of the rectangle, p = 2l + 2w

                 660 = 2l + 2 x 160

                 660 = 2l + 320

                 2l = 660 – 320

                 2l = 340

                  l = 340 / 2

                  l = 170

That is, the length of the rectangle, l = 170 m

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The question is incomplete. Completed question is given below.

Using the formula for perimeter 2l + 2w = p. Find the length l of the rectangle. Given the perimeter p = 660m and width w = 160 m

Rotating an image 90 degrees counterclockwise means turning the image so that it appears to be facing to the left. This can be done using various software programs, including image editors like Adobe Photoshop or online tools like PicMonkey.

In Adobe Photoshop, you can rotate an image 90 degrees counterclockwise by selecting the "Transform" option from the "Edit" menu. This will bring up a bounding box around the image, and you can then use the "Rotate" tool to turn the image counterclockwise.

If you are using an online tool, the process is similar. Simply upload the image you want to rotate, select the "Rotate" tool, and then choose the "90 degrees counterclockwise" option.

In conclusion, rotating an image 90 degrees counterclockwise is a straightforward process that can be done using various software programs and online tools. Whether you are editing photos for personal use or for a school project, understanding image manipulation is an important skill to have.

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Answer:

22.5

Step-by-step explanation:

well, clearly is 4 :).

now, if we take 25 to be the 100%, what is 4 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16\)

The point on the line y = 5x + 2 that is closest to the origin is approximately (0.3448, 1.7931), which is (x, y) when x = 10/29 and y = 52/29.

The equation of the line is y = 5x + 2, and the point on the line closest to the origin is (x, y).

To find the distance from the origin to the point (x, y), use the distance formula:

d = √(x² + y²)

To minimize the distance, we can minimize the square of the distance:

d² = x² + y²

Now, we need to use calculus to find the minimum value of d² subject to the constraint that the point (x, y) lies on the line y = 5x + 2.

This is a constrained optimization problem. Using Lagrange multipliers, we can set up the following system of equations:

2x = λ

5x + 2 = λ5

Solving this system, we get:

x = 10/29, y = 52/29

So, the point on the line y = 5x + 2 that is closest to the origin is approximately (0.3448, 1.7931), which is (x, y) when x = 10/29 and y = 52/29.

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Answer:

a) P(t) = 5/6t + 20

b) 34.2 beetles

c) After 78 weeks.

Step-by-step explanation:

a) A general linear growth model can be expressed as P(t) = at + b, where P is the number of beetles in time t and t is the time in weeks.

It is known that:

P(0) = 20

P(6) = 25

These values can be substituted in the general equation to find a and b:

P(t) = at + b

P(0) = 20:

20 = a*0 + b

20 = 0 + b

20 = b

So,

P(t) = at + 20

Using P(6) = 25:

25 = a*6 + 20

25 - 20 = a*6

5 = a*6

5/6 = a

So, the linear growth model can the represented as:

P(t) = 5/6t + 20

b)

The number of beetles after 17 weeks is P(17):

P(17) = 5/6*17 + 20

P(17) = 14.1 + 20

P(17) = 34.2

34.2 beetles.

c)

P(t) = 85

85 = 5/6t + 20

85 - 20 = 5/6t

65 = 5/6t

t = 65*6/5

t = 78

After 78 weeks.

Answer: 72%

Step-by-step explanation:

ok

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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A ray consists of a line and a point A on it. A is called the initial point of the ray, being this the origin of the ray. The answer is 'initial point'

Answer:

Perpendicular

Step-by-step explanation:

If a person drove for an hour and a half today, the number of miles that you are from home is 90 miles

It should be noted that highway driving is usually averaged at a speed of 60 miles per hour.

It should be noted that the speed of an item is a scalar quantity that is commonly used to describe how much its position changes over time or how much it changes per unit of time in kinematics.

Based on the information, it was illustrated that the person drives due about one and half hours. It should be noted that the distance will be:

Distance = Speed × Time

Distance = 60 × 1.5

Distance = 90 miles

The definition of speed is the pace at which a distance changes over time. Therefore, when a person drove for an hour and a half today, the number of miles that you are from home is 90 miles.

