i need help with this

I Need Help With This

Answers

Answer 1

The measure of ∠V of the parallelogram is = 150.5°

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the measure of the angle ∠Y = 10x + 27

Let the measure of the angle ∠W = 2x + 29

Now , for a parallelogram the opposite sides are congruent and opposite angles are congruent

Substituting the values in the equation , we get

10x + 27 = 2x + 29

Subtracting 2x on both sides of the equation , we get

8x + 27 = 29

Subtracting 27 on both sides of the equation , we get

8x = 2

Divide by 8 on both sides of the equation , we get

x = 1/4

Let the measure of the angle ∠Y = 10 ( 1/4 ) + 27

Let the measure of the angle ∠Y = 2.5 + 27

Let the measure of the angle ∠Y = 29.5°

Now , same-side interior angles (consecutive angles) are supplementary

Substituting the values in the equation , we get

angle ∠Y + angle ∠V = 180°

29.5° + m∠V = 180°

Subtracting 29.5 on both sides of the equation , we get

m∠V = 150.5°

Hence , the measure of m∠V = 150.5°

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Related Questions

which equation goes through the point (5,-4) and is parallel to y=2/3x-5

A. Y - 5 = 1/3x - 6
B. Y = -2/3x + 8
C. Y + 4 = -3/2x (x - 5)
D. Y + 4 = 2/3 (x - 5)

Answers

Answer: D , Y + 4 = 2/3 (x-5)

Step-by-step explanation: Since the equation has to be parallel, both equations need to have the same slope; in this case it is 2/3. Then, you can plug in the point into the equations to ascertain if it’s a true statement or a false statement.

How do you divide 3 digit numbers by 3 digit numbers?.

Answers

The steps for dividing the 3 digit numbers by 3 digit numbers is solved with the help of multiplication and subtraction.

The process of division is defined as  the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Here we need to find the way to divide 3 digit numbers by 3 digit numbers.

The steps to solve the given division is written as,

The first steps is to take the first digit of the dividend from the left and then we have to  check if this digit is greater than or equal to the divisor.

Now then we have to divide it by the divisor and write the answer on top as the quotient.

Then we have to do the subtract operation the result from the digit and write the difference below.

Then the final steps is to bring down the next digit of the dividend and this process is repeated until we get the remainder as zero.

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What coordinate do we plot first on the coordinate plane?.

Answers

Always insert the x-coordinate first before the y-coordinate.

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more integers, or coordinates. The spherical, cylindrical, and cartesian coordinate systems are the three most used ones. Both a cylinder-based coordinate system and a cartesian one will be examined in this chapter. Both horizontal and vertical coordinate systems are used to describe data. Vertical coordinate systems find data's relative height or depth, whereas horizontal coordinate systems locate data over the surface of the globe.

However, you can opt to trace your point in any co-ordinate as per the plot data. But the usual sequence is 1, 2, 3, 4 quadrant and x, y plane respectively.

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How do you write 3 more than 5?.

Answers

To write 3 more than 5, we use the mathematical operation of addition and the notation 5 + 3 = 8.

To write 3 more than 5, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 5 + 3 = 8.

This notation means that we are adding 3 to 5, which results in 8. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is 8.

Another way to write 3 more than 5 is to use the phrase "5 plus 3". This phrase indicates that we are adding 3 to 5 to get 8.

Therefore, In short, to write 3 more than 5, we use the mathematical operation of addition and the notation 5 + 3 = 8. This means that we are adding 3 to 5, resulting in 8. It can also be written as "5 plus 3", indicating the same operation.

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State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

Anything helps, thank you!

Answers

The triangles ΔUVW are ΔUKL discovered to be similar by AA Similarity theorem.

How to identify similar triangles?

Similar triangles are defined as triangles that have the same shape, but then their sizes may differ. Thus, if two triangles are said to be similar, then it means that their corresponding angles are congruent and  also their corresponding sides are in equal proportion

There are three triangle similarity theorems, namely; Angle-Angle (AA), Side-Angle-Side (SAS) or Side-Side-Side (SSS).

Now, looking at the given image, we see that ∠UVW ≅ ∠UKL because they are both corresponding angles.

Similarly, we can say that ∠UWV ≅ ∠ULK because they are corresponding angles.

