The least measurement is the sequence is 128. The greatest measurement is 172. Find the number of sides in this polygon given the sum of the measures is equal to 180 (n-2) degrees

Answers

Answer 1

Answer:

the number of sides is 12

Step-by-step explanation:

The computation of the number of sides in the polygon is shown below:

As we know that

S_n = n ÷ 2 (a_1 + a_n)

= n ÷ 2 × (128 + 172)

= 150 n

Now given that the sum of the measures = 180 (n - 2)

So,

Sn = 180 (n - 2)

150n = 180n - 360

30n = 360

n = 12

Hence, the number of sides is 12


Related Questions

Jordan earned $200 this month delivering newspapers. His mom said he must put 20% into his savings account. He wants to buy headphones that cost $ 99.95 and two shirts that cost \$17 each. He also has to pay 7% sales tax on his purchases . Jordan said, "No problem. I will put 20% into savings , buy the things I want, and still have about $10 left." Use estimation to determine if Jordan's calculation is reasonable. Show your work.

Answers

Answer:

Yes, his calculation is reasonable. He will have about $16.67 left.

Step-by-step explanation:

200 - (200 * .2) = $160 Subtract money for savings

99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 Add taxes

160 - 143.33 = $16.67 Subtract money for purchases from money left after savings

What is 5600 in expanded from

Answers

The expanded form of a number is every digit with its own zero's and its own SINGLE digit. For example, the expanded form of 12 is 10+2=12, or the expanded form of 13498 is 10000+2000+400+90+8=13498.

We can now figure out that 5600 in expanded form is 5000+600+00+0=5600, but the extra 00+0 is not neccessary, so our final answer is 5000+600=5600

:)

What are the solutions to the system of equations? y=2x^2−6x+3 y=2x+3

Answers

Answer:

Step-by-step explanation:

y=2x²-6x+3

y=2x+3

2x²-6x+3=2x+3

2x²-6x+3-2x-3=0

2x²-8x=0

2x(x-4)=0

x=0,4

y=0+3=3

and y=2(4)+3=11

so solutions are (0,3) and (4,11)

victor is keeping track of winter temperatures for a project. yesterday the thermometer read 12°F, and today the temperature has dropped 7°F. he wants to determine the temperature today. which operation should he use to solve this problem?

A) addition

B) subtraction

C) multiplication

D) division​

Answers

he should use subtraction
since the temperature DROPPED

Answer: subtraction

Step-by-step explanation:

i did the assignment.

fraction 7/10
percentage ​

Answers

Answer:

70%

Step-by-step explanation:

7/10 = 0.70 x100 = 70%

7/10= .7 and to convert that to a percentage just multiply it by 100. .7x100= 70. Answer is 70%

Which three of the following sets of angle measures could represent the measures of the angles of a triangle? ​

Answers

To figure this out we keep in mind two rules

1. A triangles sum of angles is 180

2. An angle of a triangle can not be 0

So the answer is the following

2, 3 & 4

(っ◔◡◔)っ ♥ Hope It Helps ♥

Emilio has to run 71
2
miles every week to train for the football team. If he runs 11
2
miles every day, how many days will
it take him to run 71
2
miles?



It will take Emilio
days to run 71
2
miles.

Answers

Answer:

7 days or, more specifically 7.455 days

Step-by-step explanation:

71 miles divided up into groups of 11

71 mi. ÷ 11 mi. at a time

71 ÷ 11 = 6.455

rounds up to 7 days

6 days will it take him to run 712 miles.

What is division?

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Given

Emilio has to run 712 miles every week to train for the football team.

If he runs 112 miles every day

Based on the given conditions

= [tex]\frac{712}{112}[/tex]

= 6.35

≅ 6 days

Thus, 6 days will it take him to run 712 miles.

Find out more information about division here

https://brainly.com/question/1575906

#SPJ3

In circle D, line AB is perpendicular to line CD. Use the diagram to answer a-b. Leave answers in radical form when necessary.

Answers

Answer:

AB = 48

AD = 7√2

Step-by-step explanation:

since AD - 26, DB = 26 and DC = 26

AE² = 26² - 10² = 676 - 100 - 576

AE = √576 = 24

AB = 2 x 24 = 48

If arc BC is 45°, then ∠BDC = 45°

AD² = 7² + 7² = 49 + 49 = 98

AD = √98 = 7√2

i dont know how to do this question

Answers

9514 1404 393

Answer:

  7 1/3 hours

Step-by-step explanation:

We are to assume that the total number of heater-hours required is a constant. That is, the time is inversely proportional to the number of heaters.

If the number of heaters goes up by a factor of 6/4 = 3/2, then the number of hours will go down by the inverse factor: 2/3.

With 6 heaters instead of 4, the time required is (2/3)(11 hours) = 7 1/3 hours.

One airplane is approaching an airport from the north at 164 km/hr. A second airplane approaches from the east at 271 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 28 km away from the airport and the westbound plane is 17 km from the airport.

Answers

Answer:

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Step-by-step explanation:

The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where:

[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.

[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.

By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:

[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

Where:

[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.

[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.

If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\dot r \approx -316.760\,km[/tex]

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

⛔️NO LINK JUST WANT ANSWER NONE OF THAT BIT.L STUFF⛔️The biggest frog on record
is the goliath frog. These
frogs can be up to 3.3
kilograms and can jump a
distance of 3 meters. If the
goliath frog was found i
km from the nearest water,
about how many jumps
would he have to take to
get a drink?, JUST TYPE THE ANSWER NO FILES

Answers

Answer:

The answer would be 333.334 jumps.

Step-by-step explanation:

So remember, there are 1000 meters in 1 kilometer. The frog can jump 3 meters. The nearest water is 1 kilometer. So, lets divide 1 km(1000m) by 3m:

1000/3

=

333.34

This is the answer.

