The exterior angles of a pentagon are (m+5)°, (2m+3)°, (3m+2)°, (4m+1)° and (5m+4)° respectively. Find the measure of each angle. ​

Answers

Answer 1

Answer:

Step-by-step explanation:

Sum of exterior angles of any polygon =360°

Sum of exterior angles of polygon = 360°

m + 5  + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360

m + 2m + 3m + 4m + 5m + 5 + 3 + 2 + 1 + 4  = 360  {Combine like terms}

15m + 15 = 360 {Subtract 15 from both sides}

        15m = 360 - 15

        15m = 345 {Divide both sides by 15}

           m = 345/15

m = 23

m + 5 = 23 + 5 = 28°

2m + 3 = 2*23 + 3 = 46 + 3 = 49°

3m + 2 = 3*23 + 2 = 69 + 2 = 71°

4m + 1 = 4*23 + 1 = 92 + 1 = 93°

5m + 4 = 5*23 + 4 = 115 + 4 = 119°

Answer 2

Answer:

see explanation

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Sum the angles and equate to 360

m + 5 + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360, that is

15m + 15 = 360 ( subtract 15 from both sides )

15m = 345 ( divide both sides by 15 )

m = 23

Then

m + 5 = 23 + 5 = 28°

2m + 3 = 2(23) + 3 = 46 + 3 = 49°

3m + 2 = 3(23) + 2 = 69 + 2 = 71°

4m + 1 = 4(23) + 1 = 92 + 1 = 93°

5m + 4 = 5(23) + 4 = 115 + 4 = 119°


Related Questions

please help me

what is the answer for those and if u can’t simplify some please tell me

Answers

Answer:

7/16=7/16

8/16=1/2

9/16=9/16

10/16=5/8

11/16= 11/16

12/16=3/4

13/16=13/16

14/16=7/8

Step-by-step explanation:

The ones that didn't change are the ones that cannot be simplified :)

Question 3 of 10
Which statement does not describe the relationship between genes and
inherited traits?

A. Some inherited traits are affected by more than one gene.
B. Individual genes carry the instructions for inherited traits.
C. Inherited traits carry the instructions for individual genes.
D. Some genes influence more than one inherited trait.

Answers

I think it’s B........

C. Inherited traits carry the instructions for individual genes is the statement that does not describe the relationship between genes and inherited traits. Genes carry the instructions for inherited traits, not the other way around.

I need the endear for number six. Will give brainliest for help/answer.

Answers

Answer:

f(1) = 2, f(4) = 8

Step-by-step explanation:

f(1) in the interval - 3 < x ≤ 1 , then f(x) = x + 1 , so

f(1) = 1 + 1 = 2

f(4) in the interval 1 < x ≤ 4 , then f(x) = 2x , so

f(4) = 2 × 4 = 8

Determine if the triangle with the given sides is acute, obtuse, or right.
7, 10, 15
Obtuse
Right
I DONT KNOW
Acute ​

Answers

Answer:

It is Acute

Step-by-step explanation:


The coordinates of the vertices of triangle QRS are Q (1,-2), R (1,9),
S (6,-4). What is the length, in units, of the line segment that connects
vertex Q to vertex R?

Answers

I think 1700000000000000000

Answer:

QR = 11

Step-by-step explanation:

Q and R are on a vertical line.  Therefore, QR = 9 - (-2) = 9 + 2 = 11

I’ll give you brainleist please just help fast

Answers

Answer:

It's 76 degrees

Step-by-step explanation:

Thanks for branliest

Answer:

76

Step-by-step explanation:

the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!

Two matchsticks have the same length as three bottle tops. How many bottle tops will have the same length as 50 matchsticks?

Answers

i don’t understand why people are sending files for answers

2x-1/2y=1 solve for y

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

16,000 lb = _______ T

If you are able to help please do! <3 it’s highly appreciated

Answers

Answer:

[tex]8[/tex] tons

Step-by-step explanation:

Divide the mass value by 2000, easy.

