An n-sided polygon has one interior angle of 90°. The other interior angles are all equal.
If the size of one of the equal angles is 150°, calculate the value of n.

Answers

Answer 1
n = 10

For a regular polygon:
Each exterior angle = 360 / n
Each interior angle = 180 - 360/n
So sum of interior angles = n(180 - 360/n) = 180n - 360

For your polygon the sum of the interior angles = 90 + 150(n - 1) = 90 + 150n - 150 = 150n - 60

So 180n - 360 = 150n - 60
180n - 150n = -60 + 360
30n = 300
n = 10

Related Questions

Help!!! Whats x ive been struggling

Answers

Answer:

x = 2

Step-by-step explanation:

GIVEN :-

KJ = 3 unitsQR = 12 unitsJL = x unitsQS = x + 6 units

TO FIND :-

The value of x

SOLUTION :-

To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-

[tex]\frac{KJ}{JL} = \frac{QR}{QS}[/tex]

[tex]=> \frac{3}{x} = \frac{12}{x + 6}[/tex]

Cross multiply the denominators.

[tex]=> 3(x + 6) = 12 \times x[/tex]

[tex]=> 3x + 18 = 12x[/tex]

Substract both the sides from 3.

[tex]=> 12x - 3x = 3x + 18 - 3x[/tex]

[tex]=> 9x = 18[/tex]

Divide both the sides by 9

[tex]=> \frac{9x}{9} = \frac{18}{9}[/tex]

[tex]=> x = 2[/tex]

What is 4³ written in expanded form?​

Answers

Answer:

4³=4*4*4 is a required expanded form.

It’s 4•4•4 ! So that makes it 64!

I ONLY HAVE 3 MoRE QUESTIONS LEFT SO PLS HELP JHKSGGDDSDFSIGDYSGDIUGS

Answers

Answer:

A. 1,250 m

Step-by-step explanation:

6,000 m - 4,750 m = 1,250 m

PLEASEEEE HELPPPPP PLEASEEEE

Answers

Answer/Step-by-step explanation:

A. The quadrilateral cam be named using the letters of the vertices. Thus, it is named as: quadrilateral LMNP

B. 82° + (3x - 1)° = 180° (adjacent angles are supplementary)

Solve for x

82 + 3x - 1 = 180

Add like terms

81 + 3x = 180

Subtract 81 from both sides

3x = 180 - 81

3x = 99

x = 99/3

x = 33

C. Opposite angles in a quadrilateral are equal. Therefore,

m<L = (3x - 1)°

Plug in the value of x

m<L = 3(33) - 1

m<L = 99 - 1

m<L = 98°

Solve 2x - 3y - 11 3x + 3y - 9 by elimination. Express your answer as an ordered pair.​

Answers

Answer:

x= 4, y = -1

Step-by-step explanation:

2x-3y=11

3x+3y=9

do addition and you should get

5x=20

x=4

plug in x into any equation

12+3y=9

3y= -3

y=-1

What is the explicit tule for this sequence?

Answers

Answer:

an = 8n − 65 is the correct answer

Convert 3.12 mm into cm, m and km.​

Answers

Answer:

3.12mm= 31,2cm

3.12= 0.312m

3.12 = 0.000312km

Two angles in a triangle have measures of 25° and 55º.
What is the measure of the third angle?
A. 135
B. 100
C. 80°
D. 30°
Help please hurry

Answers

Answer:

B

Step-by-step explanation:

180 - (25 + 55) = 180 - 80 = 100°

A gift shop at an amusement park sells key chains. The gift shop has 55 key chains. When the number of key chains is below 10, the manager will reorder. If the gift shop sells 4 key chains each day, how many days will it take before the manager has to reorder?

Answers

Answer:

12

Step-by-step explanation:

this equation can be derived from the question

55 - 4x < 10

< = less than

x = number of days

solve for x

55 - 10 < 4x

45 < 4x

x < 11.25

at the 11th day, there would be 11 keys left

on the 12th day, there would be 7 keys left

the correct answer is  12 days

Ruby is ordering some pizza! She has to pay for the cost of the pizza plus the cost of the delivery fee(cost per minute that it takes a the delivery driver to get to her house). The pizza cost $12, and it took 10 minutes for the delivery driver to get there. In total, she has to pay $15

Answers

Answer:

Delivery cost per minute = $0.3 per minute

Step-by-step explanation:

Given:

Cost of pizza = $12

Total amount pay by Ruby = $15

Time taken for delivery = 10 minutes

Find:

Delivery cost per minute

Computation:

Total amount of delivery = Total amount pay by Ruby - Cost of pizza

Total amount of delivery = 15 - 12

Total amount of delivery = $3

Delivery cost per minute = Total amount of delivery / Time taken for delivery

Delivery cost per minute = 3 / 10

Delivery cost per minute = $0.3 per minute

Recursive formula for
-4,3,10,17

Answers

Answer:

Recursive:

Step-by-step explanation:

Common difference ( d ):   17 - 10 = 7

Recursive Arithmetic:

[tex]a_n = a_{n-1} + d[/tex]

[tex]a_n = a_{n-1} + 7[/tex]

[tex]a_1 = -4[/tex]

Hopefully this helped!

Please solve for x. Round to nearest tenth, if necessary.

Answers

Answer:

9.8

Step-by-step explanation:

=5.9 . tan 59° = 5.9 × 1.66 = 9.8

how do you Calculate the area of shape in square units

Answers

Answer:

this is a formula basexhight=Area

Step-by-step explanation:

3. You owe $1,350.00 on a credit card with a 14.25% APR. You pay $300.00 at the beginning of
the month How much interest do you save by paying at the beginning of the month versus
at the end of the month?

