By which angle measures can the regular pentagon be rotated so it maps onto itself? Select each correct answer. 72° 72° 90° 90° 135° 135° 144° 144° 216° 216° 300°

Answer:

Any Nber between 0-58 or 1-59

Step-by-step explanation:

Well you are already given the range which is 58. The question is asking for two number that are in the range. The range 58 means it can't be greater than 59. The range is how far apart the great y vaule is from the lowest y vaule.

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Answer:

x = - 7.5

Step-by-step explanation:

Given:

[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}\left(x+5\right)[/tex]

Solution~:

[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}\left(x+5\right)[/tex]

Distribute:

[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}x+\frac{5}{2}[/tex]

Subtract 1/4 from both sides:

[tex]\frac{1}{5}x+\frac{1}{4}-\frac{1}{4}=\frac{1}{2}x+\frac{5}{2}-\frac{1}{4}[/tex]

[tex]\frac{1}{5}x=\frac{9}{4}+\frac{1}{2}x[/tex]

Subtract 1/2x from both sides:

[tex]\frac{1}{5}x-\frac{1}{2}x=\frac{9}{4}+\frac{1}{2}x-\frac{1}{2}x[/tex]

[tex]-\frac{3}{10}x=\frac{9}{4}[/tex]

Multiply both sides by 10:

[tex]10\left(-\frac{3}{10}x\right)=\frac{9\cdot \:10}{4}[/tex]

[tex]-3x=\frac{45}{2}[/tex]

Divide both sides by -3:

[tex]\frac{-3x}{-3}=\frac{\frac{45}{2}}{-3}[/tex]

x = -15/2

x = -7.5

xcookiex12

9/4/2022

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Step-by-step explanation:

if there is no typo the expression is :

7 + 5c + 4d - 8c + d

to simplify combine all terms with the same variable and exponent of that variable.

so, this is

7 + (5c - 8c) + (4d + d) = 7 - 3c + 5d

Answer:

-3c+5d+7

Step-by-step explanation:

The greatest possible containers required by Kiara is 4.

The number of oatmeal and chocolate chip cookies in each container is 3 and 4 respectively.

For the given question;

The total number of oatmeal cookies = 12.

The total number of chocolate chip cookies = 16.

Taking the HCF of 12 and 16 (the largest multiple pf 12 and 16).

HCF = 4.

Thus, the number of boxes requires is 4.

The oat place in one box is 3. In 4 boxes it will be 12.

Similarly, the chocolate chip cookies placed in one box is 4. In 4 boxes it will be 16.

Thus, the oat placed in each box is 3 and the chocolate chip cookies placed is 4.

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Answer:

6m - 8

Step-by-step explanation:

Add all of the sides

2m+1+2m+1+m-5+m-5

Then combine everything

6m - 8

Answer:

B.) 90.000

Step-by-step explanation:

Your pre-selected answer choice is correct. The 9 is in the Ten Thousands place.

Answer:

No solutions.

Step-by-step explanation:

[tex]\left|2w\left(x\right)+12\right|=\left|4x\right|[/tex]
[tex]x < 0,\:\:x\ge \:0 = No Solutions[/tex]

If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11

Let the given number be x,

the number, x is added with 2 and then it is tripled which means       (x + 2)*3 is equal to five less than two times of that number which is 2x - 5

3(x + 2) = 2x - 5

3x + 6 = 2x - 5

3x - 2x = - 5 + (-6)

x = - 11

Therefore, If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11

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The friend doesn't have a fever when the temperature increases by 1°C.

To convert Celcius to Fahrenheit,we have to multiply by 1.8 and add 32°.

This will be:

37°C = (37 × 1.8) + 32

= 98.6

When we add 1°, we will get 99.6.

Therefore, the friend doesn't have a fever when the temperature increases by 1°C.

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The percent of calories from protein from one serving of the food is found as 15.88%.

A relative value representing the hundredth part of any quantity One percent (denoted 1%) is one hundredth part; thereby the, 100 percent describes the entire amount and 200 % identifies twice the given amount.

For the given information;

The total calories is 277.

Nutrients information in food.

Protein - 11g

Carbohydrate - 45g

Fat -  6g​

The protein contains 4 calories per gram.

Thus, 11 grams of protein contains 4×11 = 44 calories per grams.

Find the % content of protein out of 277 calories;

p% of 277 = 44

p% = (44×100)/277

p% = 15.88%.

