6. What is the measure of each exterior angle
of a regular decagon?
a.45°
B.36°
C. 30°
d. 40°

Answers

Answer 1

Answer:

36° .

Explanation :

For a regular polygon of n sides, we have

[tex]\bf \longrightarrow \qquad Each \: exterior \: angle = { \bigg( {\dfrac{360}{n} } \bigg)}^{ \circ} [/tex]

Here, We are to find the measure of each exterior ange of a regular decagon.

So, we know a regular decagon has 10 sides, so n = 10 .

Now, substituting the value :

[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{360}{10} } \bigg)}^{ \circ} [/tex]

[tex]\sf \longrightarrow \qquad Each \: exterior \: angle _{(Decagon)}= { \bigg( {\dfrac{36 \cancel0}{1 \cancel0} } \bigg)}^{ \circ} [/tex]

[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{36}{1} } \bigg)}^{ \circ} [/tex]

[tex] \pmb{\bf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = 36^{ \circ} }[/tex]

Therefore,

The measure of each exterior angle of a regular decagon is 36° .
Answer 2

Answer:

It is 36 degrees because the out side is equal to 360 degrees

If you divide that by ten you get 36 for each angle

Step-by-step explanation:


Related Questions

which equation or function is linear?
A. 3xy=4
B. f(x)=2/3(1-x^2)
C. 2y=(2x-1)/4
D. y=3/x+1

Answers

9514 1404 393

Answer:

  C.  2y = (2x-1)/4

Step-by-step explanation:

An equation is linear when the exponents of the variables are 1 and the sum of the exponents of the variables in any term is 1.

a) 3xy = 4 . . . . sum of exponents is 1+1=2

b) f(x) = 2/3(1 -x^2) . . . . exponent is 2

c) 2y = (2x -1)/4 . . . . all exponents are 1 (linear)

d) y = 3/(x+1)  ⇒  xy +y = 3 . . . . sum of exponents is 1+1 = 2

Name the property shown by the statement a + b + 0 = 0 + a + b.

Answers

Answer:

COMMUTATIVE PROPERTY OF ADDITION

Step-by-step explanation:

The measure of a right angle plus the measure of a right angle equals the measure of a blank angle​

Answers

Answer: A straight angle

Step-by-step explanation:

90 + 90 = 180

Which table represents a linear function?

Answers

Answer: table C or 3

Step-by-step explanation:

If you graph it on paper then it creates a straight line, where the others do not.

Which inequality is represented by the graph?

Answers

I believe the answer is y<-3/2x+1

A recylcying center was offering cash for different types of recylcables. For each pound of copper they paid $1.48. For each pound of aluminum they paid $1.55. And for each pound of plasic they paid $0.30. Jesse took in 50 pounds of copper, 15 pounds of aluminum, and 10 pounds of plastic. How mush money was he paid for his recyclables?

Answers

Answer:

$100.25

Step-by-step explanation:

To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make [tex]T[/tex] for total, [tex]c[/tex] for the amount of copper, [tex]a[/tex] for the amount of aluminum, and [tex]p[/tex] for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this: [tex]T=1.48c+1.55a +.30p[/tex]

Now that we have an equation written out, we can plug in the amount of each material to get [tex]T=1.48(50)+1.55(15)+.30(10)[/tex]. We can then simplify this by following PEDMAS and multiplying to get [tex]T=74+23.25+3[/tex] and then all we have left is to add to get [tex]T=100.25[/tex]

HOW DO I SOLVE THIS HELP

Answers

Answer:

[tex]x=2\sqrt5[/tex]

Step-by-step explanation:

I'm assuming that 15 is the length of only part of the hypotenuse of the larger triangle.

The remaining part can be easily found by noticing that the red triangle is half an equilateral triangle of side x, so the missing part is x/2.

Now for a known theorem (easily proved with the fact that triangles AHC and ABC are similar) you can write the following equation containing x:

[tex]x^2 = \frac x2 ( \frac x2 +15) \rightarrowx^2 = \frac {x^2}4+15 \\\\3x^2=60 \rightarrow x^2 = 20 \\x=2\sqrt5[/tex]

(where we obviously took only the positive root since x is a lengtth measure.

Expand it
(1/2x + 7)2

Answers

Answer: If this is 2 multiplying the bracket

x+14

If the bracket is raised to the power of 2

1/4x+7x+49

Step-by-step explanation:

(1/2x +7)2

((1/2x*2)+(7*2))

x+14.

(1/2x+7)(1/2x+7)

1/2x(1/2x+7)+7(1/2x+7)

1/4x+7/2x+7/2x+49

Oi do this for meh ples <3 :In 92, the base is what value?

