Find the measure of one interior angle for the following regular polygon

Find The Measure Of One Interior Angle For The Following Regular Polygon

Answers

Answer 1

Answer:

108 degrees

Step-by-step explanation:

The formula for the total sum of the angles in any REGULAR shape is

[tex](n-2) * 180[/tex],  where n represents the number of sides.

The shape in the picture shown is a pentagon (5 sides).

[tex](5-2) * 180\\[/tex]

[tex]3 * 180[/tex]

= [tex]540[/tex]

So the angle sum is 540 degrees.

Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.

So to find one angle, just divide it by the number of sides.

[tex]540/5 = 108[/tex]

Answer 2

Answer: 108 degrees

Step-by-step explanation:


Related Questions

If the squad root of 16 = x, then 2x =

Answers

Step-by-step explanation:

Mark me as the brainliest

Use trigonometric identities to solve each equation within the given domain.
sec(x) cos(3x) = 0 from [– π/2 , π/2] PLEASE SHOW WORK!!!!

Answers

Recall the triple angle identity for cosine:

cos(3x) = cos³(x) - 3 sin²(x) cos(x)

… = cos³(x) - 3 (1 - cos²(x)) cos(x)

… = 4 cos³(x) - 3 cos(x)

and the definition of secant,

sec(x) = 1/cos(x)

So we have

sec(x) cos(3x) = 0

(4 cos³(x) - 3 cos(x))/cos(x) = 0

cos(x) (4 cos²(x) - 3)/cos(x) = 0

If cos(x) ≠ 0 (this happens at the endpoints of the interval [-π/2, π/2]), we can simplify this to

4 cos²(x) - 3 = 0

cos²(x) = 3/4

cos(x) = ±√3/2

But since -π/2 < x < π/2, we know cos(x) > 0, so we ignore the negative case:

cos(x) = √3/2

==>   x = π/6 and x = -π/6

The solution of the given trigonometric equation by using trigonometric identities is [tex]\frac{\pi }{6} \ and \frac{-\pi }{6}[/tex].

What are trigonometry identities?

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

Some trigonometric identities are

[tex]cos(3x) = 4cos^{3}(x) -3cos(x)[/tex]

According to the given question.

We have an equation

[tex]sec(x)cos(3x) = 0[/tex]

Since, the above equation can be written as by using trigonometric identities

[tex]sec(x)cos(3x) = 0\\\implies \frac{1}{cos(x)} (4cos^{3} x-3cos(x))=0[/tex]

Solve the above equation for x.

[tex]\implies 4cos^{2} x -3= 0[/tex]

[tex]\implies 4cos^{2}x = 3\\ \implies cos^{2} x = \frac{3}{4} \\\implies cos x = \sqrt{\frac{3}{4} } \\\implies cos x = \pm\frac{\sqrt{3} }{2}[/tex]

In the given domain [tex][\frac{-\pi }{2}, \frac{\pi }{2} ][/tex] we know that cosx > 0. Therefore, we take only positive part

[tex]\implies cosx = \frac{\sqrt{3} }{2} \\\implies x = cos^{-1} \frac{\sqrt{3} }{2} \\\implies x = \frac{\pi }{6}, and \frac{-\pi }{6}[/tex]

Hence, the solution of the given trigonometric equation by using trigonometric identities is [tex]\frac{\pi }{6} \ and \frac{-\pi }{6}[/tex].

Find out more information about trigonometric identities here:

https://brainly.com/question/12537661

#SPJ2

The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
4
+
Submit Answer
Answer: 2 =
attempt 1 out of 2
PLS HELP

Answers

Answer:

69

Step-by-step explanation:

cuz

in how many ways can alice give 12 apples to 3 children

Answers

Answer:

Step-by-step explanation:

give four apples to each child because 12/3 is 4

Answer:

91

Step-by-step explanation:

Find the value of m.

