Two of the interior angles of a polygon are 134° and 156° and each of the remaining angles is 151°. Find the number of sides of the polygon.

Answers

Answer 1

The number of sides of a polygon with interior angles of  134° and 156° and each of the remaining angles as 151° is 12 sides.

Polygons

The sum of the exterior angles of a polygon is 360°. For regular polygons the exterior angles are the same (congruent).

Therefore,

Interior angle  + exterior angle = 180°

Therefore,

156 + x = 180

x = 180 - 156

x = 24°

134 + y = 180

y = 180 - 134

y = 46°

180 - 151 = z

z = 29°

sum of exterior angle = 360 degrees.

Therefore,

360 - 46 - 24 = 290°

Then,

290 / 29 = 10

The number of sides = 10 + 2 = 12 sides

learn more on polygon here: https://brainly.com/question/473364


Related Questions

The mean of 5 numbers is 8.four of the numbers are 7,9,11 and 5.find the fifth number.

Answers

Answer:

  8

Step-by-step explanation:

One way to solve problems involving the mean of a data set is to consider the way the numbers relate to the mean.

When we subtract the mean from the given numbers, we find the differences are ...

  -1, 1, 3, -3

The sum of these differences is 0. The missing number will make the toal of all differences from the mean be zero. Since it is already zero, the missing number is the mean. The missing number is 8.

The perimeter of the figure is 90ft. What is the area.
Additional knowledge: figure is a semi circle, use 3.14 or 22/7 as pi to solve

Answers

Answer:

1289.8089172

Step-by-step explanation:

if you do 90 x 2 = 180 you get the circumference of what would be the complete circle, the formula for area with circumference is A = (C^2/4x3.14) so inserting 180, the answer is 2579.61783439, and half of that is a semi circle so 2579.61783439/2 = 1289.8089172

Find the area of the figure.

Answers

Answer:

55 sq meters

Step-by-step explanation:

Area of big triangle 7x5=35/2

but there's two big triangle so 35/2 x 2 =35

area of small triangle 5x4=20/2 10

10 x 2 =20. And then combine 20+35=55

So the area is 55 sq meters.

I will give you brainlyest and give you points​

Answers

Answer:

VOL_cone is 70.7

which is LESS THAN

the vol of cylinder. VOL_cyl is 71.6

Step-by-step explanation:

Volume of a cone:

V= (1/3)pi•r^2 • h

=(1/3)pi•3^2 • 7.5

= 70.7 cubic inches

(rounded to tenths this is the same if you use a pi key on the calculator or if you use 3.14)

The Volume of a cylinder:

V = pi•r^2 • h

= pi• 2.25^2 • 4.5

= 71.6 cubic inches

(more accurate with pi key, using 3.14 it rounds to 71.5)

The last blank could be the words "less than" but if they are asking for a fraction or percent, calculate by putting the big number on the bottom and the smaller number on top.

What is the velocity of the plane that travels 3000km in 5 hours?

Answers

Answer:

600km/h

546.807 fps

0.1666667 km/s

Step-by-step explanation:

Use which ever unit youd want to in this scenereo, I'd use 600km/h

3000 / 5 = 600

Please help correct answer wins crowns

Answers

Answer:

Given equation: x + 2y = 7

Rearrange the given equation to make y the subject:

      [tex]\sf x + 2y = 7[/tex]

[tex]\sf \implies 2y=7-x[/tex]

[tex]\sf \implies y = \dfrac12(7-x)[/tex]

Now input the given x-values into the equation to determine the y-values:

[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]

[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]

[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]

[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]

[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]

[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]

As ordered pairs: (-2, 4.5)  (-1, 4)  (0, 3.5)  (1, 3)  (2, 2.5)  (3, 2)

Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.

how long will a 100 litre bath run if the water is running at a rate of 12 litres per minute

Answers

The answer to this question is 8.3L as you divide 100 by 12

In the spinner above, the section labeled *2* is twice as large as each of the sections labeled “3,” “4,”and “5”; the section labeled "1” Is three times as large as each of the sections labeled "3” “4” and “5”About how many times should Larry expect to land on "1"

A. 100
B. 75
C. 40
D. 25

Thank you!

Answers

Answer:

B.75

Step-by-step explanation:

The variables y and x have a proportional relationship, and y = 5 when x = 4.

What is the value of x when y = 8?

Answers

Answer:

[tex]\boxed{a = 6.4}[/tex]

Step-by-step explanation:

Given:

[tex]x:y = (4):(5)[/tex]

Let the value of "x" be known as "a".

