5 of 7
The interior angle of a regular polygon is 165º.
How many sides does the polygon have?

Answers

Answer 1

Answer:

24 sides

Step-by-step explanation:

An exterior angle of a regular polygon is 360 divided by the number of sides. The exterior angle is equal to the interior angle subtracted from 180. We can say an exterior angle of this polygon is 180 - 165 or 15. From the first property, we can write an equation:

360/n = 15

360 = 15n

n = 24

24 sides

Another way to do this, is the formula for an interior angle of a regular polygon is:

180(n - 2)/n

This is equal to the interior angle:

180(n-2)/n = 165

180n - 360 = 165n

15n - 360 = 0

15n = 360

n = 24


Related Questions

Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break during her ride. So, d(4) = . This means that after , Joanna .

Answers

Answer:

68

Step-by-step explanation:

Total mile cycled, d(t) ;

d(t) = 12t + 20

At d(4)

t = 4 ;

We have;

d(4) = 12(4) + 20

d(4) = 48 + 20

d(4) = 68

After, 4 hours of cycling, Joanna cycled a total distance of 68 miles

If f(x)
11x + 7, then ,'(x)=1
Enter the correct answer
0000
DONE
Clear all
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Answers

Answer: f^-1(x) = (y - 7)/11

Explanation:
f(x) = 11x + 7
y = 11x + 7
y - 7 = 11x
(y - 7)/11 = x

Step-by-step explanation:

Hey there!

Given function is f(X) = 11x+7.

Let f(X) be y.

So, y = 11x+7

Interchanging"X" and "y" we get;

X = 11y+7

or, X-7 = 11y

or, y = (x-7)/11

Therefore {f}^{ - 1} (x) = \frac{x - 7}{11} [/tex]

Hope it helps!

PLEASE HELP ME I NEED IT RN​

Answers

Answer:

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Step-by-step explanation:

From the given question, the proof can be completed as;

Statement                                          Reason

1. <2 and < 1 are complementary     (47)  c. given

   <3 and <1 are complementary

2. m<2 + m<1 = [tex]90^{o}[/tex]                             (48) b. definition of complementary angles

   m<3 + m<1 = [tex]90^{o}[/tex]

3. m<2 + m<1 = m<3 + m<1                 3. Substitution property

4. (49)  a, m<2 = m<3                         4. Subtraction property

5. <2 ≅ <3                                           (50) d. definition of congruent angles

Therefore,

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Write the equation of the line in slope-interpret form. Explain

Answers

Answer:

y = -½x + 4

Step-by-step explanation:

Equation of any line in slope-intercept form is y = mx + b, where,

m = slope = change in y/change in x

b = y-intercept = the point on the y-axis intercepted by the line.

Let's find m and b.

✔️Using two points on the line, (0, 4) and (2, 3),

Slope (m) = change in y/change in x = (3 - 4)/(2 - 0)

m = -1/2 = -½

✔️The line intercepts the y-axis at y = 4.

Therefore,

b = 4

✔️To write the equation of the line, substitute m = -½ and b = 4 into y = mx + b.

Thus,

y = -½x + 4

pls i need all of you for asking this question and pls help me​

Answers

LxWxH=Area = volume length it how long it is width is how long it is in the sides and height it how high it is after getting numbers multiply them and that’s ur volume

Remmi wrote the equation of the line y = one-third (x + 2) He solved for x and got x = 3 y minus 2 Which of the following is an equivalent equation for x?

Answers

Answer:

x = 3y - 2

Step-by-step explanation:

Given the equation y = 1/3(x+2), we are to make x the subject of the formula;

y = 1/3(x+2)

Cross multiply

3y = x+2

Subtract 2 from both sides

3y - 2 = x+ 2 -2

3y - 2 = x

Swap

x = 3y - 2

This give the required equation

Answer:

hope this helped ^-^

Step-by-step explanation:

Which is a different way to express 2w?

