Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:

Answer:

Step-by-step explanation:

36 is the anwser

The measure of the central angle of a regular polygon with 10 sides is 36°.

Polygon is a two dimensional figure which consists of certain number of line segments to form a closed figure.

Minimum three line segments is needed to form a closed figure, which is the triangle.

Circle is also a closed figure, but is not a polygon because it is note formed by line segments.

Regular polygons are polygons whose all sides are equal.

Sum of all central angles will be a full circle or 360°.

So the measure of central angle of a regular polygon = 360° / N, where N is the total number of sides of the regular polygon.

Here, Number of sides, N = 10

So the central angle = 360° / N

                                  = 360° / 10

                                  = 36°

Hence the central angle of a regular polygon with 10 sides is 36°.

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Answer:

[tex]a_{n}[/tex] = 90 - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

84 - 87 = 81 - 84 = - 3

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 87 and d = - 3 , then

[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n

Answer:

$18.63

Step-by-step explanation:

15% of 45 is equal to 45 times .15, which is equal to 6.75.

45+6.75 = 51.75

Ben resold the guitar for $51.75

36% of 51.75 is equal to 51.75*.36 or 18.63

Ben spent $18.63 on books

Answer:

A picture of the graph is attached

Step-by-step explanation:

Answer:

c = 4n

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

area of rectangle = length × width

so the the given area is 12

area of rectangle is 12 = 4 × width

so when we multiply 4 × 3 we get 12

and the final answer is ...

area of rectangle = length × width

4× 3 = 12

Step-by-step explanation:

:)

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Answer:

d

Step-by-step explanation:

A. Between 500 cm and 700 cmB. Between 550 cm and 650 cmC. Between 5.0 cm and 6.0 cmD. Between 5.5 cm and 6.4 cm A B C D

to round off to the nearest cm of 6. the value must be between 5.5 and 6.4

To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

Answer:

12

Step-by-step explanation:

The triangles are similar because they have the same angles.

Make a proportion to solve for AC which we will substitute with variable x.

AM = MB = 4

AB = AM + MB = 8

BN = NC = 3

BC = BN + NC = 6

big triangle sides: 8, 6, x

small triangle sides: 4, 3, 6

now we can write proportion.

8/4 = x/6

x = 12

AC = 12

5x + 3 is a linear equation in one variable

Answer:

y = 5/2x + 8

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-2) / -2 - (-4)

5 / 2

= 5/2

y = 5/2x + b

3 = 5/2(-2) + b

3 = -5 +  b

8 = b

Answer:

x= 70

Step-by-step explanation:

Answer:

-14 = n

Step-by-step explanation:

56 = -4n

Divide each side by -4

56/-4 = -4n/-4

-14 = n

Line p and q are not parallel, because the two given alternate interior angles are not congruent. (It’s B)

Answer:

The solution of this system is (9, 2).

Step-by-step explanation:

Substitute x - 7 for 'y' in the first equation.  We get:

x - 3(x - 7) = 3           Doing this temporarily eliminates the variable 'y'.

Now perform the indicated multiplication, and then combine like terms:

x - 3x + 21 = 3, or

-2x = -18

so that x = 9.  Substituting 9 for x in the second equation, we get:

y = 9 - 7, or y = 2.  

The solution of this system is (9, 2).

Answer:

Translation down 5 units.

Step-by-step explanation:

The - 5 results in a shift of the whole graph down 5 units.

Each value of g(x) is 5 units less f(x).

Answer:

The probability of getting 2 blues is 25/121.

Step-by-step explanation:

There are 6 + 5 marbles in total, 11 marbles.

The chances of picking a blue marble is 5/11.

Since you replace the marble you drew, the chances each draw remain 5/11

You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11.

5/11 * 5/11 = 25/121

The probability of getting 2 blues is 25/121.

Hope this helps, please mark brainliest! :) Have a great day.

Answer:

The answer of (-5/2) to the power of 2 is 6.25.

To convert inches to yards you would divide the number of inches by inches per yard.

The numerator would be the inches given and the denominator would be 36

The ratio would be inches / inches per yard.

Numerator = inches

Answer:

it looks like the length of one of the parts is

Step-by-step explanation:

sqrt(125) from 10^2 +5^2 = sqrt(125) using the pathogen Therom since the 3 lines are identical since they are parallel you multiply sqrt(125) by 3

so 3×sqrt(125)=33.54 inches of tape which is way less then than 86

Answer:

A. 56×10 -3

Step-by-step explanation:

Just multiply 8 and 7 and number of zeros should remain same.

[tex]8(7 \times 10 {}^{ - 3} ) \\ 56 \times 10 {}^{ - 3} [/tex]

Answer:

Step-by-step explanation:

Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.

Your

Answer:

9h

Step-by-step explanation:

Given data

Sofia earns $9 per hour mowing lawns

Let the total amount earned be t

and let the time worked be h

Hence

t= 9*h

t= 9h

The expression is 9h

Answer : Yes the answer to your question is 2411.

Explanation : how I got the answer

To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:

To convert integer 356 to quinary, follow these steps:

Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get the equivalent quinary number.

356 / 5 = 71 with remainder 1

71 / 5 = 14 with remainder 1

14 / 5 = 2 with remainder 4

2 / 5 = 0 with remainder 2

Here is the answer to 356 decimal to quinary number:

2411

Answer:

min: 3

Q1: 6

median: 12

Q3: 14.5

max: 17

Step-by-step explanation:

Put values in order of least to greatest value. Leftmost number is the minimum; rightmost number is the maximum. Middle number is the median (cross out values, alternating crossing out least and greatest values until 1 value is left). Find the median of the values to the left and right of the median; those are Q1 and Q3 respectively.

Given:

Total number of pages in a book = 360 pages

Fraction of pages Swati reads = [tex]\frac{1}{12}[/tex]

To find:

Number of pages Swati reads in a day

Steps:

Since we know the fraction of pages Swati reads each day, we can multiply the fraction with the total pages to find the number of pages read each day.

[tex]=360 * \frac{1}{12}[/tex]

[tex]= \frac{360 * 1}{12}[/tex]

[tex]=\frac{360}{12}[/tex]

[tex]=\frac{180}{6}[/tex]

[tex]=\frac{90}{3}[/tex]

[tex]=\frac{30}{1}[/tex]

= 30

Therefore, Swati reads 30 pages of the 360 pages per day.

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