Determine whether the lines are parallel, perpendicular, or neither

X+7y = -3 and y= 7x + 25

Step-by-step explanation:

(A) squares are congruant .

(B) rectangle having equal length of same side is congruent.

(C)it is true because it have same side length are equal.

(D)it is true because same same side length are equal.

(E) it is truebecause same side length are equal.

The statements that are correct in the given question are: options A, B and C.

Quadrilaterals are figures or shape bounded by four straight sides. Thus each quadrilateral has its sum of interior angles to be \(360^{o}\). Examples include; rectangle, square, trapezium, rhombus, kite, parallelogram.

Considering the properties of each quadrilateral given in the question, it can be inferred that;

Therefore, the appropriate statements that are correct are: options A, B and C.

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Answer:

h = 24 cm

Step-by-step explanation:

Given:

C (base) = 60π cm

V (volume) = 21,600π cm^3

Find: h (height) - ?

\(c = 2\pi \times r\)

\(2\pi \times r = 60\pi\)

\(2r = 60\)

\(r = 30\)

We found the length of the radius

v = 1/3 × πr^2 × h

1/3 × π × 900 × h = 21600π

Multiply both sides by 3:

2700π × h = 64800π / : 2700π

h = 24 cm

Answer:

Your answer is going to be D

Step-by-step explanation:

Add 100° with 30° and subtract that sum from 180°.

Thus, total, we have 6 + 4 + 2 = 12 four-digit integers that  that are not multiples of 1111 do the digits form an arithmetic sequence.

Let's first understand the criteria for the four-digit integers:

1. They are not multiples of 1111.
2. Their digits form an arithmetic sequence.

Now, let's analyze the four-digit integers. We can represent them as ABCD, where A, B, C, and D are the individual digits. Since the digits form an arithmetic sequence, we can represent this sequence as A, A+d, A+2d, and A+3d. Here, "A" is the first digit, "d" is the common difference, and A ≠ 0.

Since A+3d is the last digit, it must be less than 10. So, A+3d < 10. Given that A ≥ 1, we can deduce that d can take the values 1, 2, or 3.

Now let's consider each value of "d":

1. If d = 1, A can range from 1 to 6. This results in 6 possible four-digit integers.
2. If d = 2, A can range from 1 to 4. This results in 4 possible four-digit integers.
3. If d = 3, A can range from 1 to 2. This results in 2 possible four-digit integers.

In total, we have 6 + 4 + 2 = 12 four-digit integers that meet the given criteria.

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Answer:

Step-by-step explanation:

Step one:

given that the orientation of the garden is a triangular shape(it has three sides)

the perimeter is given as=46ft

one side y=11ft

the second side z= 13ft

let the third side be xft

Step two:

the expression for the perimeter = z+y+x

46=11+13+x

46=24+x

solve for x

x=46-24

x=22ft

Therefore the third side is 22ft long

Answer:

the Riemann Sum for $f(x)=2x^2$ with four equal subintervals using right-hand endpoints as the sample points is $\frac{15}{2}$.

Step-by-step explanation:

To evaluate the Riemann Sum for the function $f(x)=2x^2$ with four equal subintervals using right-hand endpoints as the sample points, we first need to determine the width of each subinterval. Since we have four subintervals to cover the interval $[0, 2]$, each subinterval has a width of $\Delta x = \frac{2-0}{4} = \frac{1}{2}$.

Next, we need to choose a sample point from each subinterval to evaluate the function. Since we are using right-hand endpoints as the sample points, we choose the endpoint of each subinterval as the sample point. The four subintervals are:

$[0, \frac{1}{2}]$, with sample point $x_1 = \frac{1}{2}$

$[\frac{1}{2}, 1]$, with sample point $x_2 = 1$

$[1, \frac{3}{2}]$, with sample point $x_3 = \frac{3}{2}$

$[\frac{3}{2}, 2]$, with sample point $x_4 = 2$

The Riemann Sum is then given by:

∑i=14f(xi)Δx=f(x1)Δx+f(x2)Δx+f(x3)Δx+f(x4)Δx=2(12)2⋅12+2(1)2⋅12+2(32)2⋅12+2(2)2⋅12=12+2+92+4=152i=1∑4​f(xi​)Δx​=f(x1​)Δx+f(x2​)Δx+f(x3​)Δx+f(x4​)Δx=2(21​)2⋅21​+2(1)2⋅21​+2(23​)2⋅21​+2(2)2⋅21​=21​+2+29​+4=215​​

Therefore, the Riemann Sum for $f(x)=2x^2$ with four equal subintervals using right-hand endpoints as the sample points is $\frac{15}{2}$.

The Riemann Sum is 15/2 or 7.5.

