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.

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°

Answer:

3.12mm= 31,2cm

3.12= 0.312m

3.12 = 0.000312km

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).

Answer:

B

Step-by-step explanation:

180 - (25 + 55) = 180 - 80 = 100°

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

Answer:

an = 8n − 65 is the correct answer

Answer:

8

Step-by-step explanation:

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

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

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!

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

Answer:

Step-by-step explanation:

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 ).

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

Answer: 7:00

Step-by-step explanation:

hope that helps

Answer:

3.006, 3.06, 3.4, 3.4051

Step-by-step explanation:

3.006 < 3.06 < 3.4 < 3.4051

Answer:

20.740

Step-by-step explanation:

This is right.

Answer:

-2

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 5 / -6 - (-4)

4 / -2

= -2

Answer:

this is a formula basexhight=Area

Step-by-step explanation:

Answer:

9.8

Step-by-step explanation:

=5.9 . tan 59° = 5.9 × 1.66 = 9.8

Answer:

A. 1,250 m

Step-by-step explanation:

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

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!

Answer:

4³=4*4*4 is a required expanded form.

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

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

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].

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.

Answer:

56+73

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

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]

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

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

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

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

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

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