Which of the following quadrilaterals always have diagonals thats are congruent? check all that apply

Parallelogram
Rectangles
Rhombi
Squares
Isosceles trapezoid

Using sigma notation, the given series can be written as ∑(n=1 to ∞) [((2n-1)/(2n+1)) + (1/2)]

Hi! To express the given infinite series using sigma notation, observe the pattern in the numerators and denominators of each fraction:

1/3, 1/2, 3/5, 5/7, ...

Numerators: 1, 1, 3, 5, ...
Denominators: 3, 2, 5, 7, ...

The numerators follow the pattern: 1, 1, 1+2, 3+2, ...
The denominators follow the pattern of consecutive odd numbers: 1+2, 1, 3, 5, ...

With these patterns, you can write the series using sigma notation:

Σ[(n % 2 == 1 ? n : 1) / (2n + 1)]

Here, the % symbol represents the modulo operation, and n starts from 0 and goes to infinity. This expression captures the patterns observed in the numerators and denominators of the series.

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Answer:

a

Step-by-step explanation:

the answer is a because adding -3 to 12 will make 9 and -3 × 12 is -36.

Aw that's really nice of you thanks

thank you <3 appreciate it loads

Answer:

Wow really??? I never would thought

Step-by-step explanation:

Answer:

With just a 15 minute call my guy

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

a. H 1, H2 ,H3  T1 ,T2, H3

b  6 possible outcomes

c 2 outcomes for the coin ( h,T) 3 outcomes for the spinner

2*3 = 6

Answer:

it lies on 4 faces hope it helps

Answer:

The answer is four.

Step-by-step explanation:

Answer:

1437.33

Step-by-step explanation:

Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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There are 5 11 pointer questions and 15 3 pointer questions

We are given that total points of the test is 100

The test contains questions of two markings 3 points and 11 points

It is given that the total number of questions is 20

Let the number of three pointer questions be 'x' and the number of 11 pointer questions be 'y'

Thus total number of questions=x + y =20

Now the total sum of all the points comes to 100

Therefore,

3x+11y =100

x + y =20

x= 20-y

Now putting the value of x in the other question,

3(20-y) +11y =100

60-3y +11y=100

8y=100-60

8y=40

y=5

Thus x=20-y=20-5=15

Thus there are 5 11 pointer questions and 15 3 pointer questions

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Answer:

Slope: (y2-y1)/(x2-x1)

(4+2)/(-16-5) = 6/-21 = -2/7

Y = -2/7x + b

5 = -2/7(-2) + b, b = 31/7

Equation: y = -2/7x + 31/7

Step-by-step explanation:

Answer: 96%

Step-by-step explanation:

Morgan's average grade was 92% after the third test.

Lets say all the tests were out of 100 to help you understand.

We can say that she got 92 out of 100 on all three tests.

Her total point would be 92 * 3 which would be 276, out of 300 points available.

Now she takes her fourth test and she wants an average of 93

Out of 100, if she gets a score of X, her total point after the fourth test would be 276 + X out of 400 points available.

so the percentage of 276 + X / 400 should be 93%.

( 276 + X / 400 ) * 100% = 93%

multiply 400 on each side,

( 276 + X ) * 100 % = 93 * 400 %

now divide each side by 100

276 + X = 93 * 4

93 * 4 = 372

Subtract each side by 276

X = 96

So she needs to get a 96 out of 100 or higher, which is 96%.

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

it should be 5

Step-by-step explanation:

-4 to 1 is 5, 1 to 6 is 5 so yea.

                                       ❊❊                  HI                  ❊❊

                                            THE SLOPE WILL BE 5

  ⎧  ⁍ . ⁍ ⎫

  ⎟  >    >⎟

  ⎝          ⎠

        ⎝⎠

Multiply total serves by percentage:

120 x 0.45 = 54

Answer: 54

Answer:

54 Im sure of it. I revised this question by wacthing a video.

Step-by-step explanation:

Answer:

x+2y+z+80=360°

Step-by-step explanation:

the sum of the interior angles in a quadrilateral is 360°, so the answer is: x+2y+z+80=360°

Answer:

Option 4 - x+2y+z+80=360degrees is the correct answer.

Step-by-step explanation:

As given in the figure, it is a quadrilateral, and as all the angles in this quadrilateral are interior angles, the sum of the interior angles of a quadrilateral will be 360 degrees.