Therefore, the percentage of protein contained in the serving food is 15.88%.

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Answer:

0.275 lb

Step-by-step explanation:

Use a calculator to divide 11 by 40.

11/40 = 0.275

Answer:

0.275 pounds

Step-by-step explanation:

divide 11 (numerator) by 40 (denominator).

Answer:

  7 mph

Step-by-step explanation:

A boat whose speed in still water is 26 mph makes a trip upstream in 33 minutes and returns in 19 minutes. You want to know the speed of the current.

The travel time is inversely proportional to the speed, so we can write the proportion (using c for the current speed in mph) ...

  time upstream / time downstream = speed downstream / speed upstream

  33/19 = (26 +c)/(26 -c)

Multiplying by 19(26 -c) gives ...

  33(26 -c) = 19(26 +c)

  (33 -19)(26) = (33 +19)c . . . . add 33c -19(26)

  14(26)/(52) = c = 7

The speed of the current is 7 miles per hour.

Assume that the following definitions of the functions r and s apply to all real numbers x. r(x)=x-2s(x)=3x+6 Evaluate (rs)(1) and write the equations for (r+s)(x) and (r-s)(x). r+s(x) = r-s(x) = r.s(-1) =

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

The types of functions can be broadly classified into four types. Based on Element: One to one Function, many to one function, onto function, one to one and onto function, into function.

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Answer:

5

Step-by-step explanation:

Hop the spaces from 1 until you reach to 6 and you get 5 hops

Answer:

a

Step-by-step explanation:

the answer is a

Answer:

C

Step-by-step explanation:

The graph of the linear equation, x = 6, is shown in the image attached below.

The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.

Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.

Thus, the graph of the linear equation, x = 6, is shown in the image attached below.

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The value of the c is 1 which makes the perfect square trinomial.

According to the statement

We have to find that the value of the c.

So, For this purpose, we know that the

An expression obtained from the square of the binomial equation is a perfect square trinomial.

From the given information:

The Given statement is:

x² - 2x + c

is a perfect square of the form

(x - a)² = x² - 2ax + a²

Now,compare with x² - 2x + c, then

- 2a = - 2 ⇒ a = 1,

thus

a² = 1² = 1 = c

(x - 1)² = x² - 2x + 1 ← perfect square trinomial

It means the value of c is 1.

So, The value of the c is 1 which makes the perfect square trinomial.

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1) The area of the room in square feet, square inches, and square yards is as follows:

Area = 120 ft²

Area = 1,440 in²

Area = 40 yards²

2) The volume of the room in cubic feet, cubic inches, and cubic yards is as follows:

Volume = 1,440 ft³

Voluem = 17,280 in²

Volume = 480 yards²

The conversion rates are:

The mathematical operations of multiplication and division are used.

Let the length = 12 feet

Let the width = 10 feet

Let the height = 12 feet

1 foot = 12 inches

3 feet = 1 yard

Area = 120 ft² (12 x 10)

Area = 1,440 in²  (120 x 12)

Area = 40 yards² (120/3)

Volume = 1,440 ft³ (12 x 10 x 12)

Voluem = 17,280 in²  (1,440 x 12)

Volume = 480 yards² (1,440/3)

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The solution to the given quadratic equation using the completing the square method is t = -5/2 ±√29/4

Given the quadratic equation expressed as;

t^2+5t−1=0

Add 1 to both sides

t^2+5t−1 + 1 = 0+1

t^2 + 5t = 1

Take the square of half of the coefficient of t to have:

t^2 + 5t + (5/2)^2 = 1 + (5/2)^2

(t+5/2)^2 = 1+25/4

(t+5/2)^2 = 29/4

t + 5/2 = ±√29/4

t = -5/2 ±√29/4

Hence the solution to the given quadratic equation using the completing the square method is t = -5/2 ±√29/4

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f the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb

Let the gray suitcase be represented by g

Let the pink suitcase be represented by p

Let the blue suitcase be represented by b

The gray suitcase weighs 11 lb more than the pink suitcase

g    =   p   +   11........(1)

The pink suitcase weighs 5 lb than the blue suitcase.

p   =  b  +  5

b  =  p  -  5...........(2)

Total of 3 suitcases = 127 lb

p  +  b  +  g    =  127............(3)

Substitute equations (1) and (2) into equation (3)

p  +  p  - 5 + p  +  11   =  127

3p  +  6   =  127

3p   =  127  -  6

3p   =  121

p  =  121/3

p  = 40.3 lb

Substitute p = 40.3 into equation (2)

b = p - 5

b  = 40.3  - 5

b  =  35.3

The blue suitcase weigh 35.3 lb

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hi

if you call the number  "n"  you have  :    ( 4n)³

The cube formed by the product of 4 and a number is (4 * n)^3.