Hope this helps!

In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.

Answers

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

[tex]tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16[/tex]

Therefore, the length of ac is 16.

             

6. Coach Medina bought uniforms for the 10 players on his soccer team.
Each shirt cost $12.50. Each pair of shorts cost $13.50. What was the total
cost for the 10 team uniforms?

Answers

Answer: $260

Step-by-step explanation:

Uniform = shirt + shorts

($12.50 x 10) + ($13.50 x 10) = $260

or

($12.50 + $13.50) x 10 = $260

What are skew lines in geometry and how do you
identify skew lines?

Answers

Step-by-step explanation:

Skew lines are two or more lines that do not intersect, are not parallel, and are not coplanar. (Remember that parallel lines and intersecting lines lie on the same plane.)

how do you work this?

Answers

Answer:

x = 60

Step-by-step explanation:

That square on the angle means 90 degrees so since the other angle is 30 that means x has to be 60

Tim deposits $4,000 into each of two savings accounts.


• Account I earns 3% annual simple interest.
• Account II earns 3% interest compounded annually.


Tim does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 2 years?


$8,480
$8,480

$8,483.60
$8,483.60

$8,487.20
$8,487.20

$8,240

Answers

Answer:

I think its $8,480 if not I'm sorry

Answer:

8483.60 I had this question too and decided to help you.

TExit Statistics & Probability - 1/5 The Jackson family has 4 kids, 4 boys and 0 girls. Suppose that for each birth, the probability of a boy birth is 1/2, and the probability of a girl birth is also 1/2. What is the fractional probability of having 4 boys and 0 girls, in any order, in a family's first 4 births?

Answers

Answer:

The fractional probability of having 4 boys and 0 girls, in any order, in a family's first 4 births is 1/16

Step-by-step explanation:

Total number of kids in Jackson family = 4 (4 boys and 0 girls)

Probability of having a boy = 1/2 =0.5

Probability of having a girl = 1/2 =0.5

Fractional probability of having 4 boys and 0 girls in any order

(1/2*1/2*1/2*1/2) + 0

= 1/16

Someone plz help me

Answers

Answer:

13

------

28

I think that's the answer

how do you interpret 6.0 in graph​

Answers

Answer:

go six units on the x-axis and move no spaces up or down.

Step-by-step explanation:

What is an equivalent expression for 1.5(3x + 4) + 0.25(6x + 8)?


x +

Answers

Answer:

6x+8

Step-by-step explanation:

Answer:

6x+8

Step-by-step explanation:

i just got i right

which function has the largest rate of change?
O Y = 2
X
1
6
3
12
5
18
y
15
y=
0
1
2.5
WN
3
1.5
y
3

Answers

Answer:

The second one.

Step-by-step explanation:

For first function y = 2x the rate of change = 2.

Second function: rate of change = (12-6)/(3-1) = 6/2 = 3

Third: it's -0.2.

Fourth: it's  (2.5 -3)/ 1= -0.5.

What is the median of the data?

Answers

Answer:

B) $143

Step-by-step explanation:

Need help on this question asap pleasee

Answers

Answer:

4th option

Step-by-step explanation:

The chord- chord angle 67.5° is half the sum of the arcs intercepted by the angle and its vertical angle, that is

67.5 = [tex]\frac{1}{2}[/tex] (x + 90)

How many cubic feet will it take to fill the prism below?

A.560

B.280

C.480

D.210

Answers

Answer:

580

Step-by-step explanation:

I wanted to use the Pythagoras theory but I noted that they've given us the hypotenuse which is 8.6 they have already given us the height is 7 and the base is 5 when you use the Pythagoras theory you'll find that there hypotenuse is 8.6 that's why I wrote forget it there's no need of finding the base and the height for the other triangle just transfer 7 and 5 then calculate the volume I guess I got the answer is 580 hope it helps you good day.

PLEADE HELP I WILL MARK YOU AS BRAINEIST

Answers

Answer:

83

Step-by-step explanation:

a = 25

The biggest angle is (3a+8) = 83

Answer:

83

Step-by-step explanation:

(3a+8)+(60-a)+(4a-38)=180

combine like terms, 6a+30=180

inverse operation to isolate the variable, 6a=150

divide six on both sides, a=25

replace a in every expression, 3(25)+8=83

60-25=35

4(25)-38=62

83 is biggest out of the three, therefore 83 is the answer.

find the measure of the missing angle

Answers

Answer:

28 i think [⩾▾⩽]

Step-by-step explanation:

since this is a right angle, all you have to do is subtract 62 from 90 because a right angle is equal to 90 degrees.

hope this helps^^

have a great day :D

Right angle = 90 degrees
90 - 62 = 28

a = 28 degrees

List the angles in order from largest to smallest

Answers

Answer:

Option A is correct one

The opposite angle is equal to its side

Side ab>ac>cb

angle C >B >A

So you can go with it

If you are helped with my answer pls tag me brianliest

THANK YOU........

can someone help me with this please

Answers

Answer:

i have done this so its 2

Step-by-step explanation:

the answer to this is 4 !!

If y equals 14, what does x equal in the following equation?
у = 3х - 7

1) x = 4

2) x = 5

3) x = 6

4) x = 1

Answers

Answer: the answer choices listed above are wrong the correct answer would be 7

Step-by-step explanation:

Y=3x - 7
14 = 3x-7
14+7 =3x
21/3=x

Then, x = 7

Jason is installing new carpet In a room. The dimensions of the room are shown in the diagram.
12 ft
20 ft
30 ft
20 ft
10 ft
32 ft
What is the area of the floor?

Answers

Answer:

46080000

I think you didnt give the dimensions right so I had to get them

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