Item 4 The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x. An equation is =540. The solution is x= .

Item 4 The Sum Of The Angle Measures Of The Polygon Is 540. Write And Solve An Equation To Find The Value

Answers

Answer 1

Let's set the sum of the angle measures equal to 540 degrees.

139 + 3x + 5x - 10 + 10x - 9 + 3x = 540

Let's combine like terms.

21x + 120 = 540

Subtract 120 from both sides.

21x = 420

Divide both sides by 21

x = 20


Related Questions

Given M is the midpoint of PQ with PM = 1/2x + 5 and PQ = 26, find x.
Yeah

Answers

Answer: x = 16

Step-by-step explanation:

PQ = 26

PM = 1/2 PQ (M is midpoint of PQ)

PM= 1/2x + 5 = 1/2 * 26

or x = 2(13 - 5) = 16

The value of x is 16 units.

What is a midpoint of a line ?

The midpoint of a line is the point which divide a given line in two equal parts.The formula for midpoint is Mₓ = (x₁ + x₂)/2 and Mₙ = (y₁ + y₂)/2.

(here y is replaced by n).

According to the given question Given M is the midpoint of PQ with PM = 1/2x + 5 and PQ = 26 and we have to find x.

As M is the midpoint of PQ with PM = 1/2x + 5 then MQ can also be represented by 1/2x + 5.

We know

PM + MQ = PQ

1/2x + 5 + 1/2x + 5 = 26.

x + 10 = 26.

x =16.

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Order these rational numbers from least to greatest: -1 8/9, -1.68, , -1.98, -0.9

Answers

Answer:

Least to Greatest

-1.98, -0.9, -1 [tex]\frac{8}{9}[/tex], -1.68

Step-by-step explanation:

In the case of negative numbers the "larger" the number is, the least it is. For the fraction I just tossed 8/9 into my calculator to get the decimal version that way I could put it in order accuratly.

Convert this rate to feet per second. Round your answer to nearest tenth the average speed of a car on a stretch of the interstate is 70 miles per hour.

Answers

Answer:

102.66666667 feet/ seconds

Step-by-step explanation:

From the question, we are told to convert 70 miles per hour to feet per second.

Step 1

1 mile = 5280 feet

70 miles = x feet

Cross Multiply

1 mile × x feet = 5280 feet × 70 miles

x feet = 5280 feet × 70 miles

x feet = 369600 feet

Hence, 70 miles = 369600 feet

Step 2

We convert 369600 feet/ hour to feet per second

60 seconds = 1 minute

60 minutes = 1 hour

1 hour = 60 × 60

= 3600 seconds.

369600 feet/ 1 hour = 369600 feet/3600 seconds

= 102.66666667 feet/ seconds

Therefore, 70 miles per hour is equivalent to 102.66666667 feet/ seconds

Two lines are intersected by a third line.

Two horizontal parallel lines are intersected by a third line. The third line intersects the top line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. The third line intersects the bottom line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7.
If Angle2 Is-congruent-to Angle6, which must be true about Angle2?

Angle2 Is-congruent-to Angle5
Angle2 is complementary to Angle5.
mAngle2 = mAngle8
Angle2 is supplementary to Angle8.

Answers

Answer:

Angle2 is supplementary to Angle8.

If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8.

What are Congruent Angles?

This refers to the type of angle where two different angles are said to have equal measure on their corresponding sides.

With this in mind, we can see that based on the two horizontal parallel lines are intersected by a third line, there is a third line that intersects the top line and forms four angles.

Hence, if If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8 because the sum of either angles is 180 degrees.

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-6 - (-6) +7+ (-4) + (-1)
What’s the answer of this?
13 pts !

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i just did the question on my test!

expanding polynomial functions using binomial theorem or pascals triangle

Answers

Answer:

The formula for Pascal's Triangle comes from a relationship that you yourself might be able to see in the coefficients below.

(x + y)0 (x + y)1 (x + y)² (x + y)3 (x + y)41 x + y x² + 2xy + y² x3 + 3x2Y + 3xY2 + y3 x4 + 4x3Y + 6x2Y2 + 4XY3 + Y4

HOPE THIS HELPS!

consider the sequence -5,1,7,13,19,25 write a recursive definition and a general formula for this sequence

Answers

Answer:

Formula: n+6

In mathematics, a recursive definition is used to define the elements in a set in terms of other elements in the set. 

