Shown is a pentagon, with the size of
each angle shown. Work out the largest angle.

Shown Is A Pentagon, With The Size Ofeach Angle Shown. Work Out The Largest Angle.

Answers

Answer 1

Answer:

160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°

Answer 2

The solution is  : the largest angle is 150°.

What is the polygon?

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10

                      = 2(70) + 10

                      = 140 + 10

                      = 150°

Hence, The solution is  : the largest angle is 150°.

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Related Questions

Beatrice watched two films at the theatre. The first she watched was 2 1/6 hours long and the second film was 1 5/6 hours long . Calculate the total length of the two films

Answers

Answer:

4 Hours

Step-by-step explanation:

2 1/6 = 13/6

1 5/6 = 11/6

13/6+11/6= 24/6

Simplify 24/6 which will give you 4

Mr.Jones is building a patio outside of his back door.The patio will be 8.5 ft long and 10.7 ft wide.What is the area of the patio that Mr.Jones is building?

Answers

38.4 is the area. it’s 8.5 ft long so you do 8.5x2 and you get 17, and then for 10.7 you do 10.7x2 and get 21.4, then you add 21.4 and 17 together.

Answer:

90.95

Step-by-step explanation:

Determine the slope from the given graph below:

The slope is−17
The slope is 5
The slope is 7
The slope is -5

Answers

Answer:

The slope is positive 7

Step-by-step explanation:

The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)

Answer:

The slope is 7

Step-by-step explanation:

(1,2)(0,-5)

[tex]m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7[/tex]

Hope this helps

There are 9 new books and 5 used books. What is the ratio of all the books on the shelf to the new books

Answers

Answer:

14 to 5

Step-by-step explanation:

9 + 5 = 14(total books)

new books = 5

so ratio of total books to new books is 14 to 5

Three polygons have been divided
into triangles by drawing a
segment from one vertex to all nonadjacent vertices. If n is the
number of sides in the polygon, which expression shows the
number of triangles created by each polygon?
A.n
B.(n + 2)
C.(n - 2)
D.3n, 4n, 8n

Answers

The relationship between the sides of the polygon and the triangle follows an arithmetic sequence

The expression that represents the number of triangles is (c) n - 2

From the diagrams, we have:

Sides           Triangles

  5                    3

  6                    4

  8                    6

The above can be represented as functions as follows:

[tex]f(5) = 3[/tex]

[tex]f(6) = 4[/tex]

[tex]f(8) = 6[/tex]

Express 6 as 8 - 2

[tex]f(8) = 8 - 2[/tex]

Express 8 as n

[tex]f(n) = n - 2[/tex]

So, the expression that represents the number of triangles is (c) n - 2

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WRITE THE FUNCTION RULE FOR F(X)=-6;X-AXIS

Answers

Answer:

-6 is Y

Step-by-step explanation:

When ever the number is outside of the f(x) it is = y.

i need help fast plz

Answers

Answer:

27/16

Step-by-step explanation:

[tex]12 \div \left(2 + \dfrac 23 \right)^2\\\\\\=12 \div \left(\dfrac 83 \right)^2\\\\\\=12 \div \dfrac{64}9\\\\\\=12 \times \dfrac{9}{64}\\\\\\= \dfrac{3 \times 9}{16}\\\\\\=\dfrac{27}{16}\\\\\\=1\dfrac{11}{16}[/tex]

Which of the following equations could be the equation to represent the given graph? Make sure you explain your answer thoroughly.

Unit 7 Algebra 2a sample work connections academy

Answers

The equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]  

The graph is an exponential function, and it passes through the points:

[tex](x,y) = (1,1)\ (0,2)[/tex]

An exponential function is represented with:

[tex]y = ab^x[/tex]

At (0,2), we have:

[tex]ab^0 = 2[/tex]

This gives

[tex]a(1) = 2[/tex]

[tex]a = 2[/tex]

At (1,1), we have:

[tex]ab^1 = 1[/tex]

[tex]ab = 1[/tex]

Substitute 2 for (a)

[tex]2b = 1[/tex]

Divide both sides by 2

[tex]b = \frac 12[/tex]

Substitute values for a and b in [tex]y = ab^x[/tex]

[tex]y = 2(\frac 12)^x[/tex]

Hence, the equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]

Read more about exponential functions at:

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How can a person best reduce the risk of sustaining permanent injuries?