A. 7
B. 2
C. 42
D. 14

Answers

Answer:

A. 7

Step-by-step explanation:

3m + 21 = 6m

Move variables to one side to get:

3m + 21 = 6m

-3m         -3m

21 = 3m

Then isolate variable by dividing by 3

21/3 = 3m/3

m = 7

Choice A is the correct answer

What is the value of q?

Answers

is the equivalent of the value of p most of a hypothetical answer.

help please i’ve been in here for hours looking for answers

Answers

Answer:  Second row

The y intercept is 2

=============================================================

Explanation:

The y intercept always occurs when x = 0. Visually, the y intercept is the location where the graph crosses the y axis.

In the table, we see that x = 0 pairs up with y = f(x) = 2 in the second row. So we can say that the y intercept is 2.

Side note: the x intercept is 1 since it occurs when y = 0.

The second row is correct

What value from the set {6, 7, 8, 9, 10} makes the equation 5x + 2 = 47 true? Show your work. (5 points)

Answers

Answer:

trure correct

ok must of luck

What is the linear function equation represented by the graph?



Enter your answer in the box.


Picture below

Answers

f(x)=-1/2x + 1

You get this by finding the slope of the line.
Delta y/ Delta x. Then the constant is just the y Intercepted, which is where the function passed the y axis.

what is the value of i^n if the remainder of n/4 is 3?

Answers

Answer:

-i

Step-by-step explanation:

i =i

i^2=-1

i^3= -i

i^4=1

i^5=1

The height of a baseball in feet can be found by the equation -4.982 – 20t + 1000. How far has the
baseball traveled at t = 6?

Answers

Answer:

875.018

Step-by-step explanation:

To solve this, we must plug in 6 for our t value. So, we have the equation:

-4.982 - 20(6) + 1000

Following the rules of PEMDAS, we have:

-4.982 - 120 + 1000 = 875.018

Sue has 3 cats. Each cat eats 1 4 of a tin of cat food each day. Sue buys 4 tins of cat food. Has Sue bought enough cat food to feed her cats for 5 days? You must show how you get your answer

Answers

Answer:

3 3/4 tins of food

Step-by-step explanation:

Number of cats = 3

Quantity of food for each cat per day = 1/4 of a tin

Total tins of cat food sue bought = 4 tins

Has Sue bought enough cat food to feed her cats for 5 days?

Quantity of food 3 cats eat per day = Quantity of food for each cat per day × Number of cats

= 1/4 × 3

= 3/4 of a tin

Total Quantity of food 3 cats eat for 5 days = Quantity of food 3 cats eat per day × 5 days

= 3/4 × 5

= (3 * 5) / 4

= 15/4

= 3 3/4 tins of food

Total Quantity of food 3 cats eat for 5 days = 3 3/4 tins of food

Recall,

Total tins of cat food sue bought = 4 tins

Therefore, Sue bought enough cat food to feed her cats for 5 days

Make an Inequality! Twice the difference of a number and 7 is less than -30. Use c as the variable.

Answers

Answer:

7 - 2c < - 30

*To do this equation you would have to start with -30, because of "less than"

Hope this helps.

How many amount will be reqyired to plaster on the four walls at the rate of Rs 315per square meter?find it​

Answers

Incomplete question

Let the area be = 100 square meter

Cost of plaster = Rs 315 per square meter

No of walls = 4

Total area = 400 square meter

Then cost = 400 × 315

= Rs 1,26,000

Answered by Gauthmath must click thanks and mark brainliest

Sorry need pointsssss :-p

help me please to solve this 2 questions pleasee faster.. i will mark you as brainliest​

Answers

Answer:

1. x=72, y=, 108

2.x=30, y=72

Step-by-step explanation:

Brainliest please~

Find the perimeter of this semi-circle with diameter, d = 22cm.
Give your answer as an expression in terms of t.

