Are collinearity and betweenness of points maintained under rotation? Explain.

Answer:

yes

Step-by-step explanation:

there are two sets of parrelell line
i might have spelled it wrong

The parallelogram is ABCD with the sides AD parallel to BC

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 figure be represented as ABCD

Now , the sides AD and BC are parallel to each other

And , from the figure , we can say that the sides AB is parallel to CD

Therefore , the figure ABCD is a parallelogram

And , opposite sides of a parallelogram are parallel

Hence , the figure ABCD is a parallelogram

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The radius of a cylinder having height of 5cm and volume 770 cm³ is 7 cm.

Volume of a cylinder is the space occupied by it in a three - dimensional space.

Volume of a cylinder is calculated using the formula:

[tex]V = \pi r^{2} h[/tex]

[tex]r = \sqrt{\frac{V}{\pi h} }[/tex]

where r is the radius of the base of the cylinder.

is a constant having value 3.14

h is the height of the cylinder. It is the perpendicular height from the base.

According to the given condition,

V = 770 cm³ and h = 5 cm.

Substituting these values in the equation above,

∴ r = 7 cm

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The sum of the first 10 terms of the arithmetic series x+(x+y)+(x+2 y)+ . . . . . is S(10) = 10x+45y

The given arithmetic series:

     x+(x+y)+(x+2 y)+ . . . . .

Notice that:

a(1) = x

a(2) = x+y

a(3) = x+2y

We can find the common difference:

d = a(2) - a(1)

  = (x+y) - x = y

Recall the formula for the nth term of an arithmetic series:

a(n) = a(1) + (n - 1) . d

Substitute n = 10, a(1) = x, and d = y into the formula:

a(10) = x + (10 - 1)y

a(10) = x+9y

Use the sum formula:

S(n) = n/2 [a(1) + a(n)]

S(10) = 10/2 [x + (x+9y)]

S(10) = 5 .(2x+9y)

S(10) = 10x+45y

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Answer:

Jajajjajjajj

Step-by-step explanation:

The ratio of quarts of punch to cans of frozen orange is 3/2 with maintaining the ratio to make 4 quarts of a punch we need 2 2/3 cans of frozen orange.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Given that,

2 cans of frozen oranges are used to make 3 quarts of punch.

So,

quarts of punch/cans of frozen oranges = 3/2

Now with the same ratio if we use 4 quarts of punch

Then,

3/2 = 4/ cans of frozen orange

Cans of frozen orange = 4(2/3)

⇒ 8/3 = 2 2/3.

Hence " To make 4 quarts of a punch we need 2 2/3 cans of frozen orange".

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The missing terms of the given arithmetic sequence AP are 14, 21, 28, 35.

An arithmetic progression (AP) is a sequence with the same distinctions between each successive term.

Now, in response to the question;

The arithmetic sequence.14,..., 28, ............

There are total 4 terms in the series.

Let the initial term is  'a₁' is given as 14.

Let the second term is 'a₂'.

Let the third term be 'a₃' which is given as 28.

Ans, the let the fourth term is represented as 'a₄'.

As, we know that in the AP, the difference of the two consecutive terms is equal and called as common difference.

Thus,

d = a₂ - a₁      ........(equation 1)

d = a₃ - a₂     .......(equation 2)

Thus, equating the two equation;

a₂ - a₁ = a₃ - a₂

Substituting the values;

a₂ - 14 = 28 - a₂

Simplifying the equation;

2a₂ = 28 + 14

2a₂ = 42

a₂ = 21.

Put the obtained value in equation 1 and find d.

d = a₂ - a₁

d = 21 - 14

d = 7

Now, estimate a₄.

a₄ = a₃ + d

a₄ = 28 + 7

a₄ = 35

Therefore, the complete arithmetic sequence is 14, 21, 28, 35.

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Answer:

It's a single number used to describe a set of numeric data.

An equation that relates T to N can be written as T = 750 + 560N.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population (data set).

Since the total amount saved by using both plans (functions A and B) is represented by T, an equation that relates T to N can be written as follows:

T = A + B

Substituting the given parameters into the formula, we have;

T = (750 + 165N) + 395N

T = 750 + 165N + 395N

T = 750 + 560N.

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Complete Question:

Ann and her husband are each starting a saving plan. Ann will initially set aside $750 and then add $165 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+165N , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $395 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=395N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.