Thus, ΔUVW is similar to ΔUKL by AA similarity theorem.

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Use mathematical reasoning Two points have the same y-coordinate but different x-coordinates. Make a prediction about the slope of a line drawn through the points. Justify your prediction.

Answers

The slope of points with same y coordinate but a different x coordinate is 0

this is because change in y is zero

How to find the slope of the line

The slope, m of the linear function is calculated using the formula

= change in y / change in x

This is represented mathematically as

m = (y₀ - y₁) / (x₀ - x₁)

In this case change in y is zero since it is same point

y₀ = y₁

And when a number in the numerator is zero the division will result to a quotient of zero and hence the line is a horizontal line

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find a positive and negative co-terminal of each angle
2pi/7

Answers

A positive and negative angle that are coterminal to angle 2π / 7 are 16π / 7 and - 12π / 7, respectively.

How to find coterminal angles

Two consecutive angles are coterminal if and only if the difference between their measures equals 2π radians. Given an angle θ, then the family of coterminal angles can be derived from following equation:

θ' = θ + 2π · i, where i is an integer.

Where θ' is a coterminal angle, in radians.

First, determine a positive coterminal angle: (i = 1)

θ' = 2π / 7 + 2π

θ' = 16π / 7

Second, determine a negative co-terminal angle: (i = - 1)

θ' = 2π / 7 - 2π

θ' = - 12π / 7

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Help me I am struggling

Answers

Answer:
1. y = 1/4x-1 or y = 0.25x-1

Step-by-step explanation: Hello! You can do this by using the slope-intercept equation.  The slope-intercept formula is y = mx+b.  You have the x and y coordinates already, which is all you need to solve the equation.  m = slope, b = y-coordinate in the formula y = mx+b.  The first thing you have to do is find the slope.  To find the slope, use the formula (y2 - y1)/(x2-x1).  The y-coordinates are the second numbers in the coordinate pairs, and the x-coordinates are the first numbers in the coordinate pairs.  Put the information in the formula.  You now have: (0 - (-2))/(4 - (-4)).  Two negatives make a positive, so you can simplify this equation by writing (0 + 2)/(4 + 4).  Add both equations.  You now have 2/8.  You can simplify this even more by dividing the numerator and denominator by 2.  2/8 divided by 2/2 = 1/4.  You now know the slope is 1/4.  

The next thing you have to do is use the point-slope formula.  The point-slope formula is y - y1 = m(x - x1).  m = slope, so put the slope you know (1/4) in the equation.  y - y1 = 1/4(x - x1).  You also know that y1 = -2 and x1 = -4 from the given coordinate pairs.  Fill this information in.  
y - (-2) = 1/4(x - (-4)).  Two negatives make a positive, so you can simplify this into: y + 2 = 1/4(x + 4).  Distribute 1/4 to x and -4.  1/4 x x = 1/4x, and 1/4 x 4 = 1.  You now have y + 2 = 1/4x + 1.  Subtract 2 from both sides.  y + 2 - 2 = 1/4x + 1 - 2. You now have y = 1/4x-1.  This is in the format y = mx+b, which is what you are supposed to do.  The answer for question 1. is y = 1/4x-1.  Hope this helps you with the rest of the problems! If you still need help after this, I can teach you how to do the second question as well.

Pookie weighs 2 7/8 pounds. Rascal weighs 3 3/8 pounds. What is the total weight of both cats?

Answers

2 7/8 + 3 3/8= 5 10/8= 6 2/8

a very hungry hippo can eat 25 kilograms of grass in 50 min. how many min will it take for the hippo to eat 60kilograms.

Answers

Step-by-step explanation:

the ratio is 25/50 (25 kg in 50 minutes).

as a ratio is basically a fraction (just with a special meaning), we can simplify it as a "normal" fraction :

25/50 = 1/2

in other words, the hippo can eat 1 kg in 2 minutes.

now the answer to the question is easy :

how many minutes to eat 60 kg ?

remember, when we multiply one part of the fraction by a factor, we need to multiply the other post by the same factor to keep the overall value.

so, 60 kg = 60×1 kg

we multiply the numerator by 60, therefore, we need to multiply the denominator by 60 too. and we get

1/2 × 60/60 = 60/120

it takes the hippo 120 minutes to eat 60 kg.

