Find the measure of each exterior angle of the regular polygon.

Find The Measure Of Each Exterior Angle Of The Regular Polygon.

Answers

Answer 1

Answer:

Exterior Angle 1 (2x-10): 140 degrees

Exterior Angle 2 (x+25): 130 degrees

Exterior Angle 3 (right angle): 90 degrees

Step-by-step explanation:

Givens:

Angle 3 = 90 degrees

Angle 1 + Angle 2 + Angle 3 = 180 degrees

Angle 1/2/3 + exterior angle = 180 degrees -> 180 - Angle1/2/3 = exterior angle

Step 1: Solving for x.

1. Using the first equation above, substitute the angles.

(2x-10) + (x+25) + 90 = 180

2. Combine like terms.

3x + 105 = 180

3. Solve for x.

3x = 75

x = 25

Step 2: Solving for angle 1 and 2.

Plug 25 in for x for both angles

Angle 1:

(2(25)-10) = 40 degrees

Angle 2:

((25)+25) = 50 degrees

Step 3: Solving for exterior angles.

Plug in the knowns to the second equation above and solve.

Angle 1:

180 - 40 = 140 degrees

Angle 2:

180 - 50 = 130 degrees

Angle 3:

180 - 90 = 90 degrees

I hope this helps!

Answer 2

Answer:

x=25

Step-by-step explanation:

90+2x-1-+x+25=180

3x+105=180

    -105 -105

3x/3=25/3

Meaning x=25


Related Questions

Help ASAP ILL GIVE BRAINLIST TO CORRECT PERSON TY! I already solved how much money she needs

Answers

Step-by-step explanation:

Let x be the amount Jennifer needs to spend more.

We have $112.49 + x >= $250.

We subtract $112.49 from both sides of the inequality to get x >= $137.51.

Hence, Jennifer needs to spend at least $137.51 more to earn the free T-shirt.

Answer:

33

Step-by-step explanation:

i think plz dont be mad

Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola

Answers

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

[tex]b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55[/tex]

General equation of hyperbola is :

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1[/tex]

Hence, this is the required solution.

A contracter hires 4 workers for a construction project

Answers

Answer:

???

Step-by-step explanation:

so whats the question.

I’m trying to prove this but I’m stuck... :(

Can someone help ?

Answers

I can help, but what are you exactly trying to do here?

Which of the following may be used as reasons in a two-column proof? Select all that apply.

Answers

Answer:

The word among the options that may be used for a two column proof includes;

1) Definitions

2) Theorems

3) Postulates

4) Properties

5) "Given"

Step-by-step explanation:

The word among the options that may be used for a two column proof includes;

1) Definitions; Includes the definitions of a geometry, that outlines the relevant properties

2) Theorems; Valid reasoning or conclusion that may not be directly evident in the presentation of the given relationships, but which serve to provide validation to more clearer relationships between the variables

3) Postulates; Previous suggestion or reasoning taken to be the true relationships

4) Properties; Characteristics of a given figure or expression

5) "Given"; Conditions initial stated as those of the properties of the figure or expression

Ada charges a flat rate of $56.00 for painting houses plus an additional $8.00 for each hour she works. Which of the following expressions should Ada use to determine the cost for working 4 hours?

Answers

Answer:

cost = 56 + 8t, where t is the number of hours worked for.

for 4 hours of work, cost = 56 + 8 x 4 = $88

Step-by-step explanation:

pls help me with this question give u brainliest pls it's urgent ​pls help

[Image: Vertical number line ranging from negative 5 to 5.]


On this number line, zero represents sea level. Plot the following points based on the description provided.


• greatest common factor of 8 and 12

Answers

Answer:

Positive 4

Step-by-step explanation:

I believe this is the same as the problem above.

Factors for 8 => 1, 2, 4, 8

factors for 12 => 1, 2, 3, 4, 6, 12

the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.

Jesse enjoys watching ‘Rudolph the Red-Nosed Reindeer’ during the holidays. If Jesse watches the movie three times every year, how many times will she have seen the movie when she turns 24?

Answers

Answer:

72

Step-by-step explanation:

Since every year she watches it 3 times, she would watch 3·24 times when she is 24. 3·24=3·20+3·4=60+12=72

Answer:

72

Step-by-step explanation:

1/6 - 3/8 as a fraction

Answers

Answer:

-5/24

Step-by-step explanation:

find common denominator

8/48 - 18/48 = -10/48

simplified the answer is -5/24

Answer:

-5/24

Step-by-step explanation:

Are you sure you want your answer to be negative? Because if you switch the order, it would be 5/24. Just in case! Good luck and have a great day!

PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Explain pls :)

At the store, meat was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?

