What set of reflections and rotations would carry rectangle ABCD onto itself?

Reflect over the y-axis, reflect over the x-axis, rotate 180°
Rotate 180°, reflect over the x-axis, reflect over the line y = x
Reflect over the x-axis, rotate 180°, reflect over the x-axis
Rotate 180°, reflect over the y-axis, reflect over the line y = x

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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Answer:

The coefficients of the expansion are given by the 6th row of Pascal's triangle, where the top row is row zero, the next is row one, etc. The coefficients of the 6th row are used because we are expanding to the 6th power. The coefficients are 1 , 6 , 15 , 20 , 15 , 6 , 1 .

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Absolute value equality entered:

|x-3|+2 = 7

Another term is moved/added to the right-hand side.

|x-3| = 7 - 2

|x-3| = 5

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-3|

For the Negative case, we'll use -(x-3)

For the Positive case, we'll use (x-3)

-(x-3) = 5

Multiply

-x+3 = 5

Rearrange and add up

-x = 2

Multiply both sides by (-1)

x = -2

Which is the solution for the Negative Case

(x-3) = 5

Rearrange and add up

x = 8

Which is the solution for the Positive Case

x=-2

x=8

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A glide reflection is commutative. Reversing the direction of the composition will not affect the outcome.

A composite transformation is a glide reflection, right?

Which of the ensuing characteristics is unaffected by a glide reflection?

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The equation of the line 3x + 2y = 6 is perpendicular with the equation of the line (A) 4x - 6y = 3.

Two lines are perpendicular with each other if they form right angle at the point of their intersection. The slopes of perpendicular lines are negative reciprocal of one another.

The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

In an equation in standard form, ax + by = c, the slope, m,  of the line is equal to a/b. On the other hand, in an equation in slope-intercept form, y = mx + b, m is the slope.

Determine the slope of the given line and each given choices:

3x + 2y = 6

m = a/b = 3/2

(A) 4x - 6y = 3

m = a/b = 4/-6 = -2/3

(B) y = -(3/2)x + 4

m = -3/2

(C) 2x + 3y = 12

m = a/b = 2/3

(D) y = (3/2)x + 1

m = 3/2

Since the slope of the given line is 3/2, taking its negative reciprocal, the slope of the perpendicular line should be -2/3. The line with the slope of -2/3 is (A) 4x - 6y = 3.

Hence, (A) 4x - 6y = 3 is perpendicular with 3x + 2y = 6.

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We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

So,

Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:

Hence, m∠RNM = ∠RNQ - ∠MNP + 78

Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

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The equation in point-slope form of the line having the slope m=1/4 and contains the point (3,-1) is [tex]y+1=\frac{1}{4}(x-3)[/tex]

Given,

The slope m= [tex]\frac{1}{4}[/tex]

The point = (3,-1)

We know the point-slope form,

[tex]y-y_{1}=m(x-x_{1})[/tex]

Substitute the values in the equation

[tex]y-(-1)=\frac{1}{4} (x-3)\\y+1=\frac{1}{4}(x-3)[/tex]

Hence, the equation in point-slope form of the line having the slope m=1/4 and contains the point (3,-1) is [tex]y+1=\frac{1}{4}(x-3)[/tex]

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6 of 20 cents there if they add up to a total of 13.2 euros.

The area of mathematics known as discrete mathematics deals with objects that can only take into account individual, unique values. The basic ideas of Sets, Relations, and Functions, Mathematical Logic, Group Theory, Counting Theory, Probability, Mathematical Induction, and Recurrence Relations, as well as Graph Theory, Trees, and Boolean Algebra are covered in this course.

X=coins t 1 euro

18-x coins 20 cents

X+0,20*(18-x)= 13,2

X+3,6- 0,20x= 13,2

0,8x=96

X=9,6/0,8= 12 coins  1-euro

18-12=6 coins 20 cents

Hence, 6 of the 20 cents here add up to a total of 13.2 euros.

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The equivalent expression for the given expression is 4² or 16.

The given expression is [tex]\frac{-4^{4} }{-4^{2}}[/tex].

We need to write the equivalent expression for the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Now, [tex]\frac{-4^{4} }{-4^{2}}[/tex] can be simplified as follows:

=[tex]4^{4} \times4^{-2} =4^{4-2}[/tex]   (∵[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])

=4²=16

Therefore, the equivalent expression for the given expression is 4² or 16.

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Answer:

1, 3 and 5

Step-by-step explanation:

You can formulate the postulate as:

x² + (x + 2)² + 15 = (x + 4)²

Which simplifies to x² - 4x + 3 = 0, with solutions x=1 and x=3

so 1, 3 and 5 must be the other tuple.

The function that models the horizontal shink of f(x) by a scale factor k = 3 is:

g(x) = |3*x| + 5

Here we want to apply a transformation to a given function where the transformation is a shrink.

For a function f(x), a horizontal shrink (or compression) of scale factor K is written as:

g(x) = f(k*x)

In this case we have the absolute value function:

f(x)= |x| + 5

And we want to apply an horizontal shrink of scale factor k = 3, so we will have a new function defined as:

g(x) = f(3*x)

If we replace f(x) by the function above we will get:

g(x) = f(3*x) = |3*x| + 5

So we conclude that the transformed function is just:

g(x) = |3*x| + 5

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Answer:

option 1

Step-by-step explanation:

hope this works :)

FA recursive formula allows us to find each term in the geometric sequence using the previous term. Each new term is the product of the common ratio for that sequence and the previous term of that unknown or to-be-found term. If the common ratio is 9, each term is nine times the previous term.