What substitution should be used to rewrite 4x4 21x2 20 0 as a quadratic equation?.

Answers

The substitution which should be made to rewrite given equation  4x⁴ + 21x² + 20 = 0 as a quadratic equation is U = x² .

The Quadratic Equations are the type of polynomial equations which has the highest degree of 2 ,

The quadratic equations are algebraic equation of the second degree in the variable x .

given equation is ⇒ 4x⁴ + 21x² + 20 = 0 ;

we have to make this equation as a quadratic equation ,

So , we substitute , U as x² in given equation ,

we get ;

⇒ 4(x²)² + 21x² + 20 = 0 ;

⇒ 4(U)² + 21U + 20 = 0  ;

the equation becomes as  ⇒ 4U² + 21U + 20 = 0  , which is a quadratic .

Therefore , the substitution of U = x² , should be used .

The given question is incomplete , the complete question is

What substitution should be used to rewrite  4x⁴ + 21x² + 20 = 0 as a quadratic equation ?

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13. Find the measure of ∢1.

Answers

The measure of ∢1 is 40 degrees.

What is the measure of angle?

The measure of an angle is a numerical value that represents the amount of rotation of one ray around a common endpoint, called the vertex, compared to another ray. The measure of an angle is usually measured in degrees (°).

The measure of an angle can be found by using the following formula:

Measure of ∢1 = 180 - (measure of ∢2 + measure of ∢3)

In this case, we are given the measures of ∢2 and ∢3:

∢2 = 102 degrees

∢3 = 38 degrees

So, we can substitute these values into the formula:

Measure of ∢1 = 180 - (102 + 38) = 180 - 140 = 40 degrees

Therefore, the measure of ∢1 is 40 degrees.

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What are the 5 types of angle pairs?.

Answers

Answer:

Complementary Angles, Supplementary Angles, Adjacent Angles, Linear Pair, and vertical Angles.

Step-by-step explanation:

A+A+B=17, A+B+B = 13 A+B=C. Figure out C

Answers

C is calculated from solving simultaneous equation generated, the value of C is equal to 10

How to solve for C

The information from the problem helps to derive the equations which are solved simultaneously to get A and B then substituted to solve for C

A + A + B = 17and A + B + B = 13 are the given equations

2A + B = 17

A + 2B = 13

solving with calculator will result to

A = 7 and B = 3

substitution to solve for C

and C = A + B

C = 7 + 3

C = 10

hence c is equal to 10

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What is the difference between 7 digit number and smallest 8-digit number?.

Answers

The difference between the largest 7-digit and the smallest 8-digit number is 1.

The aim is to find the largest 5-digit and the smallest 8-digit numbers, and then we need to determine the difference between these two values.

Let's start by finding the smallest 8-digit number.

We know that 0 is the smallest digit that can not be used in the highest place value, so we will consider the next smallest digit, 1; therefore, it can be used in the highest place value.

Thus, we can create the required 8-digit smallest number with 0 and 1.

Hence, the smallest 8-digit number is 10000000.

Now, we will discover the largest 7-digit number.

As we know, the largest digit is 9, which can be used anywhere. So, we will form the largest 7-digit number with the digit 9.

Thus, the largest 7-digit number is 9999999.

Now, find the difference between these two values.

So, we can determine the difference between the smallest 8-digit number and the largest 7-digit number by subtracting the smallest from the largest.

Thus, we get,

⇒10000000 - 9999999

⇒1

Hence, 1 is the difference between the smallest 8-digit and the largest 7-digit numbers.

--The given question is incomplete; the complete question is

"What is the difference between the largest 7-digit number and the smallest 8-digit number?"--

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The formula V = 3 give the volume V of a cube with ide length. The volume of a cube that ha a ide length of 6 inche i ___ inche cubed

Answers

The volume of a cube that has an edge length of 6 inches is 216 inches cubed.

The formula for the volume of a cube is V = s^3, where s is the length of one of the edges of the cube.