To evaluate the Riemann Sum for the function f(x) = 2x^2 on the interval [0, 2] using 4 equal subintervals and right-hand endpoints, follow these steps:

1. Determine the width of each subinterval:
  Δx = (b - a) / n = (2 - 0) / 4 = 0.5

2. Identify the right-hand endpoints of each subinterval:
  x1 = 0.5, x2 = 1, x3 = 1.5, x4 = 2

3. Evaluate the function at each right-hand endpoint:
  f(x1) = 2(0.5)^2 = 0.5
  f(x2) = 2(1)^2 = 2
  f(x3) = 2(1.5)^2 = 4.5
  f(x4) = 2(2)^2 = 8

4. Calculate the Riemann Sum using these values:
  Riemann Sum = Δx * (f(x1) + f(x2) + f(x3) + f(x4))
  Riemann Sum = 0.5 * (0.5 + 2 + 4.5 + 8)
  Riemann Sum = 0.5 * (15)
  Riemann Sum = 7.5

The Riemann Sum for the given function using 4 equal subintervals and right-hand endpoints is 7.5, which is not among the provided options. However, the closest answer choice would be 15/2 or 7.5.

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Answer:

3/4

Step-by-step explanation:

Due it having a ratio of .75 instead of the .6875 of the other answers.

The maximum number of mail swaps that Bagelbot can perform between officials from A and officials from B can be 150 .

It can be determined by calculating the maximum number of edges possible for a bipartite graph between A and B. A bipartite graph is a graph in which the vertices can be divided into two disjoint sets such that every edge connects a vertex in one set to a vertex in the other set.

In this case, the officials from A and officials from B represent the two disjoint sets.

The maximum number of edges in a bipartite graph between A and B can be calculated as the product of the number of officials in A and the number of officials in B. Therefore, if there are n officials in A and m officials in B, the maximum number of mail swaps that Bagelbot can perform is n x m.

For example, if there are 10 officials in A and 15 officials in B, the maximum number of mail swaps that Bagelbot can perform is 10 x 15 = 150.

This means that Bagelbot can potentially redirect up to 150 pieces of mail between officials from A and officials from B.

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Oil changes is approximately 73,588.6 hours, assuming the truck is well-maintained and driven under normal conditions.

To calculate the predicted time before the first engine overhaul for the given truck, we can use the concept of engine life or engine durability, which is the expected life span of an engine before it needs to be overhauled or replaced.

The engine life of a truck depends on several factors, such as the manufacturer's specifications, maintenance practices, driving conditions, and load capacity.

Assuming that the truck is well-maintained and driven under normal conditions, we can estimate the engine life using the following steps:

Calculate the total number of hours the engine has been running per year:

Number of hours = (Miles per year) / (Average driving speed)

Number of hours = 64,000 miles / 53 mph = 1207.55 hours per year

Calculate the number of oil changes per year:

Number of oil changes per year = (Miles between oil changes) / (Miles per year)

Number of oil changes per year = 21,000 miles / 64,000 miles = 0.3281 oil changes per year

Calculate the average number of hours between oil changes:

Average hours between oil changes = (Number of hours per year) / (Number of oil changes per year)

Average hours between oil changes = 1207.55 hours / 0.3281 oil changes per year = 3679.43 hours per oil change

Estimate the engine life based on the load capacity and average hours between oil changes:

Engine life = (Load capacity in tons) * (Average hours between oil changes) / 1000

Engine life = 20 tons * 3679.43 hours per oil change / 1000 = 73,588.6 hours

Therefore, the predicted time before the first engine overhaul for the given truck driven 64,000 miles per year with an average load of 20 tons, an average driving speed of 53 mph, and 21,000 miles between oil changes is approximately 73,588.6 hours, assuming the truck is well-maintained and driven under normal conditions.

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P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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Answer:

Step-by-step explanation:

Inscribed angle is half the intercepted arc measure.

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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Option D, regional structure, does not represent a typical way in which firms organize their international activities.

Firms employ various organizational structures to manage their international activities effectively. Option A, domestic structure plus export department, refers to a structure where the firm operates primarily domestically but has a separate department dedicated to managing export activities. Option B, creating an international division organized along functional, product, or geographic lines, involves establishing a separate division within the firm that handles international operations based on different organizational principles. Option C, domestic structure plus foreign subsidiary, indicates a structure where the firm operates domestically but also establishes subsidiaries in foreign markets. These subsidiaries operate independently but are controlled by the parent company.

Option D, regional structure, is not a typical way firms organize their international activities. A regional structure refers to organizing international operations based on geographical regions, such as having separate divisions or units for different regions of the world. While regional structures may be employed in specific cases, they are not as common as the other options mentioned.

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The solution of u in the equation where u is a real number is -10.

In the number system, real numbers are only the fusion of rational and irrational numbers. These numbers can generally be used for all arithmetic operations and can also be expressed on a number line. Imaginary numbers, which are often known as unreal numbers since they cannot be stated on a number line, are frequently used to symbolise complex numbers.

Given that u is a real number and the value of \(u^3 = -1000\).

Take cube root on both sides of the equation:

\(\sqrt[3]{u^3} = \sqrt[3]{-1000} \\\\u = \sqrt[3]{(-10)(-10)(-10)} \\\\u = -10\)

Hence, the value of u is -10.

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In the box plot, most of the data is clustered around 75 - 78 (option A).

A box plot is used to study the distribution and level of a set of numbers. The box plot has two whiskers and a box. The two whiskers represent the minimum value and the maximum value.