Answer:

IT'S

7.143 Tons

Step by Step:

For an approximate result,

divide the mass value by 2205

Carolyn has cut a piece of ribbon 29 centimeters long from a roll. Which
instrument would she use to measure the length of the piece of ribbon?

A) meter stick
B) graduated cylinder
C) weighing scale
D) measuring spoon

Answers

Answer:

A. meter stick

Step-by-step explanation:

The other answers do not make sense.

B is used to measure liquids.

C is used to measure weight/mass

D is used to measure the ingredients needed for a recipe, usually cooking.

I think the answer to your question may be C) measuring spoonand the reason why is

please help me solve this equation

Answers

Answer:

-85

Step-by-step explanation:

We are given the equation [tex]E^8_{n=1}[/tex][tex](-2)^{n-1}[/tex] and are asked to evaluate it.

This can be solved using the geometric sequence, but first we have to determine our "r", "n", and [tex]a_{1}[/tex].

Of course [tex]a_{1}[/tex] is equal to 1. Therefore,

[tex]a_{1[/tex] = 1

[tex]r=[/tex]

[tex]n=[/tex]

(-2) is the change per number in the sequence, therefore -2 is our "r".

[tex]a_{1[/tex] = 1

[tex]r=-2[/tex]

[tex]n=[/tex]

The number "8" on [tex]E^8_{n-1}[/tex] represents the "n". Therefore 8 is our "n".

[tex]a_{1}=1[/tex]

[tex]r=-2[/tex]

[tex]n=8[/tex]

Use the geometric sequence sum formula and substitute :

[tex]a_{1} \frac{1-r^n}{1-r}[/tex]

[tex]1* \frac{1-(-2)^8}{1-(-2)}[/tex]

[tex]1* \frac{1-(-2)^8}{1+2}[/tex]

[tex]1* \frac{1-256}{1+2}[/tex]

[tex]1* \frac{-255}{3}[/tex]

[tex]1 * -85[/tex]

[tex]-85[/tex]

What percentage is the fraction equal to? A. 30% B. 20% C. 50% D. 40%

Answers

Answer:

B

Step-by-step explanation:

20% is equal to the fraction above

Answer:

its 50%

Step-by-step explanation:

2/4 is 2 of 4 so 2/4 is the half of said number also half is 50% (started babling to look smart)

Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5

Answers

Answer:

3x - 5

Step-by-step explanation:

Given that f(x) = 5x - 2 and g(x) = 2x+3

f(x) - g(x) = 5x-2 - (2x+3)

Expand

f(x) - g(x)  = 5x - 2 - 2x - 3

Collect like terms

f(x) - g(x) = 5x - 2x -2-3

f(x) - g(x)  = 3x - 5

Hence the required answer is 3x - 5

can someone help my lil sis again.

Answers

Answer:

282 + d

Step-by-step explanation:

Number of miles driven by Deandre for week 1 = 282 miles

Number of miles for week 2 = d

Total number of miles driven for two weeks can be expressed as:

(282 + d) miles

Please look at picture

Answers

Answer and Step-by-step explanation:

1. Figure A, B, and C are Parallelograms

2. Figure A and C are Rectangles

3. Figure A is a Square

#teamtrees #PAW (Plant And Water)

Answer:

1) a, b, & c      

2) a & c

3) a & c

Step-by-step explanation:

What fraction is equivalent to 3/12?


A.12/48

B.1/4

C.18/60

D.24/96

Answers

the answers is A because 3 equals to 12 and 12 equals to 48

Arul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radies of each brand 30 times at the same speed and measured how long the radies played in minutes before running out of power the results of the experiment are displayed in the box plots below​

Answers

The power of tanks will dirt rags and

Answer:

50%

Step-by-step explanation:

PLEASE HELPP ASAP!!! (brainly if u help)

A camper on top of a 400 foot cliff is enjoying the view. They look down and see a
bear at an angle 37 degrees. Approximately how far is the bear from the base of the
cliff? (Round your answer to the nearest foot.). REMEMBER THE UNITS

Answers

Answer:

301.42 ft from base

Step-by-step explanation:

We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer

In 2005 there was 1200 rabbits in an island. The population decays at 8%
every year. At this rate how many rabbits will there be in the year 2020?