According to our question ,

Hence we can say that the cube formed by the product of 4 and a number is (4 * n)^3.

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Answer:

LCD = 12

Step-by-step explanation:

The principal is $145 .

Simple interest is the interest amount for a particular principal amount of money at rate of interest. The interest is calculated by multiplying the principal with the time and rate. The total amount after a certain time is given by the sum of the  principal and the interest for that time.

The formula for calculating the Interest on a Principal(P) , time(t) and rate(R).

Interest=P×R×t

Now let us consider the principal to be P.

Time(t)=5 years

Simple Interest(I)=$87

Rate(R)=12%=0.12

Now let us find the principle for the this interest using the above formula.

I=P×R×t

Substituting the given values we calculate the Principal(P).

[tex]87=P\times0.012\times5\\or,P=87\div(0.012\times5)\\or,P=87\div0.6\\or,P=145[/tex]

Therefore the Principal for the simple interest of $87 for 5 years at rate of 12% is $145.

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The length of all four sides of the Isoclesles Trapezium is 67 inches.

Area of a Trapezium is (1/2)(a+b)h.Where and b are the parallel sides of the trapezium and h is the distance between the two parallel side

We know that for a plane 2D figure perimeter is the sum of the lengths of all the sides.

Given an isosceles Trapezium with a perimeter of 67 inches,

As the sides are given in variables we can equate the sum of all the sides with the given perimeter and obtain the value of x.

∴ (x + 1.5x + 2.5x - 5 + x) = 67.

6x = 67 + 5.

6x = 72.

x = 12.

So, the measure of lengths of four sides are [ 12 + 1.5(12) + 2.5(12) - 5 + 12) which is ( 12 + 18 + 30 - 5 + 12 ) = 67 inches.

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The net decimal equivalent of the series 40/15/30 is 0.357;

Here we assume let X be retail price.

So,

X - 0.40 × X = Y    ⇒ first discounted price.

Y - 0.15 × Y = Z    ⇒ second discounted price.

Z - 0.30 × Z = T        ⇒ total discounted price.

Now

X - 0.40 × X = (1 - 0.40) × X = 0.60 × X = Y

Y - 0.15 × Y = (1 - 0.15) × Y = 0.85 × Y = Z

Z - 0.30 × Z  = (1 - 0.30) × Z  = 0.70 × Z = T

Also, Z = 0.85 × Y, then 0.70 × Z = 0.70 × 0.85 × Y

And, Y = 0.60 × X, then 0.70 × Z = 0.70 × 0.85 × 0.60 × X

So,

= 0.70 × 0.85 × 0.60 × X

= 0.357X;

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It is given that RSTU is a parallelogram, so RU ∥ ST by the definition of parallelogram.

Therefore, ∠1 ≅ ∠2 by the alternate interior angles theorem, and m∠1 = m∠2 by the angle congruence postulate .

It is also given that ∠1 and ∠3 are complementary, so m∠1 + m∠3 = 90° by the definition of complementary .

By substitution, m∠2 + m∠3 = 90°, and so ∠2 and ∠3 are complementary by the definition of complementary.

From the given image of the parallelogram, we are given that;

Angle 1 and angle 3 are complementary.

Now, complementary angles sum up to 90°. Thus;

∠1 + ∠3 = 90°

Now, according to definition of parallelogram, we know that alternate interior angles of a parallelogram are congruent(equal). Thus;

∠1 = ∠2

Since ∠1 = ∠2, then by substitution property into the first equation, we have; ∠2 + ∠3 = 90°

Since the sum of ∠2 and ∠3 is equal to 90°, then we can say that they are both complementary angles.

Thus, we conclude that;

It is given that RSTU is a parallelogram, so RU ∥ ST by the definition of parallelogram.

Therefore, ∠1 ≅ ∠2 by the alternate interior angles theorem, and m∠1 = m∠2 by the angle congruence postulate .

It is also given that ∠1 and ∠3 are complementary, so m∠1 + m∠3 = 90° by the definition of complementary .

By substitution, m∠2 + m∠3 = 90°, and so ∠2 and ∠3 are complementary by the definition of complementary.

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