Simplify your answer as much as possible.

if f(x)=2x+2

and f(x)= -1

2(-1) +2

-2 + 2 =0

the value would be 0

Answer: x=60/13

Step-by-step explanation:

The smaller triangle has the same proportions as the bigger triangle.

Hence, 13/12=5/x

13/12=5/x

13 * x/12=5

13x=5*12

13x=60

x=60/13

Answer: i believe your answer is 21x=100

Step-by-step explanation: hope this helps

The product in scientific notation of (4.12 × 10^−9)(8.3 × 10^15) is  3.4196 * 10^7

The product expression is given as

(4.12 × 10^−9)(8.3 × 10^15)

Rewrite properly as

(4.12 × 10^−9)(8.3 × 10^15) =  (4.12 × 10^−9) * (8.3 × 10^15)

Evaluate the product of 4.12 and 8.3 in the above expression

So, we have

(4.12 × 10^−9)(8.3 × 10^15) =  34.196 * 10^−9 × 10^15

Evaluate the product of 10^−9 and 10^15 in the above expression

So, we have

(4.12 × 10^−9)(8.3 × 10^15) =  34.196 * 10^6

Rewrite the expression as

(4.12 × 10^−9)(8.3 × 10^15) =  3.4196 * 10^7

Hence, the product in scientific notation of (4.12 × 10^−9)(8.3 × 10^15) is  3.4196 * 10^7

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Answer:

Its B. 3.4196 x 10^7

Step-by-step explanation:

This is correct answer :))

The required value of y also gets divided by 7.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of y

let k be the constant of proportion

When a quantity varies directly with other quantity, then we have a relation, y = kx      

Now, find k for, some fixed value of x and y

Further, calculate y when x is divided by 7. In a general case, y will also be divided by 7 as both x and y varies directly.

Hence, the value of y also gets divided by 7.

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Answer:

X = 2

Step-by-step explanation:

4x-2 = 2x+2 multiply the brackets on both sides

4x-2x = 2+2 bring thes x's to one side & the constants to another side

2x = 4 simplify

X = 4÷2 divide

x = 2

By applying the exponent rule of division, the equivalent expression to  [tex]r^m \div r^n[/tex] is: A. [tex]r^{m - n}[/tex].

Given the expression, [tex]r^m \div r^n[/tex], we can find the expression that is equivalent to it by rewriting the expression as shown below:

r^m ÷ r^n

According to the exponent rule of division, if we are to divide two bases together that have the same same base but different exponents, what we only need to do is to subtract their powers.

We would apply this same rule in this given problem.

Applying the exponents rule of division, we would subtract the powers:

r^m ÷ r^n = r^(m - n)

Therefore, by applying the exponent rule of division, the equivalent expression to  [tex]r^m \div r^n[/tex] is: A. [tex]r^{m - n}[/tex].

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Answer:

Step-by-step explanation:

False inequality, so no solutions.

y=mx+c, where m is slope. Here x=-2, x-intercept at (x,y)=(-2,0)

and there is no y intercept.

y=mx+c, where m is slope.

The x-intercept is the value of x when y=0.

Since x=-2 for all values of y

it follows that x=-2 when y=0.

The y-intercept is the value of y when x=0 (or alternately the solution point of the form 90,y)). since x neq 0 not matter what value is assigned to y, no such point exists (graphically x=-2 is a vertical line parallel to, and therefore never intersecting, the Y-axis).

Therefore  x-intercept at (x,y) is (-2,0) and there is no y intercept.

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Answer:

yes I need help

Step-by-step explanation:

I don't understand it very well.

The Probability of P(F/E) is 0.5  .

Baye's Theorem helps in finding the conditional probability probability of an event A given that event B has already occurred.

For Example : The probability of event A given that event B has already occurred is denoted by P(A/B) and is calculated by

[tex]P(A/B)=\frac{P(A.and.B) }{P(B)}[/tex]

It is given in the question that

P(E and F)=0.1      and  

P(E)=0.2

Using Baye's Theorem ,we get

[tex]P(F/E)=\frac{P(F .and .E)}{P(E)}[/tex]

Substituting the values ,we get

[tex]P(F/E)=\frac{0.1}{0.2}\\ \\ =\frac{1}{2} \\ \\ =0.5[/tex]

Therefore , the probability of P(F/E) is 0.5  .

