NASA's InSight is a robotic lander designed to study the deep interior of Mars. The solar panels on InSight are shaped like regular decagons. Find the measure of each interior angle of the solar panels. Then find the measure of each exterior angle.
Interior angle: ?


Exterior angle: ?

Answers

Answer 1

An interior angle of a regular decagon is given by the formula (n-2) * 180 / n, where n is the number of sides. Since a decagon has 10 sides, the measure of each interior angle is (10-2) * 180 / 10 = 160 degrees.

The measure of each exterior angle of a regular polygon is given by the formula 360 / n, where n is the number of sides. So in the case of a decagon, each exterior angle measures 360 / 10 = 36 degrees.


Related Questions

Two angles of an isosceles triangle are X and (X+10) .find two possible values of X.

Answers

Answer:

Step-by-step exp

X+x+(x+10)=180

3x+10=180

3x=180-170

x=56.666666degrees.

Case 2

x+(x+10)+(x+10)=180

3x+20=180

3x=160

X=53.333333

i hope the answer is help ful

When two angles of an isosceles triangle are given in the form of x, then the value of a single angle can have two possible outcomes those are:

X can be [tex]56.66^\circ[/tex]X can be [tex]53.33^\circ[/tex]

Given,

Two angles: X and [tex]\rm{X}+10[/tex]

As we know in an Isosceles triangle, the sum of all the angles is equal to[tex]180^\circ[/tex] and any of the two angles can be equal.

There can be two possible outcomes:

Case 1. When the two equal angles are X

[tex]\begin{aligned}\text{X}+\text{X}+(\text{X+10})&=180\\3\text{X}+10&=180\\3\text{X}&=180-10\\\text{X}&=\dfrac{170}{3}\\\text{X}&=56.66^\circ\end{aligned}[/tex]

Case 2: When the two equal angles are [tex]\rm{X}+10[/tex]

[tex]\begin{aligned}\text{X}+(\text{X}+10)+(\text{X}+10)&=180\\3\text{X}+20&=180\\3\text{X}&=180-20\\\text{X}&=\dfrac{160}{3}\\\text{X}&=53.33^\circ\end{aligned}[/tex]

Therefore, the two possible values of X can be [tex]56.66^\circ[/tex] and [tex]53.33^\circ[/tex]

To know more about the angles of the isosceles triangle, refer to the link:

https://brainly.com/question/12105959

The McMillians noticed that the amount of natural gas they use at their house each month is related to the average monthly temperature, as shown in this scatter plot. The slope of the line best fit -2.5 therms per degree. Which explains how the slope can be interpreted?
(PLEASE HELP ME, i don’t understand it!)

Answers

Answer:

Its B

Step-by-step explanation:

For each increase of 10° the amount of gas used is about 25 therms less

5.

Write a rule for the linear function in the table.


A. f(x) = x – 4

B. f(x) = x – 5

C. f(x) = 3x

D. f(x) = x + 4

Answers

Answer: my answer.... A. f(x) = x - 4

Answer: all on brainly

f(x) = –4x is a function rule for the table.

Step-by-step explanation: all on brainly

f(x)=x-4 is the answer i believe

Answer :

The function is  

Step-by-step explanation:

Given values in table :

x        f(x)

3         -1

4          0

5          1

6          2

Here we see there is a difference of 4 in the values of x and f(x)

i.e. 3-(-1)=4

or 4-0=4

Similarly 5-1=4

6-2=4

So x-F(x)=4

Adding F(x) -4 both sides

x-F(x) +F(x) -4=4+F(x) -4

We have F(x)= x-4

Step-by-step explanation: someone's brainly answer

A. f(x) = x - 4

Are all numbers divisible by 3 also divisible by 9, and are all numbers divisible by 9 also divisible by 3 ?

Answers

Answer:

yes

Step-by-step explanation:

why cause i had A+ in there

what is the value of x ??

Answers

Answer:

the answer ia A:8

Step-by-step explanation:

hope this helped :)

Answer:

it is b 12

Step-by-step explanation:

-5, -5.2,5.5,-51/2,-5/2
Least to greatest

Answers

Answer:

-5 1/2,      -5.2,  -5,    -5/2,    5.5

Step-by-step explanation:

Jen rode her bike
1
5
of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?