2
9
18
81

Answers

Answer:

i think its 9 but im not sure. please dont take my word for it

Which of the following functions is graphed below?
A. y=|x-2|-3
B. y=|x+2|-3
C. y=|x-2|+3
D. y=|x+2|+3

Answers

Answer: y=|x-2|+3

Step-by-step explanation:

It took Carrie five less minutes than twice the amount of time as Hua to complete her homework. It took Hua thirty-five minutes to complete her homework. Write a numerical expression to describe the amount of time it took Carrie to complete her homework.

Answers

Given that,

Time taken by Hua to complete her homework is 35 minutes

ATQ,

The time taken by Carrie is five less minutes than twice the amount of time as Hua to complete her homework. Let it is x minutes.

The numerical expression for this is given by :

x = 2(times taken by Hua)-5

x = 2(35)-2

Above is the numerical expression for time taken by Carrie.

We can also solve it, x = 70-2 = 68 minutes

Hence, this is the required solution.

Write an equation in slope-intercept form of the line.

Answers

Answer: mx+b=y

Step-by-step explanation:

Rise over run

Please help I will give brainliest

Answers

Answer:

30ft

Step-by-step explanation:

i think by common sense as an high schooler

8 times 5 equals 40ft and 6 times 5 equals 30 ft

I’m pretty sure it’s 38

HELP PLEASE! 40 POINTS AND WILL MARK BRAINLIEST.

A gym charges $100 as the membership fee and $20 monthly fee. Use the explicit rule f(n)=20n+100 to construct and graph the sequence.

Answers

Answer:

Step-by-step explanation:

Answer:

the answers in the photo

Step-by-step explanation:

An mp3 player is on sale for 30% off the regular price of $39. 98. How much is the discount? a. $11. 99 b. $13. 19 c. $13. 33 d. $27. 99 Please select the best answer from the choices provided A B C D.

Answers

The cost of the mp3 player after the discount is $27.98.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by whole and multiply by 100.

Given

An mp3 player is on sale for 30% off the regular price of $39. 98.

The price of the mp3 player after the 30% is given

[tex]\rm Cost \ of \ player \ after \ discount = Cost \ of \ player \times discount\\\\\rm Cost \ of \ player \ after \ discount = 39.98\times 0.30\\\\\rm Cost \ of \ player \ after \ discount = 11.99[/tex]

The cost of mp3 player after 30% discount is;

= $39.98 - $11.99 = $27.98

Hence, the cost of the mp3 player after the discount is $27.98.

To know more about percentage click the link givem below.

https://brainly.com/question/9776399

What operation is this that’s all

Answers

Answer:

Word problem is the operation

3 = 0.2m - 7

i need to show my work pls hurry!

Answers

[tex]3 = 0.2m - 7[/tex]

[tex]3 + 7 = 0.2m[/tex]

[tex]10 = 0.2m[/tex]

[tex] \frac{10}{0.2} = m[/tex]

plug it on your calculator or multiply 10 by 5

[tex]m = 50[/tex]

The length of a rectangular table is represented by the function L(x) = 4x. The width of the table is represented by the function W(x) = 3x2 − 5x + 6. What is the area of the table in terms of x? (1 point)
(L • W)(x) = 7x3 − x2 + 10x
(L • W)(x) = 12x2 − 20x + 24
(L • W)(x) = 12x3 + 20x2 + 24x
(L • W)(x) = 12x3 − 20x2 + 24x

Answers

Answer:

(L • W)(x) = 12x^3 − 20x^2 + 24x (the last option)

Step-by-step explanation:

It's very simple actually. To find an area of a rectangle, all we have to do is multiply its two sides. We are given the length and the width of the rectangle - its sides. All we have to do is simply multiply them:
Area = L(x) * W(x)
L(x) = 4x
W(x) = 3x^2 - 5x + 6
Therefore the area is equal to:
(4x) * (3x^2 - 5x + 6) =
= 4x * 3x^2 - 4x * 5x + 6 * 4x =
= 12x^3 - 20x^2 + 24x
And there's your answer, option D, or 4 or whatever you call the last one.

If you deposit $4500 into an account that pays 5% annual interest compounded quarterly, how money wil you have after 10 years?

Answers

Answer:

Step-by-step explanation:

hope this help

write 5/10 in three equivialent forms.

Answers

Answer:

10/20

40/80

80/160

Step-by-step explanation:

5/10 x 2 = 10/20

5/10 x 8 = 40/80

5/10 x 16 = 80/160

Hope this helps!!

Have an amazing day!!

Please rate and mark brainliest!!

can you guys give me the correct answers to this

Answers

Answer:

ok so we know that all lights are either red, yellow or blue so first lets add up the red and yellow

26+37=63

ok so that means that 63 out of the 95 are red or yellow now lets see whats left for blue

95-63=32

32 blue

Hope This Helps!!!

Answer:

32

Step-by-step explanation:

95-26-37=32

use subtraction

I need quick help with the second question pls I'll brainlist ​

Answers

Answer:

i think the answer is 2

Step-by-step explanation:

because it depends on how many brushes u buy so x is how many brushes u buy. and theres the cost

If you are good at Math please HELP!! Brainliest!!