Wear protective clothing while sleeping at home.
Secure a seat belt only when riding in the front seat.
Wear a cracked bicycle helmet while riding a bicycle.
Put away guns in a lockbox that is secure and in a discrete location.

Answers

Answer:

Put away guns in a lockbox that is secure and in a discrete location.

Have a good day <3

Assume running consumes 93 calories per mile. If you run 8 - minute miles, what is your average power output, in watts?

Answers

774 watts so what he said is right

Average power output, in watts = 0.8103 watts

What is average power?

The average power represents the constant energy that has been used throughout the time of the journey at a constant rate.

It can be expressed by the following relation:

P=E/T

Given,

Energy consumed per mile = 93 calories

Time taken to cover 1 mile = 8 minutes

Energy consumed per minute = 93/8 calories

Average power = 93/8 = 11.625 calorie per minute

1 calorie per minute = 0.0697 watt

Average power output in watts = 11.625 × 0.0697

                                                    = 0.8103 watt

Hence, 0.8103 watt is the average power output in watt.

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PLS SOMEONE HELP ME PLS WITH GEOMETRY

Answers

Answer:

They are congruent by SAS

Step-by-step explanation:

MQ=PN

The angles with markings also go together

The line right in the middle is the second side because of the reflexive property

use order of operations 7-2(-7-4)

Answers

Answer:

29

hope this helps

please help me on this one thx i really need this one.

Answers

Answer:

6 meters

Step-by-step explanation:

Every 7 floors, it goes up by 22.4 meter intervals.

Let's count down,

the 7th floor would be 50.8 - 22.4, which is 28.4.

the 0th floor would be 28.4 - 22.4, which is 6.

Answer:

6

Step-by-step explanation:

Raven can walk 2 2/5 miles in 3/5 hour. At this rate, how far can she walk in 1 hour? You might want to change 2 2/5 to an improper fraction in order to make the math easier for you to do.

Answers

The distance traveled by Raven in 1 hour at the given rate is 4.0 miles.

The given parameters:

Distance traveled by Raven = 2 2/5 milesTime of motion, t = 3/5 hour

The speed of Raven motion is calculated as follows;

[tex]V = \frac{Distance}{Time} \\\\V = Distance\ \times \ \frac{1}{Time} \\\\V = 2\frac{2}{5} \ miles \ \ \times \ \ \frac{1}{3/5 \ hr} \\\\V = \frac{12}{5} \ miles \ \ \times \ \ \frac{5}{3 hr} \\\\V = 4 \ mph[/tex]

The distance traveled by Raven in 1 hour at the given rate is calculated as follows;

[tex]D = 4 \times 1\\\\D = 4 \ miles[/tex]

Learn more about rate and distance here: https://brainly.com/question/1090517

Please help!!!


THE POPULATION OF NEW YORK STATE CAN BE MODELED BY:

Answers

Answer:   19.193

==========================================================

Explanation:

We plug t = 220 into the given function. The 220 is from 2020-1800 = 220, i.e. we have a span of 220 years from 1800 to 2020.

[tex]P(t) = \frac{19.71}{1+61.22e^{-0.03513t}}\\\\P(220) = \frac{19.71}{1+61.22e^{-0.03513*220}}\\\\P(220) = \frac{19.71}{1+61.22e^{-7.7286}}\\\\P(220) \approx \frac{19.71}{1+61.22*0.00044005976972}\\\\P(220) \approx \frac{19.71}{1+0.02694045910226}\\\\P(220) \approx \frac{19.71}{1.02694045910226}\\\\P(220) \approx 19.192933558417\\\\P(220) \approx \boldsymbol{19.193}[/tex]

This indicates that the population of New York state in 2020 is roughly 19.193 million.