Answers

Answer:

Step-by-step explanation:

As an aside, I don't know why Americans don't use a debit card. Usually to figure out what the monthly interest is, you divide the yearly interest by 12

14.25 / 12 = 1.875  and you keep all the decimals.

1350 * 1.875 / 100 = 16.03 is what you save, but there is more. It seems very tiny, but don't be fooled. The credit card company certainly isn't. They will likely round up to 16.04 just so hackers won't make anything if they break into someone's account.

16.04 doesn't seem like much to pay, but realize that if you had to pay it every month, it would be 192.48 a year. That on 1350 is usury.

A movie begins at 4:40 pm and it’s last 2 housers and 20 minutes

Answers

Answer: 7:00

Step-by-step explanation:

hope that helps

its 7:00, hope that helps you out!

Solve the equation 2x-4y=4 for y

Answers

The answer for 2x-4=4 is
Y= -1 + 1/2x

Does the expression have a positive or negative value? PLS NO SCAMS THANK YOU

Answers

Answer:

positive because 2 negatives being multiplied=a positive number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the expression has positive number because along with multiplying the number we should multiply sign too so when we multiply "-" * "-" it gives us "+"(positive ).

please help I don’t understand lol

Answers

Answer:

Step-by-step explanation:

32 7/12 ÷3 3/10 but an estimate​

Answers

Answer:

20.740

Step-by-step explanation:

This is right.

Help plz math question. EXPLAIN HOW YOU GOT THE ANSWER. 30 PTS btw thx if u help

Answers

Answer:

256

Step-by-step explanation:

4^4^4 = 4^(4^4) = 4^256

so written in base 4, there will be 256 zeroes after a 1.

This translates to approximately 154 digits in decimal.

Just like 2^2^2 =  2^4

there will be four zeroes after a 1.

2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).

Order these numbers from least to greatest.

3.4051, 3.006, 3.06, 3.4

I need the right answer i need the right answer

Answers

Answer:

3.006, 3.06, 3.4, 3.4051

Step-by-step explanation:

3.006 < 3.06 < 3.4 < 3.4051

We can use the formula density mass over volume to find the density of a substance square metal plate has a density of 10.7 g of per cubic centimeters and a mass of 23.54 g calculate the volume

Answers

Answer: The volume of given substance is [tex]2.2 cm^{3}[/tex].

Step-by-step explanation:

Given: Density = 10.7 [tex]g/cm^{3}[/tex]

Mass = 23.54 g

Density of a substance is the mass of substance divided by its volume.

Mathematically, [tex]Density = \frac{mass}{volume}[/tex]

Substitute the values into above formula to calculate volume as follows.

[tex]Density = \frac{mass}{volume}\\10.7 g/cm^{3} = \frac{23.54 g}{volume}\\volume = \frac{23.54 g}{10.7 g/cm^{3}}\\= 2.2 cm^{3}[/tex]

Thus, we can conclude that the volume of given substance is [tex]2.2 cm^{3}[/tex].

the slope of the line that passes through the point (-4,5) and (-6,9)

Answers

Answer:

-2

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 5 / -6 - (-4)

4 / -2

= -2

help pls pls pls plsss <3

Answers

Answer:

B and C are true

Step-by-step explanation:

domain shows all values of x

B is correct

range shows all values of y

C is correct

18-3×5+32÷4 (show with procedure fast..)​

Answers

Answer:

18-3*5+32÷4

=18-3*5+8

=18-15+8

=26-15

=11

Step-by-step explanation:

use BODMAS rule

• 18- 3× 5+ 32÷ 4

= 18- 3× 5+ 8

= 18- 15+ 8

= 18+ 8- 15

= 26- 15

= 11

Hope it helps♡

Ravi solved this question. His teacher told him he made a mistake. Can you helphim to get the correct step ? 56–(–73) = 56 + __________

Answers

Answer:

56+73

Step-by-step explanation:

find the missing length of the triangle

Answers

Answer:

B) 28 in

Step-by-step explanation:

Pythagorean thm formula:

a² + b² = c²

Given:

b = 45

c = 53

Work:

a² + b² = c²

a² + 45² = 53²

a² + 2025 = 2809

a² = 2809 - 2025

a² = 784

[tex]\sqrt{a^2} =\sqrt{784}[/tex]

a = 28

which number line shows the solution to fx-5 > 3?
9 10 11
12
13
14 15
9 10 11
12 13
14 15
+++
-6 -5 -4
-3
-2
-1
-6
-5
-4
-3
-2 -1
Dorie

Answers

Answer:

8

Step-by-step explanation:

send the -5 to where the +3 is then you can now add the value together.

a) what is 42%of 250? please explain the method......​

Answers

Answer:

105

Step-by-step explanation:

42% as a fraction is 0.42   .

multiply that with 250 to find 42% of 250.

250 * .42 = 105

Answer:

105

Step-by-step explanation:

What is 42% of 250?

Let's break this question down.

We have:

42% – A percent is a fraction out of 100. 100% being fully complete. We can express 42% as 42/100 or 0.42.

of – This symbolizes multiplication.

250 – This is our total.

Now let's set up an equation.

42% of 250

0.42 • 250 = ?

Now, multiply.

105

This is your answer.

42% of 250 is 105.

Hope this helps!

line X goes through the points (6,1) and (0,4). lone R goes through the points (0,-3 ) (-2,-2) do these lines intersect

Answers

These lines do not intersect as the points are in different cartesian grids. They have the same slope but different y-intercepts.
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