The first line on the box is the lower quartile. The next line on the box represents the median. The third line on the box represents the upper quartile. Majority of the data would lie between the first quartile and the third quartile.

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Answer:

55/7 in simplest form is 7 6/7

[ 18  5  2  ] is  the sum of a vector .

What, in the simplest terms, is a vector?

A quantity or phenomena with both magnitude and direction being independent of one another is called a vector.

                           The phrase also describes how such a quantity is represented mathematically or geometrically.

                                  Velocity, momentum, force, electromagnetic fields, and weight are some natural examples of vectors.

Since u₁ , u₂ = 0

So, u₁, u₂ is an orthogonal set is W .

Since orthogonal  vector are linearly independent , it follows that { u₁, u₂} is linearly independent set .

 \(\frac{u_{1} . y}{u_{1} u_{1} } u_{1} + \frac{u_{2}. y }{u_{2}u_{2} } u_{2}\)

\(\frac{19 + 0 - 3}{1 + 0 + 1} [ 1 0 -1 ] + \frac{38 + 1 + 6}{4 + 1 + 4} [ 2 1 2 ]\)

 = 16/2 [ 1 0 1 ]  + 45/9  [ 2 1 2 ]

  = 8 [ 1 0  - 1 ] + 5 [ 2  1   2  ]

  = [ 18  5  2  ]

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Answer:

5/6

Step-by-step explanation:

The slope of a perpendicular line is the negative reciprocal of the other.

Given: m = -6/5

Negative: m = 6/5

Reciprocal: m = 5/6

Answer:

-11

Step-by-step explanation:

You need to find the difference in y-coordinates and divide that difference into a 7:3 ratio. Then you add that to the y-coordinate of point J.

Difference in y:

-20 - 10 = -30

7 + 3 = 10

7/10 * (-30) = -21

Add -21 to 10:

10 + (-21) = -11

The y-coordinate is -11.

x = 20

ask if you need any more help :P

Steps

==> 4x-5+15=90

==>4x+10=90

==> subtract 10 each side 4x=80

===> divide 4 each side. 4 divided by 80 is 20!

==> answer : x= 20

The value of x is 8.4, y is 2.9 and q is 14.5.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square.

In the given rhombus XYZW, XY=15, ∠XYZ=38°

We know that, opposite angles of rhombus are equal

So, ∠XYZ=∠XWZ=38°

Now, ∠XYZ+∠XWZ+∠WXY+∠WZY=360°

38°+38°+2∠WXY=360°

2∠WXY=360°-76°

∠WXY=142°

a) QW=3x-11

By considering ΔWQX

sin71°=QW/15

0.9455=QW/15

QW=14.1825≈14.2

Now, QW=3x-11=14.2

3x=25.2

x=8.4

b) XZ=9y-16

sin19°=XQ/15

0.3256=XQ/15

XQ=4.884≈5

XZ=2XQ=10

XZ=9y-16=10

9y=26

y=26/9

y=2.9

c) ∠WZY=11q-17

11q-17=142

11q=159

q=159/11

q=14.5

Therefore, the value of x is 8.4, y is 2.9 and q is 14.5.

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Answer:

In Celsius the degree is 50°

Step-by-step explanation:

Put the 122° into the equation given.

The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

Let the unknown number be "x"

If the resulting expression is 18, this will be expressed as 4x² - 7 = 18

Solving the resulting expression

\(4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}\)

Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

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Answer:

Hello!!

When you solve an equation, you must do the same thing to both sides of the equal sign.

\(\frac{x}{3} =5\)

Enter the number that belongs in the green box

\(3\) × \(\frac{x}{3} =5\) × \([?]\)

The number which belongs in the green box is \(3\)

Hope this helps!!

Answer:

I think the distance between the two points is 13.

Hope that helps. x and goodluck.

Answer & Step-by-step explanation:

\(Circumference=d\pi\)

The diameter of the circle is 24 mm. So, let's add in the diameter and find the circumference of the circle.

\(Circumference=(24)\pi\)

We will use 3.14 for pi.

\(Circumference=75.36\)

So, the circumference of the circle is 75.36 mm.

Answer:

8 months

Step-by-step explanation:

You: $20 + 15.50 per month     I       Your friend: $88 + 7

First month: 35.50                     I        First month: 95.00

Second month: 51.00                I        Second month: 102.00

Third month: 66.50                   I        Third month: 109.00

Fourth month: 82.00                I         Fourth month: 116.00

Fifth month: 97.50                    I         Fifth month: 123.00

Sixth month: 113.00                  I        Sixth month: 130.00

Seventh month: 128.50           I        Seventh month: 137.00

Eighth month: 114.00             I         Eighth month: 114.00

Answer:

who is that? Maybe i know this person...

Step-by-step explanation:

Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

Answer:

If two figures have the same size and shape, then they are congruent. so if they have the same shape and size even if they are flipped or mirrored they are congruent.

Step-by-step explanation:

The term congruent is often used to describe figures like this, the pictire below. if you look up congruent shapes and look at many examples that will definitely help you understand alot more better what congruent means.