Answers

2 x w

Explanation:
2w js just the same as 2 x w. You both multiply the variablw by 2.
Someone pleaase correct me if i an wrong!

If i’m right, a branliest would be nice!!
-SpaceMarsh

Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron’s sketch?
36
48
81
84

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

edg 2023

Umm I Lwk need help lol

Answers

Step-by-step explanation:

Hey there!

The Pythagorean identity is: sin²(theta) + cos²(theta) = 1.

So, For finding sin (theta);

Take cos (theta) right side.

sin²(theta) = 1-cos²(theta)

Now, take square on right side from.

sin (theta) = √[1-cos²(theta)] {square changes into square root}

Therefore, sin (theta) = √[1-cos²(theta)].

Hope it helps!

What Has a central point that stays fixed and everything else moves around that point in a circle- full rotation is 360 degrees.

Answers

Answer:

Rotary motion.

Step-by-step explanation:

Motion describes the movement of objects with respect to time.

When an object performs a circular or rotary motion, every point on the object moves around a central point in a continuous manner. Examples of objects that performs circular motion are: blades of an electric fan, rotation of the earth about its axis, the wheel of a moving bicycle etc.

From the cited examples, it would be observed that all points on the objects moves around a fixed central point.

Which of the following systems has infinitely many solutions?
a: -y=-4-3x
6x=2y-8
b: y=x+2
7=-x+y
c: x+y=15
3x-2y=3
d: x=y-8
-x-y=0

Answers

Answer:

d

Step-by-step explanation:

Someone help- I don't know how to solve this- maybe my teacher typed it in wrong? 2.4(m - 3) = 3.8 = -8.2

Answers

Answer:

m = 4.58  

Step-by-step explanation:

Given equation :

2.4 ( m - 3) = 3.8

So now we open the brackets and multiply the terms.

⇒ 2.4 m - 7.2 = 3.8

⇒ 2.4 m = 3.8 + 7.2

⇒ 2.4 m = 11

⇒ m = [tex]\frac{11}{2.4}[/tex]

⇒ m = 4.58

Therefore, the correct value of the variable m by solving the equation is 4.58

if x mangoes cost m cents then the cost of one mango

Answers

Answer:

m/x cents

Step-by-step explanation:

Cost of 1 mango = Total cost/total number of mangoes

= m/x cents

Let’s say you don’t invest at all, and just put $6000 under your mattress every year. How much money will you have in 40 years?

Answers

$240,000 Or $0 because its under your mattress still lol

What's the area of it

Answers

Answer:

33.5 units²

Step-by-step explanation:

We can see this figure as 2 shapes: a square and a triangle. The square measures 4 x 4, and it's area is 16. That leaves the triangle, which has half the area of a quadrilateral that measures 5 x 7. The area of the quadrilateral is 35, and the triangle has an area of 17.5, which is half of that. Adding them together, we get 33.5.

Answer:

33.5 unit²

it's a mixture of triangle and square.

draw a imaginary straight line across the figure from that line which has length of 3 units and now you can see the triangle and the square. Use the formula to find area of triangle and area of square and the sum of their area will be the area of this whole figure i.e 35.5 unit²

A watercolor painting is 19 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 1 inch to each side of the length and the width. What is the area of the mat?

Answers

Answer:

240 [tex]inches^{2}[/tex]

Step-by-step explanation:

11 + 1 = 12

19 + 1 = 20

12 x 20 = 240

PLEASE HELP! VERY EASY

Answers

Answer :

It is the third one i think

Answer:

3RD

Step-by-step explanation:

HELP ASAP!! Need correct answer!

Answers

Answer:

10

Step-by-step explanation:

I just know. besides, it would take too long to write the explanation. Hope this helps :)

Answer:

it's 7 the answer

I calculate and I solve

Plss this my answer can help you

thank you

Lucia is making blackberry jam. She starts with 25 cartons of blackberries. After making 9 jars of jam, she has 10 cartons of blackberries left. Lucia's jars all have the same capacity. Select true or false for each statement.