Answers

Answer:

2.4 miles per hour

Step-by-step explanation:

1/5 of a mile is 0.2 miles. If 0.2 miles is 5 minutes, then 0.04 miles is 1 minute, as you divide 0.2 by 5. 0.04 miles per minute=2.4 miles per hour as you times 0.04 by 60.

Of the 600 sixth graders at Melville Middle School, 80% want more field trips. How many students want more trips?

Answers

Answer:

480

Step-by-step explanation:

CAN YOU READ THIS AMD IF YOU CAN HELP ME!!!!! THIS CRAZY I NEED PROFESSIONAL!!!!!!!!!!!!!

Answers

Answer:

1.x=-3,-4

2.A

3.-3,-5

4.C

5.A

6.C

7.D

8.C

Step-by-step explanation:

Benjamin bought a 3- pound bag of flour for 6.95. What is the unit price per ounce of flour? (1 pound =16 ounces)

Answers

Answer:

$0.145/ounce

Step-by-step explanation:

Find the unit price by dividing $6.95 by 3 pounds and then multiplying the result by (1 pound)/(16 oz):

$6.95     *    1 pound

------------------------------- = $0.145/ounce

(3 pounds) * (16 oz)

does this table represent a liner or nonlinear function

Answers

Answer:Nonlinear

Step-by-step explanation:

The ratio is 1:8 meaning if you divide the second part by 8 it should get you the first part but 16/8 is 2 not 3 therefore it is not linear

properties of rectangle
and your free fire id

Answers

Answer:

i am not play free fire

muje school dhyan nahi ate eseleye

8/9i+12=2/9i+34 (solve for i)

Answers

Answer: I=33

Step-by-step explanation: hope this help

1. {2, 7, 14, 12, 13, 21, 12, 12, 6, 8, 12)
Mean -
Median -
Mode -

Answers

Step-by-step explanation:

mean is when you add all of them up and then divide by how many numbers there are.

median is the number In the middle .the middle number is 21 .

mode : number that appears the most . answer is 12

Find the missing side. Round to the nearest tenth.
55°
20
16.4
244
163
23.0

Answers

Answer:

16.4

Step-by-step explanation:

sin 55 = x/20

x = 20 sin 55 = 16.4

The answer is 16.4 hops this helps

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe

Answers

Answer:

44 ounces

Step-by-step explanation:

Multiply

3 2/3 x 12

11/3 x 12 = 11 x 12 / 3 = 132/3

convert

44 ounces

Hope this helps ^-^

The temperature ws 56 degrees this morning but dropped one degree per hour through
the rest of the day. Write an equation in slope intercept form to represent the situation.
O y = 5.50x + 20
O None of the other answers are correct
O y = 65x
O y = 60x + 300
O y = -x + 56

Answers

Answer:

y=-x+56

Step-by-step explanation:

A linear equation is an equation in which each term has at max one degree. The correct option is D, y = -x + 56.

What is a linear equation?

A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form,

y = mx + c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

Given that the temperature was 56 degrees this morning but dropped one degree per hour through the rest of the day. Therefore, an equation in slope intercept form to represent the temperature of the day at any given hour is,

y = 56 - x

y = -x + 56

Hence, the equation in slope intercept form to represent the temperature of the day at any given hour is y = -x + 56.

Learn more about Linear equations:

https://brainly.com/question/27465710

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The amount paid for different weights of oranges at a farmer's market are shown below (A) is the relationship between the price and the weight of the oranges proportional?

Answers

The amount paid for different weights of oranges at a farmer's market are shown below (A) is the relationship between the price and the weight of the oranges proportional?

Oranges (lb) Price ($)

2--------- $3

3--------- $4.50

5--------- $7.50

Answer:

proportional relationship. Exist

Step-by-step explanation:

To check for propottionality:

2 = 3k

Solve for k = constant of proportionality

2/3 = 3k/3

2/3 = k

Quantity at price = 4.50

Price * k = quantity

4.50 * 2/3 = 3

Quantity at price = 7.50

Price * k = quantity

7.50 * 2/3 = 5

Hence, proportional relationship. Exist

Drag numbers to show which are closest to ‐1 and ‐14 on the number line.