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Arithmetic overflow error converting numeric to data type numeric can be solved by increasing the precision and the scale, storing number in different data type or use user-defined datatype.

An "arithmetic overflow error converting numeric to data type numeric" error occurs when you try to store a number in a numeric column that is too large to be represented by the specified precision and scale. To resolve this error, you have a few options:

Increase the precision and scale of the numeric column, you can increase the precision and scale of the numeric column so that it can store larger numbers.

If you don't need the precision and scale of a numeric column, you can store the number in a different data type, such as float or big int.

 If the number is too large to be represented in the numeric column, you can round it to a smaller value before inserting it into the database.

 If the number is still too large to be represented in a numeric column or a different data type, you can create a custom data type in SQL Server to store the number.

It's important to choose the right solution based on your requirements and the specific use case. You may also need to consider the performance implications of each solution, especially if the data being stored is very large or complex.

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A domain of the situation is given by:

The factory is operational for at most 12 hours a day.

Answer:

The true statements are;

The area of each block is 0.0675 mi²

The population density of the town is 10,000 people/mi².

Area of each city block = 0.45 miles × 0.15 miles

= 0.0675 mi²

Number of city block = 30

Total area of the city = 0.0675 mi² × 30

= 2.025 mi²

Population density = Total number of people / Total land area

= 20,250 / 2.025

= 9901.234567901234

Approximately,

10,000 people per square miles

Therefore, the population density of the city is 10,000 people per square miles.

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Hey there! I'm happy to help!

NUMBER 1

This is a trick to solve any proportion.

Multiply the diagonal numbers.

5(16)=80

Divide by the number that isn't the one you want to find.

90/8=10

And you are left with the number you haven't touched. We haven't touched x, so x=10.

NUMBER 2

Cross multiply.

45(-50)=-2250

Divide.

-2250/3=-750

So x=-750.

QUESTION 3

4(27)=108

108/12=9

So x+3=9, subtract 3 from both sides x=6.

Have a wonderful day! :D

Using the probability formula the value for the largest piece is obtained as 3/4.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Let X be the length of the largest piece when a unit stick is broken into three random pieces.

We want to find E(X), the expected value of X.

To solve for E(X), we can use the law of total probability and consider all possible lengths for the first cut.

Let Y be the length of the first piece, which can take any value between 0 and 1.

Then, we can write -

E(X) = ∫[0,1] E(X|Y=y) fY(y) dy,

where fY(y) is the probability density function of Y and E(X|Y=y) is the expected value of X given that the first piece has length y.

Now, let's consider the possible cases for the lengths of the other two pieces -

If the second cut is made in the interval [0,Y], then the largest piece has length Y.

If the second cut is made in the interval [Y,1-Y], then the largest piece has length 1-Y.

If the second cut is made in the interval [1-Y,1], then the largest piece has length Y.

Therefore, we can write -

E(X|Y = y)

= y × 1 + (1 - y) × 1/2 + (1 - y)×1  

= 1/2 + y/2.

Substituting this into the previous formula and using the fact that the density function for a uniform distribution on [0,1] is fY(y) = 1 for 0 ≤ y ≤ 1, we get -

E(X) = ∫[0,1] (1/2 + y/2) dy

= [y^2/4 + y/2] from 0 to 1

= 3/4.

Therefore, the expected length of the largest piece is 3/4.

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The roots of the equation will be imaginary. Then the number of real solutions will be zero.

The discriminant represents the types of the root. And the discriminant (D) of the equation ax² + bx + c = 0 is given as

D = b² - 4ac

The type of roots will be given below.

The equation is given below.

x² + 4x + 5 = 0

The discriminant of the given equation will be

D = 4² - 4 x 1 x 5

D = 16 - 20

D = - 4

D < 0

The roots of the equation will be imaginary. Then the number of real solutions will be zero.