A conjecture and the paragraph proof used to prove the conjecture are shown.

GIVEN: ABCD is a parallelogram
DC bisects ∠BDE
PROVE: ∠1 ≅ ∠3

Drag an expression or phrase to each box to complete the proof.

Answers

Answer:

Please see below :)

Step-by-step explanation:

Angle 2 is congruent to angle 3 by definition of angle bisector.

Angle 1 is congruent to angle 3 by the transitive property of congruence.

Please let me know if something's wrong!

The missing values are:

<2 = 1/2 ∠BDE by Angle Bisector Theorem.

<3 = 1/2 ∠BDE by the transitive property

It is given that ABCD is a parallelogram, so AB || DC by the definition of parallelogram.

So, <1 and <2 are corresponding angles.

Therefore, <1 ≅ <2 by the Corresponding Angles Theorem.

It is also given that DC bisects ∠BDE,

So <2 is half the measure of ∠BDE by the Angle Bisector Theorem. Therefore, <2 = 1/2 ∠BDE.

Therefore, <3 is also half the measure of ∠BDE by the Transitive Property. Thus, <3 = 1/2 ∠BDE.

Therefore, <1 ≅ <3 by the transitive property of congruence.

Learn more about Angle Bisector here:

https://brainly.com/question/28565813

#SPJ7

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l.

w ≥ 0.5l

2l + 2w ≤ 180

What is the maximum length possible for her blanket?

30 inches
45 inches
60 inches
90 inches

Answers

Answer:

C 60 inches

Step-by-step -

60 x 2 = 120, which is both lengths, and since he width is half the length, then 30 x 2 = 60. So 130 (length) + 60 (width) = 180. So 60 inches would be the maximum length for both sides.

Answer:

C

Step-by-step explanation:

I just took the unit test

Regular hours worked = 40; Overtime hours worked = 8; Regular rate of pay = $8.25 per hour*
O $330.00
O $99.00
O $429.00
O $276.00​

Answers

Answer:

$396

Step-by-step explanation:

Rate of pay per hour = $8.25
Regular hours worked = 48
Overtime hours worked = 8
Total hours worked = 40 + 8
                                 = 48

∴ Money earned in a day = 48 × $8.25
                                          = $396

Hope this helps!

Find the values of C and D​

Answers

First you can find D since the rest of the 180° on the bottom has 132° already, so 180–132=48. So, 48–12=4d
36=4d
9=d
So, you have 42° (on the opposite side), 62°, and 48°c making up 155. So, 180–155=25. And to find c, add 15.
25+15=40
40÷20=2
So, c=2

c=2
d=9

What is the slope of the line whose equation is 12=4x-6y?

Answers

Answer:

4x-6y-12=0 than it passes through the origin so.distance equals /ax+by+c/all over a^2+ b^2= 4(0)+6(0)-12/4^2+6^2= -12/16+36=12/52=0.23077

Josie is playing a computer game where
she earns 5 points Bach time She answer
a Question correctly. She lose 0.5 point
when she answers a question incorrectly.
Josie had a score of 8 points before she-
answered 9 questions in a row incorrectly. What is Josie's score now?
A. 2.5 points
B.3.5 points
C.12 points
D.53 points

Explain answer

Answers

Answer:

b

Step-by-step explanation:

because u will subtract 0.5 from 8 nine times

8-0.5= 7.5

7.5-0.5=7.0

7.0-0.5= 6.5

6.5-0.5=6.0

6.0-0.5=5.5

5.5-0.5=5.0

5.0-0.5=4.5

4.5-0.5=4.0

4.0-0.5=3.5

John takes 15 minutes to get to school. The bell rings at 9:00a.m. John wants to get there 5 minutes before the-bell. At what time should John leave home?​

Answers

Answer:

8:40 a.m.

Step-by-step explanation:

Let's start by finding the time John should arrive at school.

9:00 a.m. - 5 minutes = 8:60 a.m. - 5 minutes = 8:55 a.m.

Note that there are 60 minutes in an hour

Now, we find the time he should leave home...

8:55 a.m. - 15 min = 8:40 a.m.

Therefore John should leave at 8:40 a.m.

Another way to solve this problem:

John needs to leave home in "x" minutes before 9:00 a.m. to arrive when the bell rings (9:00 a.m.). To find "x", we need to add 15 and 5 to get:

15 min + 5 min = 20 min.

Therefore he must arrive 20 minutes before 9:00 a.m.

9:00 a.m. - 20 min = 8:40 a.m.

Therefore John should leave at 8:40 a.m.

Describe how you would draw or construct a kite in geometric terms.

Answers

Step-by-step explanation:

following properties have been used in constructing the kite

1. diagonals at right angles

2. one of the diagonals bisect

3. pairs of consecutive sides are equal

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