This converts to 19,193,000 which is 19 million, 193 thousand.

---------------

Extra info:

According to census data (census.gov), the more accurate population figure appears to be 20,201,249 which is a bit over 20.2 million. The given population function isn't too far off.

Please hurry!! This assignment is almost due thank you!!

Answers

Answer:

x = 33

Step-by-step explanation:

(x-17)°+(5x-1)°=180°

6x-18 = 180

6x = 198

x = 33

Which inequality represents this statement?

The product of −6 and a number is no less than −12.


−6n≤−12

−6n>−12

−6n≥−12

−6n<−12

Answers

Answer:

−6n≥−12

Step-by-step explanation:

The correct inequality to show the given statement is,

⇒ - 6n ≥ - 12

Where, 'n' is any number.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The statement is,

''The product of - 6 and a number is no less than - 12.''

Now, Let a number = n

So, We can formulate the correct inequality is,

⇒ - 6n ≥ - 12

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On Tuesday morning a school cafeteria served 18 gallons of orange juice during breakfast. How many cups are in 18 gallons?

A.288 cups
B.64 cups
C.2,048
D.128 cups

Answers

Answer:

A

Step-by-step explanation:

288 cups did this before

Given that
P
=
x

y
.
Find
P
when:
x
=
15
and
y
=
20

Answers

Answer:

the answer would be -5

Step-by-step explanation:

p=15-20 p=-5

Which of the following decimals is equal to 3 1/40
?


please explain why
3.0025

3.025


3.0250

Answers

Answer:

3.025

Step-by-step explanation:

the answer is 3.025 because 1/40 simplified is 0.025 and add the 3 to get 3.025

Answer: 3.0250

Step-by-step explanation: To convert this mixed number (fraction) to a decimal just follow these two steps:

Step 1: divide numerator (1) by the denominator (40): 1 ÷ 40 = 0.025

Step 2: add this value to the the integer part: 3 + 0.025 = 3.025. So,

3 1/40 = 3.025

Simplify
O A. 6^16
O B. 6
O C. 6^4
O D. 1/6

Answers

the answer for this question is B

What is the solution to the equation 8b+32=104?

Answers

Answer: the answer is b=9

Step-by-step explanation:

Step 1: Subtract 32 from both sides.

104-32= 72

Step 2: Divide both sides by 8.

72 divided by 8 is 9

therefor the answer is 9

NO LINKS!!!

Purchasing a TV that is 30% off will save $250.
a. What is the part, percent, and whole.
b. What is the original price of the TV?

Answers

Answer:

  a. part: $250; percent: 30%; whole: $833.33

  b. $833.33

Step-by-step explanation:

a. The part is given as $250; the percentage that represents is given as 30%.

The whole is the ratio of the part to the percent:

  $250/30% = $250/0.30 = $833.33 . . . whole

__

b. The original price is the "whole" of which 30% is the part.

  original price: $833.33

y = 30.078(1.003)*.
Question 1
? Question
Use the exponential model to make predictions about closing prices of this stock. Remember that x
represents the number of weeks since the first data point, so the value of x today would be 260.
Type the correct answer in each box. If necessary, round the answers to the nearest cent.
One week from today, the stock is predicted to close at $
One month from today, the stock is predicted to close at $
One year from today, the stock is predicted to close at $

Answers

Using the exponential function, it is found that:

One week from today, the stock is predicted to close at $65,734.37.One month from today, the stock is predicted to close at $66,327.75.One year from today, the stock is predicted to close at $76,584.35.

The exponential function is:

[tex]y(x) = 30078(1.003)^x[/tex]

x  represents the number of weeks since the first data point, so the value of x today would be 260.