Answers

Answer:

A = true

B = false

C = false

D = True

Step-by-step explanation:

Cartons of blackberries = 25

Jars of blackberry jam made = 9

Cartons of blackberries left = 10

Cartons of blackberry used = Cartons of blackberries - Cartons of blackberries left

= 25 - 10

= 15

Cartons of blackberry used = 15

Cartons of blackberry used per jam = Cartons of blackberry used / Jars of blackberry jam made

= 15/9

= 5/3

A = true

15 jars of blackberry = Cartons of blackberry used per jam × jars of black berry made

= 5/3 × 15

= 75/3

= 25 cartons of blackberry

B = false

She can make 15 jars of blackberry jam using 25 cartons of blackberry

C = false

Cartons of blackberries left = 10

Number of blackberry jam made with 10 cartons of blackberry = Cartons of blackberries left / Cartons of blackberry used per jam

= 10 ÷ 5/3

= 10 × 3/5

= 30/5

= 6

D = True


Enter the number that goes in the green box

Answers

Answer:

the answer must be ±6

Step-by-step explanation:

√36 = ±6

Answer:

6 is the correct answer because✓36 is 6

Solve using trial and error method.
-7x = 3

Answers

Answer:

-3/7

Step-by-step explanation:

A bag contains 5 red marbles, 8 green marbles, 6 orange marbles, and 11 yellow marbles. What is the probability of randomly choosing an orange marble?

Answers

Answer:

2

please brainliest!

Answer:

1/5

Step-by-step explanation:

Function Q: y =1/3x + 2 Identify function Q as linear or nonlinear. State a reason why it is linear or nonlinear.

Answers

Answer:

A linear function is written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

So any function of this shape, is a linear function, such that when graphed it is a straight line.

In this case, the function you wrote is:

Q: y = 1/3x + 2

Now, if the function is exactly what you wrote, then x is in the denominator:

y = 1/(3*x) + 2

Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.

If instead, the actual function Q is:

Q: y = (1/3)*x + 2

Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.

Which equation of the line passes through the point (0,4) and is perpendicular to the lines whose equation is y=-1/2x + 3

Answers

Answer:

y = 2x+4

Perpendicular lines, when you multiply their gradient, you will get -1. You can also find the negative reciprocal, which is 2. The point (0,4) is the y intercept, which is for. Hence, the equation is y=2x+4

Hope this helps!

Find the surface area and volume of a prism with a square base sides of 8 inches and a height of 12 inches.

surface area _________ Volume__________

Answers

Answer:

surface area is 64in³.

volume is 832 in³

A square has a perimeter of 36yd. What is the length of each side

Answers

Answer:

9

Step-by-step explanation:

There are 4 sides to a square so you would divide 36 by 4.

36/4=9

6.
Find the value of y.
160°
60°
50°

Answers

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too

John took 8 hours to drive 320 miles. At this same rate, how far will he travel in 16 hours?

Answers

Answer:

640 Miles

Step-by-step explanation:

Any line with no slope is parllel to the
A) X-axis
B) Y-axis
C) Line y=x

Answers

Answer:

I think it could be the X-axis

what is the ordered pair for 90 degrees on a unit circle

Answers

Sin 90°=1
Step-by-step explanation:
A unit circle is a circle with a radius of 1 .Because the radius is 1, it is possible to directly measure the sine, cosine and tangent.
using the unit circle where 90° is the limit as the hypotenuse approaches the vertical y-axis which is positive.
Sine=opposite/hypotenuse
Sin=O/H
Applying the limits
Sine 90°=1/1= 1
cos 90° =0/1 =0
or
When the angle formed at the origin of the unit circle in the 1st quadrant is 0°, cos 0°=1 sin0°=0 and tan 0°=0
When we increase the angle until it is 90°, cos 90°=0, sin 90°=1 and tan 90°=undefined
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