Nate wants to visit his friend max before going to the park. Nates house is located at (-2,4), while the park is located at (10,2) find the location of macs house if it’s 1/2 of the distance from Nates house to the park

Answers

Answer:

(5,1)

Step-by-step explanation:

if macs house if it’s 1/2 of the distance from Nate house to the park then half the distance of 10,2 is 5,1

The required coordinate of the max location is (4, 3).


Given that,
Nate wants to visit his friend max before going to the park. Nate's house is located at (-2,4), while the park is located at (10,2).
To find the location of macs house if it’s 1/2 of the distance from Nate's house to the park.

What is the midpoint?

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,
Max lies 1/2 the distance of Nate and Park,
Location of max is given by,
= 10 - 2 / 2 and 4 + 2 / 2
= 8 / 2 and 6 / 2
= 4 and 3
Location of max is (4, 3)

Thus, the required coordinate of the max location is (4, 3).

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x + 3y = 25
2x + y = 15

Answers

Answer: x=4 and y=7

Step-by-step explanation: x+3y=25

x+3y+−3y=25+−3y(Add -3y to both sides)

x=−3y+25

Find the coordinates of the midpoint of XY for X(-2,3) and T(-8,-9)

Answers

Answer:

Midpoint of XY = ( - 5, - 3)

Step-by-step explanation:

[tex]Midpoint \: of \: XY \\ = \bigg( \frac{ - 2 + ( - 8)}{2}, \: \frac{3 + ( - 9)}{2} \bigg) \\ = \bigg( \frac{ - 2 - 8}{2}, \: \frac{3 - 9}{2} \bigg)\\ = \bigg( \frac{ - 10}{2}, \: \frac{ - 6}{2} \bigg)\\ Midpoint \: of \: XY = ( - 5, \: - 3)[/tex]

WILL MARK BRAINLIEST
If a + b = 10, and ab = 16, then find the value of the following: i .a2 + b2 ii. a3 – b3

Answers

Answer:

a² + b² = 68

a3 + b3 = 520

Step-by-step explanation:

Given :

a + b = 10 (1)

ab = 16 (2)

A. Find a² + b²

(a + b)² = a² + 2ab + b² (3)

Substitutite the values of (1) and (2) into (3)

(10)² = a² + 2(16) + b²

100 = a² + 32 + b²

Subtract 32 from both sides

100 - 32 = a² + b²

a² + b² = 68

B. a^3 + b^3

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

(10)^3 = a^3 + b^3 + 3*16(10)

1000 = a^3 + b^3 + 480

a^3 + b^3 = 1000 - 480

a3 + b3 = 520

Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to
serve the drinks. If x represents the number of glasses of iced tea and y represents the number of
glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

Answers

Answer:

80=x+y

Step-by-step explanation:

The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.  

Find the volume of the triangular prism​

Answers

Answer:

your weight loss will help your child get through to your doctor if your child is a si and he's a doctor or 6or a child or an adult or an adult child and you can get in the way I want

F(x)=(x-4)^2

evaluate -2

Answers

Answer:

does that mean x=-2? because if so then:

F(x)=36

Step-by-step explanation:

(-2-4)^2

-6^2

36

F(x)=36

There are 32 classmates that are going to the fair. Each ticket costs $19. What is the total amount the classmates spend for tickets? Use mental math.

Answers

Answer:

32 classmates and each classmate pays $19 per ticket. This is a multiplication problem. We can solve this a couple of ways:

 

  32

*19

-------

288

320

-------

608

 

Another way is to realize 19 is nearly 20, multiply 32 by 20 and then subtract 32:

 32

*20

------

640

 

640

-32

-----

608

So, the answer is $608

Answer:

$608

Step-by-step explanation:

The answer is $608 because each ticket costs $19 and 32 students are going to the fair. Therefore, it's 32 x 19 = 608.

Hope this helps!

The end points of cd are given.find the coordinates of the midpoint M. C(-4,7) and D(0,-3)

Answers

Answer:

M=(-2,2)

Step-by-step explanation:

Xm= -4 + 0/2 --> -4/2

Ym= 7 + -3/2 --> 4/2


A scientist claims that Fabric A is better able to resist fire than Fabric B.
Which option describes an experiment that will produce evidence that will
support or refute her claim?
O A. Make detailed measurements of each type of fabric to determine
the thickness of their fibers.
B. Measure how long it takes for a specific amount of Fabric A to
burn up completely.
O C. Hold each type of fabric over a candle flame and time w long it
takes for the fabric to start to burn.
O D. Combine Fabric A and Fabric B and measure the temperature at
which they start to burn.