Answers

Answer:

I think it's

Step-by-step explanation:

73.70×3

221.1

221.1 is the answers

Can anyone tell me why I got this question wrong? Btw Happy Holidays!

Answers

Answer:

Hope this may helps you

Answer:

Column A:

You calculate slope doing y2-y1/x2-x1

So -10-1/5-(-2)= -11/7

Column B:

Rearrange the equation to get y

-3x+2y=7

2y=3x+7

y= 1.5x + 7

Therfore we have that the slope of column be is greater because it has a positive regression. While column A has a negative slope.

Rate positively and give brainlist

Which fraction represents 0.64 repeating A. 5/12 B. 7/11 C. 2/3 D. 9/13

Answers

Answer:

7/11

Step-by-step explanation:

I could tell it was either 7/11 or 9/13 because I knew 2/3 was .666 and the other one 5/12 is less than half, so it'd be less than .5.

7/11 = .6363

9/13= .6969

7/11 is the closest

HELP! Please help! Thank you so much!
(please try to show your work)
A pizzeria offers toppings of mushrooms, sausage, onions, onions olives, and peppers. How many different ways can a pizza be made, using anywhere from 0 to 5 toppings?

Answers

Answer:

0-5

Step-by-step explanation:

1 if theres 5 topping. 2 if there are 10 toppings. 3 if 15. 4 if 20. 5 if 25.

In a survey, four out of five people surveyed preferred creamy over chunky peanut butter. 120 people are shopping at the grocery store. Use the survey to predict how many people in the store would prefer creamy peanut butter?

Answers

Answer: Around 96 people would prefer creamy peanut butter.

Step-by-step explanation:

In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.

Then the relative frequency is:

4/5 = 0.8 prefer creamy peanut butter.

And we can assume that:

1/5 = 0.2 prefer chunky peanut butter.

We also could multiply these numbers by 100% to obtain the percentage forms:

0.8*100% = 80%

0.2*100% = 20%

Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.

Then we can expect that the number of people that prefers creamy peanut butter is:

N = (80%/100%)*120 = 0.8*120 = 96

Around 96 people would prefer creamy peanut butter.

can i get some helpers?

Answers

Answer:

congruent, the triangles have 2 congruent sides and a congruent angle, therefore the triangles are congruent by the SAS Theorem

Step-by-step explanation:

5x-28 = 2x+8

3x=36

x=12

x+4 = 2x-8

(12)+4 = 2(12)-8

16 = 16, AB is congruent to DE

x-2 = 3x-26

(12)-2 = (36)-26

10 = 10, AC is congruent to DF

Max was fencing in his rectangular pool area. The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet. a) Write and simplify an expression for the perimeter of the pool area to be fenced in. Be sure to include the formula!

Answers

Answer:

(6x + 2) feet

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2L + 2 W

Where L = Length

W = Width

Hence, the:

The length of the pool was (2x -3) feet and the width of the pool was (x + 4) feet.

The perimeter of the rectangular pool =

2(2x - 3) + 2(x + 4)

= 4x - 6 + 2x + 8

= 4x + 2x - 6 + 8

= (6x + 2) feet

Therefore, an expression for the perimeter of the pool area to be fenced is (6x + 2) feet

darren drove his car 96 miles and used 4 gallons of gasoline . what is the unit rate for miles per gallon

Answers

Answer:

24 miles per gallon

Step-by-step explanation:

Take the numbers of miles and divide by the number of gallons

96 miles / 4 gallons

24 miles per gallon

Answer: Darren is getting 24 miles per gallon. That should be your unit rate.

what is 2+2 in pemdas

Answers

Answer:

Addition with the result of 4

Step-by-step explanation:

Given

2 + 2 = 4

PEMDAS is the rule that includes order of operations in the sequence:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

In the given expression we have Addition bit of PEMDAS

Suppose that 8 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the ​finalists, what is the probability of selecting ​(A) 3 females and 2​ males? ​(B) 4 females and 1​ male? ​(C) 5​ females? ​(D) At least 4​ females?

Answers

Answer:

0.4196

0.2098

0.0280

0.2378

Step-by-step explanation:

Given that:

Number of females = 8

Number of males = 6

Total = 8 + 6 = 14

Number of positions = 5

Probability = required outcome / Total possible outcomes

Total possible outcomes = 14C5

nCr = n! / (n-r)! r!

14C5 = 2002 (from calculator)

​(A) 3 females and 2​ males?

Required outcome : 8C3 * 6C2 = 56 * 15 = 840

840 / 2002 = 0.4196

(B) 4 females and 1​ male? ​

(8C4 * 6C1) / 14C5 = 420 / 2002 = 0.2098

(C) 5​ females?