In this case, the edge length of the cube is given as 6 inches. To find the volume, we can substitute that value into the formula:

V = 6^3 = 216

Key points:

The formula for the volume of a cube is V = s^3, where s is the length of one of the edges of the cube.We could use the property of exponents or distributive property to find the volume.The edge length, height, and width of a cube are all equal, it is a special case of a rectangular prism where all three dimensions are equal.The cube is a three-dimensional geometric shape with six square faces.The cube is a symmetric shape, with rotational symmetry of order three.The cube is a regular polyhedron, meaning its faces are congruent (equal) regular polygons.

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A big ship drops its anchor.
The variable lll models the anchor's elevation (in meters) relative to the water's surface ttt seconds after the ship drops its anchor.
l=-2.4t+75l=−2.4t+75l, equals, minus, 2, point, 4, t, plus, 75
What is the initial height of the anchor?

Answers

The initial height of the anchor is 75 meters.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, A big ship drops its anchor. The variable "l" models the anchor's elevation (in meters) relative to the water's surface "t" seconds after the ship drops its anchor.

l=-2.4t + 75

The initial Height of the anchor will be measured at t = 0

Thus,

the value of l at t = 0

l(0) = -2.4*0 + 75

l(0) = 75

Therefore, the Height of the anchor initially is 75 meters.

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Prove uing reolution that if
KB = (p ⇒ q)∧(r∨)∧(¬)∧(¬ ⇒ ¬t)∧(¬q∨)∧(¬p∧r ⇒ u)∧(w∨t),
then KB |= (u ∧ w)

Answers

To prove that if KB = (p ⇒ q)∧(r∨s)∧(¬p)∧(¬ ⇒ ¬t)∧(¬q∨t)∧(¬p∧r ⇒ u)∧(w∨t), then KB |= (u ∧ w) using resolution, we can start by assuming the negation of the conclusion, (¬u ∨ ¬w)

Then use the resolution to derive the empty clause, which would mean that our assumption is false and therefore the conclusion is true.

Here is one possible sequence of resolution steps:

step 1: Assume ¬u

step 2: ¬p∧r ⇒ u (from KB)

step 3: ¬p∧r (by resolution with step 2)

step 4: ¬p (from KB)

step 5: r (by resolution with step 3)

step 6: ¬q∨t (from KB)

step 7: t (by resolution with step 5)

step 8: ¬ ⇒ ¬t (from KB)

step 9: (by resolution with step 7)

step 10: p ⇒ q (from KB)

step 11: q (by resolution with step 9)

step 12: ¬q∨t (by resolution with step 6)

step 13: t (by resolution with step 7)

step 14: w∨t (from KB)

step 15: w (by resolution with step 13)

step 16: ¬u ∨ w (by resolution with steps 1 and 15)

step 17: (by resolution with steps 10 and 16)

Since we have derived the empty clause, our assumption (¬u ∨ ¬w) is false, and we have proven that KB |= (u ∧ w) by resolution.

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Which parallelograms have the same area? What is that area?

Answers

Therefore , the solution of the given problem of parallelograms comes out to be Figure 2 and Figure 4 are of the same area.

How do parallelograms work?

A simple quadrilateral with two sets of equal spacing is known as a parallelogram in Euclidean geometry. Both set of opposite ends are straight and equal in a particular type of quadrilateral termed as a parallelogram. Parallelograms come in four varieties, three of which are exclusive. The four different shapes are rhombuses, parallelograms, squares, and rectangles. A quadrilateral is a parallelogram if it has two sets od parallel sides. In a parallelogram, all cross-sectional lengths of the opposing angles and angles are equal.

Here,

Given :

Four parallelogram are given with different area we have to find the

parallelogram area equal is :

We observe from the given image ,

We get

Figure 2 and Figure 4 are of the same area.

Therefore , the solution of the given problem of parallelogram comes out to be Figure 2 and Figure 4 are of the same area.

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How do you write greater than 7?.

Answers

The greater than sign is '>' . If one value is greater than the other, use greater than. For example, 8 is greater than 7. Therefore, we can write greater than 7 is x >7.

Greater than symbol:

In mathematics, the greater than sign is placed between two values ​​where the first number is greater than the second number. For example, 10 > 5. Here 10 is greater than 5. For inequalities, the greater-than sign always refers to the greater value, and the sign consists of two equal length dashes joined at an acute angle on the right.