Answers

The answer is C.

The question is asking you to find an option that "supports" or "refutes" her claim. In option C, you have to hold the fabrics above a candle to see how long it will take to burn. This way of proving her hypothesis can either go good or bad (support that Fabric A resists better or refute her claim and Fabric B resists fire better).

Best of Luck!

Answer:

A scientist claims that Fabric A is better able to resist fire than Fabric B.

option describes an experiment that will produce evidence that will support or refute her claim is:

C. Hold each type of fabric over a candle flame and time w long it.

What is 9 to the power of 3

Answers

Answer:

729

Step-by-step explanation:

Go on a calculator and do 9^3 and thats your answer!

Answer: 729

Step-by-step explanation: 9 x 9 = 81  So 81 x 9 = 729

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Which of the following are solutions to |x-1|= 5x + 2 ? Check all that apply.

Answers

Answer:

x = -1/6, x = -0.16

Step-by-step explanation:

To play indoor soccer at the Sun Oaks Club, you must pay a $100 membership
fee, plus $10 for each hour you use the facilities. a) The function f represents the
cost of playing soccer at Sun Oaks depending on how many hours you play. The
function g represents the cost if the hourly rate were halved. Write each
function. *​

Answers

Given that:

Membership  feet to play indoor soccer at the Sun Oaks Club = $100

Hourly rate = $10

To find:

The function f represents the  cost of playing soccer at Sun Oaks.

Here, fixed cost is $100.

Let the number of hours of playing be t.  So, total variable cost is $10t.

Total cost = Fixed cost + Variable cost

[tex]f(t)=100+10t[/tex]

So, the required function is [tex]f(t)=100+10t[/tex].

Now, if the hourly rate were halved. Then,

Hourly rate [tex]= \$ \dfrac{10}{2} = \$ 5 [/tex]

So, total variable cost is $5t and total cost function is

[tex]g(t)=100+5t[/tex]

So, the required function is [tex]g(t)=100+5t[/tex].

Change the following rate into a unit rate: $12/6 burgers.​

Answers

Answer:

$2/1 burger

Step-by-step explanation:

You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1


Suppose A and B are points. How many distinct lines contain both A and B?
оо
1
2
3
infinitely many

Answers

Answer:

The correct option is;

1

Step-by-step explanation:

A line in geometry is an array of points that lay on the path of a ray and extends along the ray path in both directions infinitely, while a point in geometry marks a location

Therefore, given that the points A and B are on the same line, and are therefore on the same ray that gives the direction of the line, the number of distinct lines that can contain the both A and B, given that the original line extends to infinity in both direction is 1.

If m = 3 and b = 6, what is the correct slope intercept equation?
a. y = 3 - 6.
b. y = 3x - 6.
c. y = 3x + 6.
d. y = 6x + 3.

Answers

The answer is c because y=mx+b

Find the coordinate of the midpoint of the segment formed by the given points: (7, 11) and (3, -5)

Answers

Answer:

[tex]MP = (5,3)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2}) (\frac{y_1+y_2}{2} )\\MP= (\frac{7+3}{2}) (\frac{11+-5}{2} )\\MP= (\frac{10}{2}) (\frac{6}{2} )\\MP= (5,3)[/tex]

HELPPPP I MARK BRAINLIEST TO CORRECT ANSWERS

Answers

Answer:

I think B option is correct ..I m 95% sure

Answer:i

the correct option is A

First we have to convert the 3 whole 8 /33 into a fraction so the method to do that is 33*3 =99 and then 99 +8 = 107 .The denominator will remain the same so we get 107 /33.Now by dividing 107 by 33 we get 3.242424

Factor the following polynomial completely. x²n - y²n

Answers

Answer:

(n)*(x+y)(x-y)

Step-by-step explanation:

First of all, you take the n out, and then you use the formula of x²- y² and it will equal to (x+y)(x-y).

