Is it possible to have a polygon whose sum of the interior angles is 850 degrees

Answers

Answer 1

Answer: No

Step-by-step explanation:

The sum of the interior angles of a polygon with n sides is given by [tex]180(n-2)[/tex]. Setting this equal to 850 degrees,

[tex]180(n-2)=850\\\\n-2=\frac{85}{18}\\\\n=\frac{121}{18}[/tex]

Since this gives n to be a non-integer value, this is an impossible situation since a polygon must have an integer number of side lengths.


Related Questions

Determine the length of the missing sides for each special right triangle. Leave answer in exact (reduced radical) form. Geometry!! pls help!!

Answers

Answer:

[tex]a = 18 \sqrt{3} [/tex]

[tex]c = 36[/tex]


The coordinates of C are (4,4), and the midpoint of CD is at M(-2,-6), what are the coordinates of point D?

Answers

The coordinates of D is (-8 , -16 )

What are Coordinates ?

Coordinates are the location of a point on the x-y plane.

It is given that the coordinates of C are  (4,4)

the midpoint of CD is at M(-2,-6)

The distance between D to the midpoint is equal to distance between C and the mid point M .

The distance between C and M is

( -2 - 4 , -6 -4 )

( -6 , -10)

Adding this to the mid point will give the location of D

(-2 -6 , -6 , -10 )

(-8 , -16 )

Therefore the coordinates of D is (-8 , -16 ).

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Answer:

-8, -16

Step-by-step explanation:

got it right on the est.

I WILL MARK BRAINLIEST PLEASE HELP !! Determine whether the two triangles are similar.

Answers

The two triangles are similar by SSA similarity. Option B is correct.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

If the ratio of the sides are same as well as the one angle is common between the two triangles then in that condition there will be SSA similarity.

From the triangle ABC and DEC

The ratio of the sides is;

[tex]\rm \frac{10}{12}= \frac{8}{9.6} \\\\ \frac{5}{6}= \frac{5}{6}[/tex]

One angle c is common in the two triangles.

The two triangles are similar by SSA similarity.

Hence, option B is correct.

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The slope of the line below is -3. Which of the following is the point-slope form of the line?

Answers

Answer:

Step-by-step explanation:

Is there a graph or more information?

A local dry cleaner interviewed 15 candidates for the positions of cashier, washer, and delivery driver. How many ways can
they fill the 3 positions?
18
45
455
2,730

Answers

Answer:

D. 2730

Step-by-step explanation:

I just had this question on FLVS yesterday.
you use factorials for this:

15!/12!

15*14*13*12!/12!

15*14*13

2730

Number of ways in which 3 positions can be filled are 2730.

What is permutation and combinations?

The number of ways in which objects from a set may be selected, generally without replacements, to form subsets. This selection of subset is called permutation when order of selection is a factor.

If n things taken r at a time and n!  = n × (n-1) × (n-2) × (n-3)..........3 × 2 × 1

⇒Permutation,

                              [tex]P(n,r) =\frac{n!}{(n-r)!}[/tex]

Now it is given that number of candidates, n = 15

and number of position, r = 3

Hence number of ways positions can be filled-

                           [tex]P(n,r) =\frac{15!}{(15-3)!}[/tex]

⇒                         [tex]P(15,3) =\frac{15!}{12!}[/tex]

⇒                         P(15,3) =  (15 × 14 × 13)12!/12!

⇒                         P(15,3) =  (15 × 14 × 13)

⇒                         P(15,3) =  2730

∴ Number of ways in which 3 positions can be filled are 2730.

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Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right angle. The length of N T is y, the length of T M is 6, the length of N U is 9, and the length of U M is 3.
What is the value of y?

3 StartRoot 3 EndRoot units
6 StartRoot 3 EndRoot units
9 StartRoot 3 EndRoot units
12 StartRoot 3 EndRoot units

Answers

Answer:

6 StartRoot 3 EndRoot units

Step-by-step explanation:

could you show me what sin D is?

Answers

Answer:

sin D = 28/53

Step-by-step explanation:

sin D = opp/hyp

For angle D, the opposite leg is FE with length 28.

The hypotenuse is DE with length 53.

sin D = 28/53

Answer: sinD=28/53.

Step-by-step explanation:

[tex]sinD=\frac{FE}{DE} =\frac{28}{53} .[/tex]

What is the measure of RCD?

Answers

Find length CD first, which is the hypotenuse of the triangle.

PD = opposite

Opposite & hypotenuse = SOH or sin

Sin(27) = 15/H

x h, then ÷ sin(27)

H = 15/sin(27)

H = 33.04....

Move to triangle CDR:

15 is length opposite the angle we're after.

So far, we've got the hypotenuse (which we just found to be 33.04....) & the opposite of our triangle

Hypotenuse & opposite = SOH

Sin(x) = 15/33.04... but, to find the angle we do inverse of sin

sin-1(15/33.04...) = x

x = 27

(33.04... means I used the full numbers displayed on my calculator)

Thus, RCD is 27 degrees

Hope this helps!

look at images........