[tex]x:y = a:8[/tex]

Setting up the proportion:

[tex]\rightarrow 4:5 = a :8[/tex]

Multiplying the middles and the extremes:

[tex]\rightarrow 5a = 4 \times 8[/tex]

Simplifying the RHS:

[tex]\rightarrow a = \dfrac{4 \times 8}{5}[/tex]

[tex]\rightarrow \boxed{a = 6.4}[/tex]

Thus, the value of x is 6.4 when y is 8.

Answer:

[tex]\sf x=\dfrac{32}{5}[/tex]

(or x = 6.4 if you want it in decimal form)

Step-by-step explanation:

If y and x have a proportional relationship, then:

y = kx   (for some constant k)

Given:

x = 4y = 5

Substitute the given values into the equation to find k:

⇒ 5 = k(4)

⇒ k = 5/4

Therefore, [tex]\sf y=\dfrac54x[/tex]

When y = 8, substitute y = 8 into the equation and solve for x:

[tex]\sf \implies \dfrac54x=8[/tex]

[tex]\sf \implies x=8 \cdot \dfrac45[/tex]

[tex]\sf \implies x=\dfrac{32}{5}[/tex]

What is the measure of

Answers

Answer:

since it goes down a certain way and it goes down then B will go the same way as a evil ghost literally down to the phone the top right to the left like see if I just a little bit shorter Jay will go all the way up to age and we will go to k

What is the median: _____

enter the whole number and only 1 decimal value in this answer

Answers

Answer:

55.5

Step-by-step explanation:

First, we arrange the numbers from smallest to largest and find the one in the middle. Because there are two in the middle we will add them and multiply them by two, giving us our answer. 46+65=111  111 divided by 2=55.5.

The length of the hypotenuse in a 45°-45-90 triangle is 7sqrt10 units. One of the legs is 7sqrt5 units. What is the length of the other
leg?
O 7sqrt5units
O 14sqrt5units
O 35 units
0 70 units

Answers

Answer:

7[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the legs of a 45°- 45°- 90° triangle are congruent , then

one leg = 7[tex]\sqrt{5}[/tex]

the other leg = 7[tex]\sqrt{5}[/tex]

Is (-4, -1) a solution to this system of equations?

y = 5/2x + 9
y = 1/2x + 1

Yes or no

Answers

Answer:

yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)

Step-by-step explanation:

PLEASE HELP ASAP 20 POINTS

Answers

Answer:

1. 200

2. 50

Step-by-step explanation:

1. you put 10 over 5 as a proportion with x over 100 on the other side

2. you put 5 over 10 as a proportion with x over 100 on the other side

The radius of a circle is 2 feet. What is the
circle's circumference?
r=2 ft


Answers

Given -

the radius of a circle is 2 feet. ie. r = 2ft

ps - use 3.14 for π

To find -

the circle's circumference

Solution -

We know to find the circumference of a circle we use the formula C=2πr.

Doing the same,

C = 2 × 3.14 × 2

C = 12.56 feet

[tex]\sf\large\underline{Given:-}[/tex]

[tex]\rightarrow[/tex] Radius(r) of the circle = 2 ft.

[tex]\rightarrow[/tex] Value of Pie(π) = 3.14

[tex]\sf\large\underline{To\: Find:-}[/tex]

[tex]\rightarrow[/tex] Circumference of the circle.

[tex]\sf\large\underline{Formula \: Used:-}[/tex]

[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex]

[tex]\sf\large\underline{Solution:-}[/tex]

[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex](putting the value of π and r from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=2×3.14×2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=12.56\: ft.}[/tex]

Therefore, circumference of the given circle = [tex]\sf{12.56\: ft.}[/tex]

_____________________________

Hope it helps you:)

Let m and n be two positive integers greater than 1 . If

[tex] \displaystyle\sf \lim_{a\to 0 }\bigg\lgroup \dfrac{e^{\cos(a^n)}-e}{a^m}\bigg\rgroup =-\bigg\lgroup \dfrac{e}{2}\bigg\rgroup [/tex]

Then the value of [tex]\dfrac{m}{n}[/tex] is ? ​

Answers

SOLUTION :-PLEASE CHECK THE ATTACHED FILE

The chef made 45 pancakes in 6 minutes. How many pancakes did she make in 1 minute?

Answers

Answer: 7.5 or 7 1/2

Step-by-step explanation:

Divide 45 divided by 7

What is the solution to h/-24<_18?

Answers

Answer:

h   ≥  -432

Step-by-step explanation:

h/-24<=18

Multiply though by -24:

h  ≥  -24*18

h   ≥  -432  

Note: the inequality signs flips as we are multiplying both sides by a negative value.