Answer:

n(x+y)(x−y)

Step-by-step explanation:

1. To factor this equation, first, you can see that both the x^2 and the y^2 have an n next to them.  So, you can take out the n.  You get this: n(x^2-y^2)

2. After you take the n out, you can also factor the (x^2-y^2) since they are both squared (to the second power).  To do this, you simply split the two apart and make sure to include the negative.  You get this, the final answer:

n(x+y)(x-y)

3. You can check it by multiplying out the answer, and once multiplied out, you get the original expression of x^2n-y^2n.

Hope this helped!  Feel free to ask any questions :)

sin

sin 70°/cos20°+cosec36°/sec54°-2cos43°cosec47°
HELP PLEASS FAST​

Answers

Answer:

-2.59x10^15

Step-by-step explanation:

Red blood cells need iron. They store iron and typically contain more iron than the fluid around them does. Which
action would show the blood cells doing active transport?
O pushing iron out
O bringing iron in
O swelling
O shrinking

Answers

Answer:shrinking

Step-by-step explanation:

Answer:

bringing iron in

Step-by-step explanation:

hoped this helped let me know if it did

A letter in the word UNIVERSITY is chosen. What is the theoretical probability of choosing an I? *

Answers

Answer:

There is a 1 in 5 chance that the letter will be I.

Step-by-step explanation:

There are ten letters in the word and 2 are I's. 2/10 simplifies to 1/5.

Answer:

2/10 or 20%

Step-by-step explanation:

if you were to pick at random

out of all i would have a 20 percent chance to be chosen

100 is how many more times than 10

Answers

100 is 10 more times than 10, because 10 times 10 equals 100. I hope this helps!

Answer:

10 times greater, because 10x10=100

Step-by-step explanation:

Other Questions
Write each product as a power 6x6x6x6 if u help me youll get a cookie ^ Using a portion of her savings as a down payment, Sarah bought a new car in order to commute to her new job, reducing her savings account to only $2220. From her expendible income of $2440, essential expenses (fixed) are $1010 per month, essential expenses (flexible) are $500 per month, and nonessential expenses are $430 per month. Sarah has decided to reduce her nonessential expenses for 9 months to only $230 per month, in order to build her savings back up to $5820. Then she will return her nonessential expense budget to the original $430 per month. Choose the reason or reasons why Sarah would spend less money every month temporarily in order to have this fund. I. She realizes the importance of having an emergency fund. II. She wants to build up her retirement account. III.She understands that reducing expenses can increase savings. a. I b. II and III c. I and III d. II The part of the gene that is designated as 1 is also known as:________. . A certain medication is set to deliver through an IV at a rate of 3.0 mg/min. What is this rate in mg/s? !!!!PLEASE HELP!!!!! 20 pointsThe local ice cream parlor bought 100 half gallons of gelato for $2.40 per half gallon and stored it in two freezers . One freezer broke, ruining 14 half gallons. If the remaining gelato is sold for $3.96 per half gallon, how much profit will the parlor make? Remember to include a dollar sign in your answer . Points P and Q are plotted on a line.1. Find a pointR so that a180-degreerotation withcenter Rsends P toQ and Q toP Round 97.081 to the nearest tenth Density is a chemical property of matter.TRUEFALSE Using words, express x< 7 Which quadrant is (-13, -12) located? The film Armageddon is what type of allusion?A. HistoricalB. Popular cultureC. ReligiousD. Mythological How do modern political strategies, such as online petitions, impactelected officials?Personal access to elected officials is limited Which European country tookthe lead in maritime expansion? Question: Determine what the constant, coefficient, and variable are in the expression 7-25f. Which phrase best completes this diagram?The New JerseyPlan for thefederalgovernment?Favored bysmaller statesO A. Provided for an executive branch to enforce federal lawsO B. Created a strong federal governmentO C. Gave Congress veto power over state lawswsO D. Called for equal representation for each state in Congress What is 2.1 x 10^6 + 6.2 x 10^7 in scientific notation simplify the expression n^3 3n Mel and Rob set the alarms on their phones to sound at 6:45am.Both alarms sound together at 6:45amMels alarm then sounds every 9 minutes.Robs alarm then sounds every 12 minutes.At what time will both alarms next sound together? Simplify i12. 1 1 i i Greg receives the following scores on his math tests: {90, 83, 78, 95}. What is the minimum score he needs on the last math test in order to get an 85 average in the class?