A number line from negative 1 to 1 in fourths.

Closest to ‐1
Closest to ‐14

Answers

The closest number to -1 from the given options is -0.82

The closest number to -1/4 from the given options is -0.28

How to Interpret Number Lines?

A number line is a visual representation of numbers on a straight line. This number line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.

Now, from the number line given we want to find the numbers that are closest to -1 and -1/4.

The closest number to -1 from the given options is -0.82

The closest number to -1/4 from the given options is -0.28

Read more about Number Lines at; https://brainly.com/question/4727909

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question: which angles are vertical angles?

Answers

6 and 7 are vertical.

5 and 8 are vertical.

Answer:

<AOD, <BOC And <DOC ,<AOB

A bakery made 1, 575 butter cookies. After arranging the cookies into packages, the bakery did not have any cookies left. How many cookies could have in each package? *
1 point
A. 6
B. 5
C. 9
D.4​

Answers

Answer:

B. 5 might be the answer.

Answer: Either B. 5 or C. 9

Explanation: Assuming there would be the same amount of cookies in each package, to see if they would all fit perfectly and there be no leftover cookies, simply divide 1,575 (the number of total cookies) by how many cookies could be in each package. If it comes out with "point something," then the numbers after the decimal point would be how many cookies will be leftover. 5 and 9 both end up with no decimal, so that's as much as I know.

a woman is 5 times as old as her daughter in 15 years time to be two times as old as her daughter to find a mother's presentsage​

Answers

Answer:

25 years.

Step-by-step explanation:

Given that a woman is 5 times as old as her daughter, while in 15 years time it will be two times as old as her daughter, to find a mother's presents age the following calculation must be performed:

5 x 5 = 25

25 + 15 = 40

40/2 = 20

5 + 15 = 20

Thus, the present age of the mother is 25 years, while that of her daughter is 5 years, with which the mother is five times the age of her daughter. In 15 years, the mother will be 40 and her daughter 20, with which she will only be twice her age.

f(x)=3? What is the input value

Answers

Answer: (The explanation is in the image)

You might need to zoom in on it to see

24. Morgan and Natalie's heights can be
compared using a scale of 1.5 inch :2.5
inches. If Morgan is 36 inches tall, find Natalie's
height. Give your answer in feet.

Answers

natalie is 5 feet tall

Which is the graph of y = –|2x + 1|?
Group of answer choices

Answers

it should be the last one since it is the only one with the correct y intercept. i’m not 100% sure but i hope this helps :)

Answer:

The answer would be the third graph with the coordinates as: (0,-1), (1, -3)

Step-by-step explanation:

Hope this helps :))

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

Answers

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

This is the function f(x)= x2 − 4x + 6 .


What is the axis of symmetry?

Answers

Answer:

x = 2

Step-by-step explanation:

Help Please!!!!!! thnk you

Answers

Answer:

anser A

Step-by-step explanation:

Let's fill x and y and we'll see which one is right

a) 0 = -3(-7+7)(-7+4)

<=> 0 = 3 * 0 * -3

<=> 0 = 0 => true

b) 0 = -0.5(-7-7)(-7+4)

<=> 0 = -0.5 * -14 * -3

<=> 0 =  -21 => false

c) 0 = (-7-7)(-7-4)

<=> 0 = -154 => false

d) 0 = 2(-7+7)(-7-4)

<=> 0 = 0 => true

so both a and d are right for (-7,0). Now let's for (-4,0)

a) 0 = -3(-4+7)(-4+4)

<=> 0 = 0 => true

d) 0 = 2(-4+7)(-4-4)

<=> 0 = -48 => false

beslenmenin spor üzerindeki etgisi​

Answers

Answer:

enerji dengesi korunur. Dayanıklılık ve performans yüksektir.Sporda oluşan kas ağrıları minimizedir ve doğru beslenme ile egzersizde yaşanılan kas yıkımı

telafi edilebilir

what is the answer to this ?

Answers

-25x + 40

Step-by-step explanation:

-8 (4x-5) + 7x

-32x + 40 + 7x

-32x +7x + 40

-25x + 40

The above answer is perfect
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