Answers

Answer:

=22tcm

Step-by-step explanation:

Perimeter of a circle =πD

But π=t

hence perimeter; = 22tcm

where t=π

find : (f/g)(x) pls help

Answers

Answer:

4

Step-by-step explanation:

f(x) = 16x+12

g(x) = 4x+3

f(x) / g(x) =

Factoring f(x) =4(4x+3)

f(x) /g(x) = 4(4x+3) / (4x+3) = 4

P= 3in
a) find the length of each side of the square
b) find the area of the square

Answers

Step-by-step explanation:

what does P mean ?

I assume it is perimeter ?

what is the perimeter of a square ?

come on, there is practically nothing in math that is easier to solve.

a square has 4 equal sides.

so, to go one time around the whole square, we have to go along every one of its 4 sides (which are all of equal length).

so, when I get the perimeter number, I know this is the result of all 4 sides added together.

and how can we express having 4 times the same number ? exactly how we say it in English : 4 times the number.

therefore

P = 4 × side length

and from there we can immediately deduct

side length = P / 4 = 3/4 in

now we know how long the sides of the square are.

what is the area of the square ?

like for any rectangle the area is length×width. just that length=width, so that we end up with length×length = length².

therefore, the area is

3/4 × 3/4 = (3/4)² = 9/16 in²

this is important : a length is measured e.g. in inches (in). an area is then measured in square-inches = in²

Find the value of both variables.

Answers

[tex] \cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2} [/tex]

I hope I helped you ^_^

PLEASE HELP ME I DONT UNDERSTAND

Answers

Answer:

no

Step-by-step explanation:

the square root of 2 is not rational

The tables represent two linear functions in a system.
A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4.

What is the solution to this system?

Answers

Answer:

how?

Step-by-step explanation:

i didnt get this question

Answer:

(8,-22)

Step-by-step explanation:

I took the quiz and did my work on paper but the paper got wet and I don't remember the steps I did

i need help cant understand it

Answers

Answer:

105

Step-by-step explanation:

Because the lines are parallel, we know that those angles have to add up to 180. so we just do

x+75=180

or 180-75=105

x+75°=180°

x=180°-75°

x=105°

or

180°-75° = 105°

please mark this answer as brainlist

PLEASE HELP ME! WHAT IS THE ANSWER TO THIS QUESTION? GIVE A STEP BY STEP EXPLANATION!

Answers

Step-by-step explanation:

-6(4v) + -6(9) = 42

-24v - 54 = 42

-24v = 42 + 54

-24v = 96

-v = 96/24

-v = 4

v = -4

Answer:

I think it's -33\24 V

Step-by-step explanation:

bc the equation is -6(4v+9)=42

so you would multiply -6 and 4 to get -24V +9=42

so then you would subtract 9 from both sides to cancel out the 9 and get 33

then take 33 over -24 but that isn't able to be devided so it would stay a fraction

Ade thinks of a number He doubles it and then subtract 5 The result cannot be less than 100 find the range of values of x

Answers

Answer: [tex]x\in [53,\infty)[/tex]

Step-by-step explanation:

Given

Ade doubles her number and subtract 5 from it. The result cannot be less than 100

Suppose the number is [tex]x[/tex]

According to the question

[tex]\Rightarrow 2x-5\geq100\\\text{Solve the inequality}\\\Rightarrow 2x\geq105\\\Rightarrow x\geq52.5\\\text{for integer number, the range is given by }\\\Rightarrow x\in [53,\infty)[/tex]

Cost of bananas is increased by rupees per dozen one can get two dozen less for 840 rupees find the cost of one dozen

Answers

Answer:

Let the cost of banana per dozen be Rs. x.