As we know math problems don't always end evenly. We may need to include inequalities such as greater than and less than signs. Statements can be expressed as mathematical expressions.

Example: 'x' is the number of students in the class. If she has more than 45 students in her class, and she has 5 students join her class again, then she has more than 50 students in her class. This statement is expressed mathematically as x + 5 > 45. fish . Crocodiles always want to eat more fish, so they can eat more fish, regardless of how many mouths they have open.

One of the best ways to remember the "greater than" and "less than" signs is to think of them as little alligators (or crocodiles). The numbers on either side represent the number of fish. Crocodiles always want to eat more fish, so they can eat more fish, regardless of how many mouths they have open.

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Lin's father is paying for a $20 meal. He has a 15%-off coupon for the
meal. After the discount, a 7% sales tax is applied. What does Lin's
father pay for the meal? Explain or show your reasoning.

Answers

Answer:

18.19

Step-by-step explanation:

15% of 20 = 3

20 - 3 = 17

7% of 17 = 1.19

17 + 1.19 = 18.19

What is the shortest side of ∆ XYZ?.

Answers

The shortest side of the right-angle triangle is its base therefore the shortest side is XY.

There are various different kinds of triangles that exists for example there is an isosceles triangle, right angle triangle equilateral triangle acute angle triangle, obtuse angle triangle hey and many more many. So in a right angle triangle the size of each side is different. As we know that the side opposite to the right angle is known as hypotenuse which is the longest side of the rightangle triangle and the adjacent side the hypotenuse is called base which is the shortest side of a right-angle triangle XYZ.

Also the sum of all the interior angles of a triangle should be equal to 180 degrees.

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a fruit salad recipe uses 150 grames of grapes, 250 grams of oranges, and 50 grams of strawberries. How many grams of fruit do you need to make two salads?

Answers

The recipe for making 2 salads requires 450 grams of fruit

Answer: 900

Step-by-step explanation:

Add 150 + 250 + 50 = 450 .

After 450 * 2 = 900

PLEASE HURRY!

No false answers just for points !

Answers

The adjacent angle to ∠PSL is ∠KRM which is ∠2

what is adjacent angle?

Adjacent angles are two angles that share a common vertex and have a common side (or arm) but no common interior points. They are side by side angles and are next to each other. They are not always congruent but they share a common side, usually represented by a line. They can be acute, obtuse or right angles. They can also be complementary angles, meaning they add up to 90 degrees. For example, in a rectangle, the angles across from each other are called adjacent angles, they are both right angles.

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What is the mirror image of 3 2 with respect to x-axis?.

Answers

The mirror image of (3,2) in X-axis => (-3,-2), Y-axis => (3,-2).

The term mirror image of the point is a reflected duplication that appears identical but in reverse.

Here we have given points (3,2).

And we have to find the mirror image of this point with respect to the y-axis that is the mirror image is a point whose distance is the same from the origin O (0, 0) and the same from both axes as of the point (3,2).

As we all know that (3,2) lies on the first quadrant, then the mirror image with respect to the y-axis must lie on the second quadrant.

And we all also know that In the second quadrant, here the x-coordinate of any point (x, y) is negative.

Therefore, while we looking into the given graph we have identified that the mirror image is (-2, 3).

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helphelphelphelphelp

Answers

The answer should be -4x+8

(Distributive Property)

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There are 10 banana, 22 apple and kri took 3. What fraction of the fruit did Kri take?

Answers

The fraction of the fruit that Kri that is   [tex]\frac{3}{32}[/tex]. To find the fraction, you have to determine the value of the total data.

How to find the fraction of the fruit that Kri take?

As per data given are banana = 10 and apple = 22. We will determine the fraction that Kri take by sum up the fruit and then determine the fraction where the maths as follow:

Total fruit = banana + apple

Total fruit = 10 + 22

Total fruit = 32

Then find Kri fraction as follow

Kri fraction = Kri fruit : total fruit

Kri fraction = 3 : 32 = [tex]\frac{3}{32}[/tex]

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Whats the value of x for the triangle?

Answers

Answer: 41

Step-by-step explanation: please someone tell me is 49 or 48 because I think. It looks like 48.

90 - 48 = 41

What are equivalents in maths?.