Answers

subtract 1200 - 8% 15 times and that will be your answer

help. i’ll give brainliest & thank you!!

Answers

Answer:

The line with a slope of 1/2 is steeper

Step-by-step explanation:

Here, we want to get which slope is steeper

mathematically, when we want to know the line that has a steeper slope, we compare the value of the slopes

The line with a slope that is of greater value will be steeper

Mathematically, 1/2 is a greater number than 1/3

That simply means 1/3 is less steep and thus, the line with the slope of 1/2 is the steeper line

SIMPLE SEVENTH GRADE MATH PROBLEM. GOVING BRAINLIEST

Answers

Answer:

D is the answer

Step-by-step explanation:

Well 35 dollar one time fee

plus 15 per hour

If used 1 hour 15+35=50

Answer:

A

Step-by-step explanation:

The price of renting a boat goes up 15 per hour, which is the rate of change.

Sonya randomly surveys 26 seventh graders to gather data about the amount of time spent each week using the Internet. Sonya records the data in the dot plot shown. What is the median of the data set?


What is the mean and the median

Answers

Answer:

You're lucky I have the dot plot, other wise this could not be answered.

Median: 7.5

Mean: 7.5

Yes, they are both 7.5.

David has a bag of coins. The bag contains 7 dimes, 2 nickels, and 6 pennies. He will randomly select 2 coins from the bag one at a time
without replacement. What is the probability that David will select a dime first and then a penny?
O 0.25
0.3
O 0.2
0.1

Answers

Answer:

0.2

Step-by-step explanation:

[tex]\frac{7}{15}[/tex] x [tex]\frac{6}{14}[/tex] = 0.2

1.2 ÷ 4 = 12 tenths ÷ 4

Answers

Answer:

Yes you're right, it does

Please help me with this

Answers

(2,4)
2 is for the x axis and 4 is for the y axis
The answer is E. (2,4)

HELP ME PLEASE ITS DUE TODAY!!!!

Answers

Step-by-step explanation:

[tex] - 5 - ( - 4) = - 5 + 4 = - 1 \\ - 4 - ( - 5) = - 4 + 5 = 1 \\ - 4 - (5) = - 4 - 5 = - 9 \\ 4 - ( - 5) = 4 + 5 = 9[/tex]

Therefore ranking them from least to most:

[tex] - 4 - (5) \\ - 5 - ( - 4) \\ - 4 - ( - 5) \\ 4 - ( - 5)[/tex]

Hi can you Please answer this i will mark brainliest ive been asking for 2 days :( Its Overdue :(

Answers

Answer:

f(x)= 1.38x

y= 1.38x

Step-by-step explanation:

basically the cost= 1.38 per pound

you can use cost=1.38x if ur grade level isn't at f(x) yet

<3

Answer:

f(x) = 1.38x

x just stands for a number so depending on how many pounds you get you would times the pounds by 1.38. And f(x) (pronounced "f of x") means that each input has a single output. So if you bought 2 pounds of strawberries, the equation would change to this:

f(2) = 1.38(2)

The x's were just replaced with 2's, see? I wish someone had explained this to me earlier lol

Find the numerator of the following sum in its simplest form?
1/2+3/4+5/6+...+511/512=

Answers

el numerador será 512 ya que en esta suma el numero mas alto es el 512

Which could not be describe as an exponential function?
A. the number of bacteria in a culture that increases 7.3% every hour
B. the amount of a person's salary if he gets a $3,500 raise every year
C. the amount of money in a bank account compounded monthly

Answers

Answer: A. The number of bacteria in a culture that increases 7.3% every hour

What is the intermediate step in the form (x+a)^2=b(x+a)
2
=b as a result of completing the square for the following equation?
6x^2+48x+207=15

Answers

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b

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