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The straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.

To find the straight-line distance from the wilderness area to the Morrisons' campsite, we can use the Pythagorean theorem.

Let's consider the campsite as the origin (0, 0) on a coordinate plane. The wilderness area is located 3 miles due north and 4 miles due east from the campsite. Therefore, its coordinates are (4, 3).

Using the Pythagorean theorem, the straight-line distance d is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates of the campsite (0, 0) and the wilderness area (4, 3) into the formula, we get:

d = √((4 - 0)² + (3 - 0)²)

= √(4² + 3²)

= √(16 + 9)

= √25

= 5

Therefore, the straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.

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The length of RT is 12 units.

What is length?

Distance is measured by length. Length is a quantity having the dimension distance in the International System of Quantities. Most measuring systems use a base unit for length from which all other units are derived. The metre is the basic unit of length in the International System of Units (SI). The greatest extended dimension of a stationary item is typically believed to be its length. This is not always the case, as it may depend on the location of the item. When there is a basis from which vertical measurements may be made, height is employed. When length is the greatest dimension, width or breadth generally relate to a lesser dimension.

given, RS+ST=RT

or, 9 + x - 1 = 3x

or, 8 + x = 3x

or, 3x - x = 8

or, 2x = 8

or, x = 8/2

or, x=4

Then, the length of RT = 3x = 3.4 = 12 units

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An equation for the total cost is TC = 1500 + 5x

In this question, a canteen has fixed cost of $1500 per week.

A meal costs $5 each are sold at a fixed price of $9 each.

We need to write the equation for the total cost.

Let x be the number of individuals.

Let TC represents the total cost.

So, an equation for the total cost would be,

TC = 1500 + 5x

Therefore, an equation for the total cost is TC = 1500 + 5x

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Answer:

9, -8, 15

Step-by-step explanation:

Equation 1

\(5(x+7)-3(x-4)=7x+2 \\ \\ 5x+35-3x+12=7x+2 \\ \\ 2x+47=7x+2 \\ \\ 47=5x+2 \\ \\ 45=5x \\ \\ x=9\)

Equation 2

\(4(3x+5)-3=9x-7 \\ \\ 12x+20-3=9x-7 \\ \\ 12x+17=9x-7 \\ \\ 3x+17=-7 \\ \\ 3x=-24 \\ \\ x=-8\)

Equation 3

\(\frac{1}{3}(5x-9)=2\left(\frac{1}{3}x+6 \right) \\ \\ 5x-9=2(x+18) \\ \\ 5x-9=2x+36 \\ \\ 3x-9=36 \\ \\ 3x=45 \\ \\ x=15\)

The event that most contributed to the changing troop levels shown in the graph is when Communist troops launched a series of attacks during the Tet Offensive.

The Communist troops launched a series of attacks during the Tet Offensive to try to undermine American and South Vietnamese morale, cause a general uprising and seize control of the cities in South Vietnam.

However, this didn't go as planned, since the Communist troops suffered devastating losses on the battlefield.

The Tet Offensive, which was one of the most important turning points in the Vietnam War, led to changes in troop levels that are shown on the graph.

The Tet Offensive significantly increased troop levels because American forces had to respond with more soldiers and resources to defend against the attacks.

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The event which most contributed to the changing troop levels shown in the graph was the Communist troops launching a series of attacks during the Tet Offensive.

The Tet Offensive was a series of attacks on the cities and towns of South Vietnam by the People's Army of Vietnam (PAVN) (also known as the North Vietnamese Army or NVA) and the National Liberation Front of South Vietnam (NLF), commonly known as the Viet Cong.

The Tet Offensive began in the early hours of 30th January 1968, during the Vietnam War. This event had a significant impact on public opinion and led to the escalation of the war.The graph in question, which depicts the troop levels, demonstrates that there was a considerable rise in US troop numbers during the years leading up to the Tet Offensive.

Following this event, troop numbers rose even higher before declining in the years that followed.

Therefore, the Communist troops launching a series of attacks during the Tet Offensive contributed most to the changing troop levels shown in the graph.

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so the zeros of the function are 1 and -3/2. So the answer is option A

No, Sarah's claim that the vertex of the function\(f(x) = (x + 2)^2\) is (2, 6) is incorrect. The correct vertex of the function f(x) = (x + 2)² is (-2, 0)

Comparing the given function \(f(x) = (x + 2)^2\) with the general form, we can see that the function has a transformation of shifting 2 units to the left (h = -2) and no vertical shift (k = 0). Therefore, we expect the vertex to be at the point (-2, 0).