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The answer in ascending order is -8/5, -0.7, 1.⁻3, [tex]\pi[/tex], [tex]\sqrt{13}[/tex]

What is ascending order?

Ascending order refers to the arrangement of numbers in ascending order, from least to greatest. We must first compare numbers before we may arrange them in any order. Count how many digits are in each number. The number with the fewest digits is the smallest.

The numbers arranged in ascending order are

-8/5, -0.7, 1.⁻3, [tex]\pi[/tex], [tex]\sqrt{13}[/tex]

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The largest integer of the three even consecutive integers is 24

We have been given that there are 3 even consecutive integers.

Let the first integer be = x

Let the second integer be = (x+2)

Let the third integer be = (x+4)

According to the question, the equation according to the condition given will be

x + 3(x+2) = 38 + 2(x+4)

Solving the equation, the value of x will be

x + 3x + 6 = 38 + 2x + 8

4x + 6 = 46 + 2x

2x = 40

x =20

Hence, the integers are

            first term = x =20

            Second term = x+2 = 20+2 = 22

           Third term = x+4 = 20+4 = 24

Thus the largest integers is 24

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The number of packs of hot dogs bought is 2 packs

The number of packs of hamburgers bought is 4 packs

Let x represent the number of hot dogs bought and y represent the number of hamburgers bought

x + y= 6.........equation 1

2.65x + 6.29y= 30.46.........equation 2

From equation 1

x + y= 6

x= 6 - y

Substitute 6 - y for x in equation 2

2.65(6-y) + 6.29y = 30.46

15.9 - 2.65y  + 6.29y = 30.46

3.64y = 30.46 - 15.9

3.64y= 14.56

y= 14.56/3.64

y= 4

Substitute 4 for y in equation 1

x + y= 6

x + 4= 6

x= 6 - 4

x= 2

Hence 2 packs of hot dogs and 4 packs of hamburgers were bought

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The equation that can be written to represent this situation is 15 + 25h = 115.

Let the number of hours be represented by h.

The equation will be:

(3 × 5) + (25 × h) = 115

15+ 25h = 115

It should be noted that 15 represents the cost of jackets

Therefore, the equation that can be written to represent this situation is 15 + 25h = 115.

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The equation that can be written to be present this situation is 115 = 25x + 15

Susie and friends rent 3 life jackets and a boat.

The  life jacket rents for $5.00 each.

The boat rents for $25.00 per hour.

The total cost is $115.

The equation that can be written to be present this situation is as follows:

The equations should be linear.

Therefore,

y = mx + b

where

Therefore, the equations is as follows;

y = 25x + 15

115 = 25x + 15

where

x = number of hours you rent the boat.

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The true statements are

The original statement is given as:

If a number is negative, the additive inverse is positive

This can be represented as

If p, then q

i.e. if p → q

So, (a) is correct

For the inverse, we simply negate the hypothesis and the conclusion

i.e. if ¬p → ¬q ----(b) is correct

For the converse, we simply switch the hypothesis and the conclusion

i.e. if q → p ----(e) is correct

Hence, the true statements are (a), (b) and (e)

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The value of the polynomial at the point [tex]x=a[/tex], just replace [tex]x[/tex] with [tex]a[/tex] in the polynomial equation.

Verify the following equation:

[tex]=4x^{2} -7x+5[/tex]

The given solution:

[tex]x=-3[/tex]

[tex]4x^{2} -7x+5[/tex]

Find the equation:

[tex]4x^{2} -7x+5[/tex]

[tex]4(-3x)^{2} -7(-3)+5[/tex]

[tex]=4(9)+21+5[/tex]

[tex]=36+26[/tex]

[tex]=62[/tex]

Therefore,The option E [tex]62[/tex] is the correct answer

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   The function g(x) is a quadratic function:

 Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.

 This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:

  1 : linear

  2 : quadratic

  The function:

g(x) = -2x² - 3(x- 2).

g(x) = -2x² - 3x + 6 , we have a quadratic function.

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A quadrilateral has a perimeter of 12 and all of the side lengths are odd integer then the probability that the quadrilateral is a rhombus is 1/4.

If the midpoints of a rhombus with 12-inch sides are connected, a quadrilateral is created. A square with a 12-inch diagonal would be the quadrilateral that is constructed.

A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.

All four side lengths must be added up in order to determine the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to accomplish this task efficiently.

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