Solve for e:2e-13+8=135

Answers

Answer:

e = 70

Step-by-step explanation:

2e - 13 + 8 = 135

2e - 5 = 135

2e = 135 + 5

2e = 140

divide both sides by 2

e = 70

What is the solution to the linear equation? –12 3b – 1 = –5 – b b = –2 b = –1.5 b = 1.5 b = 2

Answers

The solution of the linear system is given by using an arithmetic operation. Then the value of b is 2.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The linear equation is given below.

–12 + 3b – 1 = –5 – b

The value of b will be given as

Add b both sides, we have

–12 + b + 3b – 1 = –5 – b + b

           –13 + 4b = –5

Add 13 on both sides, we have

13 – 13 + 4b = – 5 + 13

              4b = 8

Divide both sides by 4, we have

b = 2

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

The fourth option, 2

Lee says 20% is more than 70% of 70% of 20. Is lee correct?

Answers

Answer:

yes

Step-by-step explanation:

75/100×75/100=49/100

49/100×20=8.58.5 % Is more than 20%

The length of the base of a parallelogram is 18 centimeters. the parallelogram has an area of 450 square centimeters.
what is the height of the parallelogram?
enter your answer in the box

Answers

Answer:

h = 25 cm

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

given A = 450 and b = 18 , then

18h = 450 ( divide both sides by 18 )

h = 25

Answer:

h = 25cm

Step-by-step explanation:

The following stem-and-leaf plot represents the scores earned by Mr. Wood's class on their most recent science test.



How many of the students scored less than an 85?

10
12
11
9

Answers

Answer:

11

Step-by-step explanation:

If you count the total values

it equals 11

round 4184 to the nearest hundereth

Answers

The nearest hundred is: 4200

Answer:

4200

Step-by-step explanation:

I got that answer because your problem asked for the hundredth. Pretend the first 4 isn't there for a moment and round 184 to the nearest hundredth. Then place the 4 in front of what you got.


Pls help i am extremly stressed with this question

Answers

Answer:-7/8>-0.60

C is not true

hello evryone. please help if you know the answer. donr help if u dont know the answer. ill give brailest to the first person that answers

Answers

a WHOLE is always simplified to "1", namely 100/100 = 1, 57/57 = 1 and so on.  Well, in this case we have a total of 21 students, so 21/21 is all of them, their "whole", but we also know that 6 of them read about animals and the rest about plants, so

[tex]\stackrel{whole}{\cfrac{21}{21}}\qquad \qquad \cfrac{\stackrel{animals}{6}~~ + ~~\stackrel{plants}{15}}{21}\implies \cfrac{6}{21}~~ + ~~\stackrel{plants}{\cfrac{15}{21}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{15}{21}\implies \cfrac{3\cdot 5}{3\cdot 7}\implies \cfrac{3}{3}\cdot \cfrac{5}{7}\implies 1\cdot \cfrac{5}{7}\implies \boxed{\cfrac{5}{7}}[/tex]

Answer:

I think its 5 over 7

Step-by-step explanation:

because 6-21 equals 15 so 15 is how many read about plants out of the total students at the library which is 21.if you divide 15 over 21 by 3 you get 5 over 7

Find the gradients of lines A and B.​

Answers

Answer:

A=4

B=-2

Step-by-step explanation:

the gradient to B is a negative coz the line is sloping downwards

Answer:

m (A) = 4

m (B) = - 2

Step-by-step explanation:

choose any 2 coordinates on line A to use it in the formulae

no need to do so for line B because the y-int and x-int both are clear.

What is the solution to the equation?
Choose the student who solved the equation correctly.

12a = 6

Maria's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = 2.
Jessi's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = one-half.
Marcus's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 1.
Trevor's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 2.

9.1k = 63.7



The solution is
.

Answers

Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2


YOUR ANNSWER IS B OR JESSI’S WORK.

Answer:

Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2

Step-by-step explanation:

so it's B or jessi work

What is the length of a line segment with endpoints 3, 2, and -3, -4, in
the simplest radical form

Answers

[tex] \qquad \qquad \qquad\large\overbrace{\underbrace{\underline{ \boxed{ \sf \:Answer }}}}[/tex]

Let's use distance formula :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {6}^{2} + {6}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {6}^{2}(1 + 1) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 6\sqrt{ 2 } \: \: units[/tex]

Maryam had to sail 4 2⁄3 miles to reach her destination. At the end of the day, she had sailed 3 1⁄3 miles. How far was she from her destination?

Answers

1 1⁄3

Step-by-step explanation:

In order to find how far was she from her destination

We substract 4 2⁄3 from 3 1⁄3

=> 4 2⁄3 - 3 1⁄3

=> 1 1⁄3 (Decimal: 1.333333)

Answer:

1 1/3 miles

Step-by-step explanation:

2-1

4 2/3-3 1/3= 1-----------

3

=1 1/3miles

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