Hence, considering today as an starting point, the function is:

[tex]y(x) = 30078(1.003)^{x + 260}[/tex]

One week from now, we have y(1), hence:

[tex]y(1) = 30078(1.003)^{1 + 260} = 65734.37[/tex]

One week from today, the stock is predicted to close at $65,734.37.

One month from now, we have y(4), hence:

[tex]y(4) = 30078(1.003)^{4 + 260} = 66327.75[/tex]

One month from today, the stock is predicted to close at $66,327.75.

One year from now, we have y(52), hence:

[tex]y(52) = 30078(1.003)^{52 + 260} = 76584.35[/tex]

One year from today, the stock is predicted to close at $76,584.35.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656

Answer:

One week from today, the stock is predicted to close at $65,734.37.

One month from today, the stock is predicted to close at $66,327.75.

One year from today, the stock is predicted to close at $76,584.35.

Step-by-step explanation:

The backyard of a new home is shaped like a trapezoid with a height of 44 nt and bases of 86ft and 106ft What is the cost of putting sod on the yard, if the
landscaper charges $0.25 por square foot for sod?

Answers

Answer:

Step-by-step explanation:

Area of a trapezoid is the average length of the bases times the height

C = A(0.25)

A = ½(86 + 106)(44) = 4224 ft²

C = 4224(0.25) = $1056.00

What is the relationship between vertices and edges in a pyramid? In a prism?

Answers

Answer: depends on the shape of it but mostly equal

Step-by-step explanation: hope it helps

3/2x-5=-4/7x+1/5 please ​

Answers

The value of x in the equation is 364/145

The equation is given as:

[tex]\frac 32x - 5= -\frac 47x + \frac 15[/tex]

Collect the like terms

[tex]\frac 32x + \frac 47x= 5 + \frac 15[/tex]

Take the LCM

[tex]\frac{21x + 8x}{14} = \frac{25 + 1}{5}[/tex]

Evaluate the sum

[tex]\frac{29x}{14} = \frac{26}{5}[/tex]

Cross multiply

[tex]145x = 364[/tex]

Divide both sides by 145

[tex]x = \frac{364}{145}[/tex]

Hence, the value of x in the equation is 364/145

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Select all statements that are true.

All points on the same plane are congruent.
All points on the same plane are congruent.

All segments on the same plane are congruent.
All segments on the same plane are congruent.

All angle on the same plane are congruent.
All angle on the same plane are congruent.

All triangles on the same plane are congruent.

Answers

Congruence  means equivalence in comparison.

All points on the same plane are congruent. (True)

A point is an exact location .

It can be anywhere on the plane. It has one dimension. The point is always the same.

All segments on the same plane are congruent. (False)

A line segment has two end points.It can be of different length.Two line segments are congruent only if they have the same length.

Without knowing the lengths of different segments these cannot be termed as congruent.                                                                                                                                                                      

All angle on the same plane are congruent. (False)

Two angles can only be the same if they have the same position with regard to parallel lines. Two angles can only be same if they have the same degree of measurement.

All triangles on the same plane are congruent.  (False)

Two triangles are congruent if they have

same lengths of their corresponding sidessame measurements of the three angles of both triangles.

The triangles congruence can also be understood by

https://brainly.com/question/1675117

The angles congruence can also be understood by

https://brainly.com/question/10128662

The line segments congruency can also be understood by the following link

https://brainly.com/question/82457

I NEED HELP FOR MY FINALS PLS N TY!!!

1. Compute the length of a rectangle with a perimeter 40.2 in and width of 6.7 in.​

Answers

Answer:

13.4

Step-by-step explanation:

You would take the width x 2 which is 13.4. Now you subtract the combined width from 40.2. From here you are left with 26.8. Since this is a rectangle the length would be the same on both sides. You divide 26.8 by 2 and you get 13.4.

IF CAR A TRAVELS AT 45 MI/HR CAR B LEAVES 15 MINUTES LATER TRAVELING AT 60 MI/HR WHEN WILL B CATCH UP TO A

Answers

Takes an hour for B to catch up to A.
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