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Answer:

$9.50

Step-by-step explanation:

If there are 8 tickets and they all add up to $76, you have to divide 76 by 8 (the number of tickets)

Answer:

\(\frac{11}{2}\)

Step-by-step explanation:

To obtain the inverse of f(x)

let y = f(x) and rearrange making x the subject, that is

y = 2x - 1 ( add 1 to both sides )

y + 1 = 2x ( divide both sides by 2 )

\(\frac{y+1}{2}\) = x

Change y back into terms of x with x = \(f^{-1}\)(x) , thus

\(f^{-1}\)(x) = \(\frac{x+1}{2}\)

Evaluate g(3) and substitute the value obtained into \(f^{-1}\)(x)

g(3) = 3² + 1 = 9 + 1 = 10, then

\(f^{-1}\) (10) = \(\frac{10+1}{2}\) = \(\frac{11}{2}\)

Answer:

1/30

Step-by-step explanation:

The temperature of the steam is 441.7 K.

A 1-m³ tank contains 2.1085 kg of steam at 0.6 MPa.

The gas constant, critical pressure, and critical temperature of steam are

R = 0.4615 kPa.m³/kg.K,

TCr = 647.1 K, and

PCr = 22.06 MPa.

Using data from the steam tables, let's find the temperature of the steam.

According to the steam table, the specific volume of the steam is 0.194 m³/kg at 0.6 MPa and 393.71 K. Since 1 m³ tank contains 2.1085 kg of steam, the total volume of steam is:

V = m/v

= (2.1085 kg)/(0.194 m³/kg)

= 10.8665 m³

The ideal gas equation of state is:

Pv = mRTor

T = PV/mR

Substituting the values we get:

T = (0.6 MPa)(10.8665 m³)/(2.1085 kg)(0.4615 kPa.m³/kg.K)

T = 441.7 K

Therefore, the temperature of the steam is 441.7 K.

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the probability that she picks 2 different types of drink is 71 / 105

let say E is an event then ,P(E) = favourable outcome /total outcome

given that ,

3 bottles of orange juice.

5 bottles of apple juice.

7 bottles of water.

Then  total of 3 + 5 + 7 = 15 bottles of drinks .

To calculate the probability of picking 2 different types of drinks, we need to calculate the total number of possible pairs of drinks that can be picked, and the number of pairs that consist of different types of drinks.

so,

The total number of possible pairs of drinks that can be picked is given by the combination formula:

C(15, 2) = 15! / (2! * (15-2)!) = 105

This formula calculates the number of ways to choose 2 items from a set of 15 items.

Now, the number of pairs that consist of different types of drinks. There are three types of pairs : orange juice and apple juice, orange juice and water, and apple juice and water.

The number of pairs of different types of drinks :

(3 * 5) + (3 * 7) + (5 * 7) = 15 + 21 + 35 = 71

So, the probability of picking 2 different types of drinks is:

71 / 105 ≈ 0.6762 or about 67.62%.

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Answer:

Step-by-step explanation:

P = efe =4.8

f =0.26

substitute the value of P and f into the equation to obtain the value of e

4.8 = e*0.26*e

4.8 = 0.26*e^2

make e^2 the subject of the formula

e^2 =4.8/0.26 =18.62

find the square root of e

e =\(\sqrt{x} 18.46\\\)

e = 4.3

Lower bound of P = 4.8 - 4.79 = 0.01

Answer:

x=141

Step-by-step explanation:

The measure of all the angles in a septagon (7 sided shape) add up to 900°. The current sum of the known angles 131°+122°+125°+148°+107°+126°=759°.

900° total sum minus known sum 759° equals 141°.

Answer:

The answer is 2.

Step-by-step explanation:

3 - 2 = 1

7 - 5 = 2

2 x 1 = 2

The statement, if function, (x,y) = f(x) ·f(y) for all (x,y) such that f(x,y) > 0, then x ⊥⊥y is true.

By definition, two random variables x and y are said to be independent (denoted as x ⊥⊥ y) if the joint probability distribution function f(x, y) can be expressed as the product of the marginal probability distribution functions f(x) and f(y) for all values of x and y.

In this case, if we have f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, it implies that the joint probability distribution function can be factorized into the product of the marginal probability distribution functions. Therefore, x and y are independent, and we can conclude that x ⊥⊥ y.

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Answer:

The answer is A

Step-by-step explanation:

since JHG = 65, then the other two angles added together = 65. Therefore, I can just add what the two smaller angles are to equal 65. Solve for x, then plug x into one of the equations! JHI = 19, and GHI = 46