Answers

Answer:

[tex] \pink{ \rule{1pt}{3000000pt}}[/tex][tex] \red{ \rule{1pt}{3000000pt}}[/tex][tex] \purple{ \rule{1pt}{3000000pt}}[/tex]

An arithmetic sequence has this recursive formula:
a1= 5

an= an-1-4

Answers

The explicit formula for the sequence is an = 5 + (n - 1)(-4)

Explicit rule of a sequence

The formula for calculating the nth term of an arithmetic sequence is expressed as:

an = a + (n - 1)d

where

a is the first term

d is the common difference

n is the number of terms

From the given data

a = 5

a2 = a1 - 4

a2 = 5 - 4

a2. = 1

d = a2 - a

d = 1 - 5

d = -4

Substitute

an = 5 + (n - 1)(-4)

Hence the explicit formula for the sequence is an = 5 + (n - 1)(-4)

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solve for n (please help i’ll do my best to get everyone the answers points)

Answers

Answer:

N = 18

Step-by-step explanation:

Both triangles are similar by SAS property,

that means corresponding sides are proportional,so,

5/6 = 15/N

= 6/5 = N/15

N = (6×15)/5

N = 6×3

N = 18

Solve the equation f(x)=x3+2x2+4x+8 given that one of its roots is x=−2.

Answers

Okay, first you need to understand that function of x, (or f(x)) is y.

We now plug in x.

f(-2) or y=
-2(3)+(2•2)+4(-2)+8
f(-2)=-6+4+-8+8

f(-2)=-2

When x=-2, y=-2. Lets plug it back in to see if its true.

-2=-2(3) + (2x2) + (4(-2)) + 8

-2 = -6 + 4 + -8 + 8

-2 = -2.

Heart if it helps, comment if you need help.

On the number line above, point L (not
shown) is located on line segment JK so that
JL = LK. What is the position of point L?

Answers

The position of point L is halfway between points K and L

How to determine the position?

The line segment is given as:

JK

This means that the endpoints of the line are:

J and K

Also, we have:

JL = LK

So, we have:

JK = JL + LK

Substitute JL = LK

JK = JL + JL

This gives

JK = 2JL

Divide by 2

JL = 1/2 JK

Hence, the position of point L is halfway between points K and L

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Consider the following equation.
x^2-3x+2= √ x-2 + 2

Approximate the solution to the equation using three iterations of successive approximation. Use the graph below as a starting point.

please I really need this and I don't have more points to give but I will definitely MARK BRAINLIEST

Answers

The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.

What is the Quartic Formula?

The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.

What is the solution to the above question?

First we restate the above equation:

x²-3x+2= √(x-2) + 2

Next we remove square roots

[tex]x^{4}[/tex] - 6x³ + 9x² = x - 2

Add two to both sides

→ [tex]x^{4}[/tex] - 6x³ + 9x²+2 = x - 2 +2

→  [tex]x^{4}[/tex] - 6x³ + 9x²+2 = x

Subtract X from both sides

→  [tex]x^{4}[/tex] - 6x³ + 9x²+2 -x = x -x

→  [tex]x^{4}[/tex] - 6x³ + 9x²+2 - x= 0

Using the Quartic formula to solve the fourth order equation:
a[tex]x^{4}[/tex] + bx³ + cx² + dx + e

The resolution of x is given as:

x = 2.691085, 3.346753

Because the fraction nearest to 3.4 is 55/16

hence, the correct answer is Option A.

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Use the following set of data: 78, 78, 83, 85, 89, 91, 95, 98 what is the median for the set of data? (a) 85 (b) 89 (c) 87 (d) 98 please help!!!!!!!!!!!!!1

Answers

There’s a repetitive pattern to this set of data but the answer would most likely be (D) 98

Mikal is proving that AE ≅ CE .

Triangles A B E and C D E are connected at point E. Angles A B E and E D C are right angles. The lengths of A C and D C are congruent.

Which reason does the ♣ represent in Mikal’s proof?
SAS
SSS
ASA
AAS

Answers

The reason that this represent in Mikal’s proof regarding the triangle is SAS.

How to illustrate the triangle?

It should be noted that a triangle is a shape that has three sides and angles.

The SAS implies the side angle side. It shows that any two sides and angles that are included between the sides of an angle are equal to the other two sides.

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Answer:

AAS

Step-by-step explanation:

2022 edge

PLS help asap!!!!!


Which equation represents the line that is perpendicular to y = 6 and passes through (-8,-2)?

Answers

Answer:

The answer is a since non of the other answer would go throught that point

Hope This Helps!!!

A can of soup has a height of 10 cm. If the volume of the can is 363 cubic cm, what is its radius?

Answers

The radius of the circular cross-section of the can of soup is; 3.4cm.

What is the radius of the can of soup?

Since, the can has a height of 10cm and the volume of the can is 363cm³, it follows that the area of the circular cross-section can be evaluated as;

A = 363/10 = 36.3cm²

Hence, it follows that the radius can be evaluated as follows;

36.3 = 3.14 × r²

r² = 36.3/3.14

r² = 11.56

r = 3.4cm

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The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit on the graph.