To find the vertex explicitly, we can set the derivative of the function equal to zero and solve for x. The derivative of\(f(x) = (x + 2)^2\) is\(f'(x) = 2(x + 2).\)Setting f'(x) = 0, we find x = -2. Plugging this value into the original function, we get f(-2) = (0)² = 0. So, the vertex is indeed located at (-2, 0).

In conclusion, the correct vertex of the function \(f(x) = (x + 2)^2\) is (-2, 0), not (2, 6). Sarah's claim is incorrect, likely due to a misunderstanding of the vertex form of the quadratic function.

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Answer:

Step-by-step explanation:

\(\angle 2,\angle AEG, \angle GEB\)

The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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Answer:

The newspaper has 240000 readers

Step-by-step explanation:

Solution: Given that, Local newspaper has letters to the editor from 60,000 people This number represents 25% of all of the newspaper's readers To find: Number of newspaper readers Let "x" be the number of all newspaper readers From given statement, 60,000 people = 25% of all of the newspaper's readers 60, 000 = 25 % of x Solve the above expression for "x" 25 % of x = 60000 Thus the newspaper has 240000 readers

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Answer:

750 readers

Step-by-step explanation:

Let the total no.of reader be x

A/Q

--> 8% of x = 60

--> 8/100 * x = 60

--> x= 60*100/8

--> x= 750

The newspaper has a total of 750 readers.

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A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. The correct option is A.

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the two given polynomial can be done as,

(3x² - 5x + 2) + (5x² - 2x - 6)

= 3x² - 5x + 2 + 5x² - 2x - 6

= 3x²+5x² -5x -2x -6 +2

= 8x² - 7x - 4

Hence, the correct option is A.

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Answer:

The median is the best measure of center, and it equals 3.5.

Step-by-step explanation:

It’s asking for the center or median rather than average or mean. Count how many dots in total, split in half, and find the center number.

Answer:

The median is the best measure of center, and it equals 3.

Hope this helps!

Step-by-step explanation:

1 , 1 , 2 , 2 , 2 , 3 , 3 , (3) , 3 , 4 , 4 , 5 , 5 , 5 , 10

The number in the middle is 3.

Answer:

ST = 23

RU = 8

SV = 5

SV = 10

Step-by-step explanation:

Use the knowledge of the properties of a kite to find the measure of ST, RU, SV, and SU as shown below:

✍️Recall: Each pair of adjacent sides of a kite are congruent/equal.

ST and TU are a pair of adjacent sides.

TU = 23

✅Therefore, ST = 23.

RU and RS are a pair of adjacent sides.

RS = 8

✅Therefore, RU = 8.

✍️ Recall: the longer diagonal of a kite bisects the shorter one. This means RT divides SU into two equal parts, namely SV and UV.

Since UV = 5, therefore,

✅SV = 5

SU = UV + SV

✅SV = 5 + 5 = 10

A bisector divides the lines it bisects into equal segments

The measures of ST, RU, SV, SU are 23, 8, 10 and 5 respectively

From the diagram, we have:

\(\mathbf{TU = 23}\)

\(\mathbf{UV = 5}\)

\(\mathbf{RS = 8}\)

Because RT bisects SU, then:

\(\mathbf{ST = TU}\)

So, we have:

\(\mathbf{ST = 23}\)

Also, we have:

\(\mathbf{RU = RS}\)

So, we have:

\(\mathbf{RU = 8}\)

Also, we have:

\(\mathbf{SV =VU \times 2}\)

\(\mathbf{SV =5 \times 2}\)

\(\mathbf{SV =10}\)

Lastly, we have:

\(\mathbf{SU =VU}\)

\(\mathbf{SU =5}\)

Hence, the measures of ST, RU, SV, SU are 23, 8, 10 and 5 respectively

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The discount is 75% off the original price of $185.

To find the amount of the discount, we can multiply the original price by 0.75:

$185 x 0.75 = $138.75

Therefore, the dress has been discounted by $138.75.

To find the sales price, we can subtract the discount from the original price:

$185 - $138.75 = $46.25

Therefore, the sale price of the dress is $46.25.