The general term for the geometric sequence is,

an= a1 * r ^ (n-1)

Where "an" refers to the nth term of the sequence, a1 is the first term known as the sequence, and r is the common ratio, n is its position or the number.

Now the given values are,

a₁ = -1 and r = -1

Sequence: -1, 1, -1, 1, -1, 1, -1, 1, -1 ...

We can easily identify the first three terms from the above sequence.

3rd value: -1

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The correct equation is:

|x - 32| = 0.78

In this case, x represents both the maximum and minimum accepted volumes.

We know that the mean volume is 32 fluid ounces, and the acceptable error is 0.78 fluid ounces.

Then the maximum acceptable volume is 32 + 0.78 fluid ounces, and the minimum acceptable volume is 32 - 0.78 fluid ounces.

This means that the absolute value of the difference between x, the volume, and 32, must be equal to 0.78

This is written as:

|x - 32| = 0.78

In this case, x represents both the maximum and minimum accepted volumes.

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Answer:

64 - 2g

Step-by-step explanation:

64 decreased by twice Greg's saving (given)

↓               ↓            ↓        ↓

64              -              2        g  (final equation)

64 - 2g

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The required width of the rectangle is 10 meters.

Given that,
A rectangular field has a perimeter of 150m The field is 15 meters longer than it is wide. The width of the field is x meters.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
The area of the rectangle = length * width
150 = 15 * x
x = 150 / 15
x = 10

Thus, the required width of the rectangle is 10 meters.

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Referring  to the circle ED  is the chord that is not a diameter.

The circle is one of the shapes with consists of all points with identical distances from its center. A particular circle is named by its center.Here diameter of the circle is the distance across the circle through the center, whereas a chord is a line segment that joins two points on a curve on the circle since the diameter is satisfieding the points of a chord but a chord is not a diameter, as diameter are the line that just passes through the center of the circle, whereas the chord doesn't cross from the center of the circle, thus it can be quoted that, every diameter is a chord, but not every chord is a diameter.

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Answer:

Section formula for external division:

[tex]P(x,y)=(\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )[/tex]

By drawing two comparable right triangles, the evidence for this result is similar to the proof for internal divisions.

If we know the ratio of the internal distances of any two points from the provided location, we may use the section formula to obtain the coordinates of that point.

If we were to determine the coordinates of the point P, we might use the formula below by knowing the coordinates of the points A and B and the ratio of their distances to the provided point P. (section formula).

Since all other values must be provided, any formula with two or more variables can be used to determine the value of any variable. Therefore, the formula also include the other quantities.

Another well-known coordinate geometry formula exists and is a specific instance of the section formula.

If a point is equally spaced from the provided points, the mid-point formula may be used to get its coordinates. (where the ratio of m to n is 1:1)

Thanks,

Eddie

Hector outperformed the challenge rate as he exercised 2.88 hours a week.

It is best to convert the mixed fraction to decimals for easier calculation.

The students are encouraged to exercise 2¹/₂ hours per week. In decimals this is:

= 2 + ¹/₂

= 2 + 0.5

= 2.5 hours per week

In the 4 week period, Hector exercised 11¹/₂ hours which is:

= 11 + ¹/₂

= 11 + 0.5

= 11.5 hours

The number of hours he exercised per week is:

= Number of hours in total / Number of weeks

= 11.5 / 4

= 2.88 hours per week

When compared to the fitness challenge rate, we can conclude that Hector outperformed the challenge rate

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The weight of Christensen's family's kitten is 9 pounds 3 ounces.

The imperial unit of mass or weight measurement is the pound. The symbols for pounds are lb and lbm. A kilogram weighs 0.4535 pounds. The term "pound" has Germanic roots.

In the conventional system of measurement, a pound is a unit of weight. 16 ounces make up one pound.

Therefore,

We know that 1 pound = 16 ounces

16 ounces = 1 pound

Dividing each side by 16.

( 16 / 16) ounces = ( 1/16 ) pound

1 ounce = ( 1/16 ) pound

Multiplying each side by 147,

1 ounce × 147 = ( 1/16 ) × 147 pound

147 ounces = ( 147 / 16 ) pounds

147 ounces = 9.1875 pounds

147 ounces = 9 + 0.1875 pounds

147 ounces = 9 pounds 3 ounces

The weight of the kitten is 9 pounds 3 ounces.

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Answer:

no 1 answer is asia

no 2 answer is europe

Yes, a unit rate is a rate at which the the comparison is one unit.

A unit rate is a ratio between two separate units with one as the denominator.

Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life. This subject is all about mathematical procedures and problems centered on numbers.

           We actually solve mathematical puzzles during our daily activities, whether we mean to or not. For instance, whether buying fruits or vegetables, engaging in other transactions, or determining how quickly something will happen, etc.

When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the denominator of a rate is 1, we refer to it as a unit rate.

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Answer:

B. Thousandths

Step-by-step explanation:

Let's compare the numbers:

2.7693

2.7602

^ This is where the numbers first differ.

This number is three spaces to the right of the decimal, so it is in the thousandths place.