A graph titled Plant Height shows Number of Weeks on x axis and Height of Plant in cm on y axis. The scales on both x and y axes are shown from 0 to 5 at increments of 5. The graph shows dots at the ordered pairs 0, 1 and 0.5, 1.5 and 1, 2 and 1.5, 2.5 and 2, 2.8 and 2.5, 3 and 3, 3.4 and 3.5, 3.5 and 4, 4 and 4.5,4.5 and 5, 5. A straight line joins the ordered pairs 0, 1 and 5, 5


What would most likely be the approximate height of the plant after 8 weeks?


11.0 centimeters

9.25 centimeters

8.8 centimeters

7.4 centimeters

(Please show your work)
Thank you!

Answers

Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:

m = (5 - 1)/(5 - 0) = 4/5 = 0.8.

Hence the equation that gives the approximate height after x weeks is:

y = 0.8x + 1.

After 8 weeks, the expected height is:

y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.

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Call a number quasi-prime if it is composite but not divisible by 2, 7, or 11. For instance, the five smallest quasi-prime numbers are 5, 9, 15, 25, 27, and 39. There are 95 prime numbers less than 500. How many quasi-prime numbers are there less than 500

Answers

The number of quasi-prime numbers that are less than 500 = 92

What are quasi-prime numbers?

Quasi-prime numbers are those numbers that are also known as semi prime numbers which can not be divided by 2,7 or 11.

They are often derived from prime numbers which are 95 in number from 2 - 499. ( less than 500).

The 95 prime numbers - 3 numbers( such as 2,7 or 11) = 92

Therefore, the number of quasi-prime numbers that are less than 500 = 92

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4= 3/7(3x+14)
Solve for x in simplest form.

Answers

[tex] \large{ \boxed{ \tt{ x = \frac{ - 14}{9} }}}[/tex]

- Please see the attached picture for full solution!:)

------------- HappY LearninG <3 ---------

The above answer is correct! Just took and got correct

10. Which is the equation of a line that is perpendicular to the line represented by y=3/4x-1/2

Answers

y = -4/3x -1/2 , perpendicular slopes are opposite reciprocals

A sports league has 10 teams. Each team must send at least one player to the league's annual meeting, but may send as many as 5 if space is available based on the cost of the meeting. Holding the meeting costs the league $600 for the facility, plus $50 per player for food and materials. The league cannot spend more than $1900 on the meeting. Which inequality shows the number of players, n, who could be at the meeting?​

Answers

can I get your number personally

Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below:

A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1.

Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?

Reflection over the x-axis followed by a translation to the right by 2 units
Reflection over the y-axis followed by a translation to the left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units

Answers

The figure ABCD reflected over the y-axis followed by a translation to the left by 2 unit to form figure A'B'C'D'

What is a transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure.

The figure ABCD reflected over the y-axis followed by a translation to the left by 2 unit to form figure A'B'C'D'

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help me please i dont understand

Answers

Answer:

96 ft^2.

Step-by-step explanation:

Area of shaded region = area of the original rectangle - area of the one removed

= 8 * 16 - 8*4

= 128 - 32

= 96

A distance travaled by train in three hours with a constant speed of r miles per hour

Answers

The distance travelled by the train with constant speed of r miles will be 3r.

What is Speed?The most crucial scientific notion is measurement. Base or physical fundamental units are used to quantify a wide range of quantifiable quantities. One such measurable metric is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance. Let's explore speed in-depth in this session. The pace at which an object's location changes in any direction. When an object travels the same distance in the same amount of time, it is said to be moving at a uniform speed. When an object travels a different distance at regular intervals, it is said to have variable speed.

We know the formula of distance linking the speed and the time.

Distance = speed × time

Substituting the given values to get:

Distance = r × 3

Distance = 3r

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Write down a multiple of 9 that is between 60 and 80

Answers

Answer:

72

Step-by-step explanation:

9×8 = 72 which means that 72 is a multiple of 9 lying between 60 and 80.

Do not forget to mark as brainliest if u like my answer.

63 and 72 are both multiples of 9 between 60 and 80

IJ=
Help me please thanks

Answers

Answer: 11

Step-by-step explanation:

By the secant-secant theorem,

[tex]5(5+7)=(JK)(15)\\\\60=(JK)(15)\\\\JK=4\\\\\implies IJ=15-4=11[/tex]

Can someone help me out on this problem and show work

Answers

Step-by-step explanation:

1. multiply by 8

2. divide by 2

Answer:

4096, 125

Step-by-step explanation:

In the first sequence, notice that each term increases by a factor of 8 (multiplied by 8 each time). Therefore, the fourth term would be 64*8 = 512, so the fifth term is 512*8 = 4096.

In the second sequence, each term decreases by a factor of 2 (divided by 2 each time). The fourth term would be 500/2 = 250, so the fifth term is 250/2 = 125.

Can someone help me out and show work

Answers

Answer: [tex]5(3)^{n-1}[/tex]

Step-by-step explanation:

The common ratio is 15/3 = 5.

The first term is 3.

So, the explicit rule is [tex]5(3)^{n-1}[/tex]

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