8C5 / 14C5 = 56 / 2002 = 0.0280

​(D) At least 4​ females?

4 female 1 male + 5 females

((8C4 * 6C1) + 8C5) / 14C5

(420 + 56) / 2002 = 0.2378

Which of the following statements is TRUE about rectangle GHIJ.

Answers

Answer:

JK=KI

Step-by-step explanation:

Answer:

KJ=KI

Step-by-step explanation:

They're the same length

What is the slope? (Number)

What is the y-intercept? (Number)

Write a linear equation y=mx + b to represent the table:

Answers

Answer:

slope=1

y-intercept=10

linear equation is y =x+10

Step-by-step explanation: to find slope take 2 points (0,10) and (2,12) as (x1,y1) and (x2,y2) respectively. Using slope formula(y2-y1/x2-x1) we get (12-10)/(2-0) which simplifies to 2/2 which is 1. y-intercept is the point where x is 0, then y is a number called y-intercept. And in the table when x=0 ,y=10 therefore 10nis the y-intercept. As for the linear equation, y=mx+b it simply is y=slope×x +y-intercept, from the previous question we can say y=1x+10 ( in math its better if the coefficient of x is 1 we can just say x) which is y=x+10.

Which of the following expressions has the same meaning as “increase n by 25%
0.25n
0.75n
1.25n
1.75n

Answers

I believe it would be .25n
Hopefully it’s right

Answer:

1.25n

Step-by-step explanation:

n times 125% would be increasing it by 25%, so multiplying it by 1.25 would accomplish the same thing

notmxffin can u answer this please?

Answers

Answer:

1 - 3

2 - 1

3 - 4

4 - 3

Step-by-step explanation:

For one Chemistry test, Joan had to answer 40 questions. Of these 40 questions, Joan answered 22 of them correctly. What percent did Joan get on her Chemistry test? Round your answer to the nearest whole number if necessary. *

Answers

Answer:

55%

Step-by-step explanation:

The total number of questions gotten correctly = 22

The total number of questions to be answered = 40

The percent of questions Joan got correctly is calculated as:

(The total number of questions gotten correctly/The total number of questions to be answered) × 100

22/40 × 100

= 55%

For the equation y-3=2(x+4) the line has a slope of 2 and contains what point?

Answers

Answer:

(-4,3)

Step-by-step explanation:

I got it correct :)

The point is A ( -4 , 3 ) for the equation of line y - 3 = 2 ( x + 4 ) with slope 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

The equation of the line is y - 3 = 2 ( x + 4 )

The slope m = 2

Let the point be = A ( x₁ , y₁ )

The point A can be calculated from the equation of line

From the formula for equation of line , we can substitute the values and find the point A

So ,

Equation of line is y - y₁ = m ( x - x₁ )

Substituting the value of x₁ , y₁ and m in the equation , we get

y - 3 = 2 ( x - ( -4 ) 0

So , y₁ = 3

x₁ = -4

Therefore , the point A ( x₁ , y₁ ) = A ( -4 , 3 )

Hence , the point A is ( -4 , 3 )

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ3

i am confused i don't know how to solve this maybe someone on here can solve it but here is it Solve. 21r<7

Answers

Answer:

r<-3

Step-by-step explanation:

Answer:

r < [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

21r < 7 ( isolate r by dividing both sides by 21 )

r < [tex]\frac{7}{21}[/tex] , that is

r < [tex]\frac{1}{3}[/tex]

what is the solution of the system of equations?
y=2/3x+5
7x-3y=15

A. (0,5)
B. (2,19/3)
C.(4,23/3)
D.(6,9)​

Answers

Answer:

(30, 25)

Step-by-step explanation:

Substitute (2/3)x + 5 for y in the second equation:

7x - 3([2/3]x + 5) = 15

Then:

7x - 2x - 15 = 15, or:

5x = 30.  Thus, x = 30, and from the first equation we get:

y = (2/3)(30) + 5 = 20 + 5 = 25

The solution is (30, 25)

A theater has 384 seats. Each row has 16 seats. What is the value of x in the area model?

Answers

Answer:

x=4

Step-by-step explanation: 64/16=4

If the point (3, 10) is on f(x), which point will be on f(x)+3?

please help me :(

Answers

Answer:

(3,13)

Step-by-step explanation:

so, you would add 3 to the y value

the point would be (3,13)

Given g(x) = 5x + 2, solve for x when g(x) = 7.

Answers

Answer: x = 1

Explanation:

g(x) = 5x + 2
g(x) = 7

=> 5x + 2 = 7
5x = 7 - 2
5x = 5
x = 5/5 = 1
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