Answers

In maths, equivalent is different from equality. The same means the same in all respects, but equivalent means similar but not identical.

Equivalent generally refers to two numbers, terms, or expressions that have the same value. There are many ways to express equivalent quantities.

Equivalent formulas : Two formulas are said to be equivalent if they give the same result when solved. For example, suppose the number 2 is equivalent to 1 + 1.

Equivalent Fractions: Two fractions are equivalent if they represent the same value, proportion, or amount. Equivalent fractions are present with different numerators and denominators. Example: 2/5 = 4/10 = 6/15.

Equivalence ratio: An equivalence ratio is a ratio that can express a similarity between numbers or values. They are similar in proportion and have the same value. For example, 1:3 and 2:6 are equivalent ratios.

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What is a sum example?.

Answers

Sum of first n natural numbers, i.e., n(n + 1)/2 is an example of sum of numbers.

Sum is defined as a way of putting all the things like numbers, quantities, etc. together. Alternate words used for sum are “all together, “put together,” and “total,” etc. For example, the sum of first five natural numbers. First five natural numbers are 1, 2, 3, 4, and 5, then sum of first five natural numbers is written as 1 + 2 + 3 + 4 + 5 = 15

Similarly, Sum of First n Natural Numbers :

We have to calculate the sum of the sequence of first n natural numbers. Consider the first n natural numbers as 1, 2, 3, 4,…., n. This represents an AP with first term a = 1 and last term l = n. As we know Sum formula for Arithmetic Progression, S = (n/2) (a + l)

= (n/2)(1 + n)

= n(n + 1)/2

Therefore, the sum of the first n natural numbers is given by n(n + 1)/2.

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In the context of the text, how has America changed over time? How does the attack on Pearl Harbor represent a great shift in America? How did America's relations with Japan and those of Japanese descent change after the attack on Pearl Harbor? The royals softball team played 75 games and won 55 games what percent of the games did they louse round to the nearest tenth Based on your answer to the last question, which of the following prices of trade (that is, price of wine in terms of jeans) would allow both Germany and Portugal to gain from trade? Check all that apply.O 10 pairs of jeans per bottle of wineO 17 pairs of jeans per bottle of wineO 1 pair of jeans per bottle of wineO 9 pairs of jeans per bottle of wine discuss with me a time when YOU had a certain view of one thing, but as time passed and as experiences and life happened, your view has changed. Share with me that time in the space below in six-eight sentences or more. why do hurricanes lose strength when they move over land? List the three important court cases that the Marshall Court ruled on and the important long-range principle established by each one. I will give BranleyA rectangular flag is 80 centimeters by 92 centimeters. What are the dimensions of a scale drawing of the flag using the scale 1:4? 20 cm by 23 cm 320 cm by 360 cm 8 cm by 9.2 cm 1.15 cm by 4.35 cm Which of the following characteristics of living things best explains why some North American birds fly south for the winter? a. Living things respond to their environment. b. Living things maintain internal balance. c. Living things are made up of units called cells. d. Living things are based on a universal genetic code. 15n2 - 7n - 2Algebra. Factoring Trinomials.Please help.Factor the following trinomials. Helpful Hint: Use the Sum/Product and Factoring by Grouping method for trinomials with a leading coefficient other than one. Check your answers using the FOIL method please help me!!!! 26 pointz 6. What is humanism? (20 words minimum) Why is it important to Greece to have the Elgin marbles returned?. What's To. box in computer and technology Character Sketch-Analyze the character of Sue, Johnsy and Behrman based on the traits as per the storyStory- The last leaf What are the coordinates of the vertex for f/x )= 3x 2 6x 3?. Who appoints the US Senate?. What is stage left stage right?. As the temperature of a gas at 500 K is changed to 380 K at constant pressure, will thevolume of gas increase, decrease, or remain the same? Explain why in terms of how themolecules are moving. PLS HELPPP (algebra 2)Given f(x)=4(2)^x a. find f(4) b. write your answer as a logarithmic expression One holder of this title employed the mercenary Sir John Hawkwood in a conflict against Florence known as the War of the Eight Saintspopes (accept Bishop of Rome until read; accept pontiff; accept Vicar of Jesus Christ)