Amount for which bananas are bought = Rs. 840

No. of dozens of bananas for Rs 840  = 840/x

New cost of banana per dozen = Rs. (x + 1)

New No. of dozens of bananas for Rs 840 = 840/x+1

According to given condition,

840/x – 840 / x + 1 = 2

∴ 840[1/x – 1/x+1] = 2

∴ 840 [x+1- x / x(x+1)] = 2

∴ 840 [1/ (x² + x)] = 2

∴ 840 = 2(x² + x)

∴ 2x2 + 2x – 840 = 0

Dividing by 2, we get

x² + x – 420 = 0

x² – 20x + 21x – 420 = 0

∴  x (x – 20) + 21 (x – 20) = 0

∴  x – 20 = 0 or x + 21 = 0

∴  x = 20 or x = –21

∴  The cost of bananas cannot be negative.

∴  x = 20

The original cost of one dozen banana is Rs. 20

hope it helps you

Step-by-step explanation:

what is another name for this polynomial?
PLS HELP ASAP¡
A
P
E
X

Answers

Answer:

4x^4 + 6x^3 + 5x + 4 poly means many ....polynomial

x^2 + 1 ... two parts bi-nomial

ax^2 + bx + c ... three parts tri-nomial

3x^2y^3 ... one part  monomial

Step-by-step explanation:

if (p+2q)/p = 7/5 , find the value of q/p , where p ≠ 0​

Answers

Answer:   1/5

Work Shown:

(p+2q)/p = 7/5

(p/p)+(2q/p) = 7/5

1 + 2(q/p) = 7/5

2(q/p) = 7/5 - 1

2(q/p) = 7/5 - 5/5

2(q/p) = (7-5)/5

2(q/p) = 2/5

q/p = (2/5)*(1/2)

q/p = (2*1)/(5*2)

q/p = 1/5

Answer:

q/p = 1/5

Step-by-step explanation:

(p+2q)/p = 7/5

Multiply each side by p

(p+2q)/p *p = 7/5*p

(p+2q) = 7p/5

Multiply each side by 5

(p+2q)*5 = 7p/5 *5

5p + 10q = 7p

Subtract 5p from each side

5p + 10q -5p = 7p -5p

10 q = 2p

divide each side by p

10q/p = 2p/p

10 q/p = 2

Divide each side by 10

q/p = 2/10

q/p = 1/5


The marked price of a radio was 40% above the cost price. When it was sold allowing 30% discount on it, there was loss of RS. 100. What was the marked price of the radio.​

Answers

Answer:

7000

Step-by-step explanation:

70/100 * marked price = original price - 100

marked price = 140/100* og price

70/100 * 140/100 * og price = original price - 100

49/50 * og price = orignal price - 100

1/50 of original price = 100

orignal price = 5000

marked price = 140/100 * 5000 = 7000

Please help solve 1, and 2

Answers

Answer:

Step-by-step explanation:

1). WXYZ is a rectangle,

  Properties of a rectangle,

  i). Opposite sides are equal and parallel.

  ii). All interior angles measure 90°.

  iii). Diagonals are equal in measure.

a). WY = ZX = 30

 Therefore, ZT = [tex]\frac{1}{2}(ZX)[/tex]

                    [tex]ZT=15[/tex]

b). WY = ZX = 45

c). Since, WY = ZX,

    (4b - 16) = (3b + 5)

    4b - 3b = 16 + 5

     b = 21

2). GOAT is a rhombus and m∠OGA = 35°,

    a). m∠TGA = m∠OGA = 35°

    b). m∠GXO = 90°

    c). m∠GXT = 90°

    d). Since adjacent angles of a rhombus are supplementary,

         m∠OGT + m∠GTA = 180°

         70° + m∠GTA = 180°

         m∠GTA = 110°

         m∠GTO = [tex]\frac{1}{2}(m\angle GTA)[/tex]

                        = [tex]\frac{1}{2}(110^{\circ})[/tex]

                        = 55°

     e). Since, opposite angles of a rhombus are equal,

          m∠OGT = m∠OAT = 70°

     f). m∠GOA = m∠GTA = 110°

SOMEONEEEE HELPPP MEEEE OUTTTT!!!!

Answers

Answer:

24°

Step-by-step explanation:

cos ? = 41/45

? = arccos 41/45

? = 24

Answered by GAUTHMATH

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