the size of an interior angle of a rectangular polygon is(3x)⁹ while the exterior angle is (X-20)⁰.find the number of side of the polygen.

Answers

Answer 1

Answer:

12 sides

Step-by-step explanation:

The sum of the exterior angle and the interior angle = 180° , then

3x + x - 20 = 180

4x - 20 = 180 ( add 20 to both sides )

4x = 200 ( divide both sides by 4 )

x = 50

Then

exterior angle = x - 20 = 50 - 20 = 30°

The sum of the exterior angles of a polygon = 360°

The number of sides n is sum divided by 1 exterior angle , that is

n = 360° ÷ 30° = 12


Related Questions

subject is algebra 2
pls show your work

Answers

Answer:

19. - 3

20. -7

Step-by-step explanation:

I think

x = - (b/2a)

= -(24/8)

= - 3

and the value or c is -7 not 7

CMIIW

-3+x=-8 what is the answer

Answers

Answer:

x=-5

Step-by-step explanation:

add 3 to -8

1 Regroup terms.

x-3=-8

x−3=−8

2 Add 33 to both sides.

x=-8+3

x=−8+3

3 Simplify  -8+3−8+3  to  -5−5.

x=-5

x=−5

Answer: x=−5

5.
Match the graph of the function with the function rule.

A. y = 1 • 4^x
B. y= 1/4 · 4x
C. y = 2 • 4^x
D. y= 1/2 · 4^x

Answers

Answer:

D. y= 1/2 · 4^x

Step-by-step explanation:

A farmer plowed 9/10 of a acre in the morning and 1/2 of an acre in the afternoon. How many acres did the farmer plow in all?

Answers

Answer:

7/5

Step-by-step explanation:

Answer:

1[tex]\frac{2}{5}[/tex] of an acre or 1.4 acres.

Step-by-step explanation:

The least common multiple of 10 and 2 is 10.

Convert [tex]\frac{9}{10}[/tex] and [tex]\frac{1}{2}[/tex] to fractions with a denominator of 10.

[tex]\frac{9}{10}[/tex]+[tex]\frac{5}{10}[/tex]

Since these fractions now have the same denominator, add them by adding the numerators.

[tex]\frac{9+5}{10}[/tex]

Add 9 and 5 to get 14.

[tex]\frac{14}{10}[/tex]

Reduce the fraction to the lowest terms by extracting and canceling out 2.

[tex]\frac{7}{5}[/tex]= [tex]1\frac{2}{5}[/tex] =1.4

hope this helps!

HELP NEEDED !!!

find the unknown angles

Answers

Angle X is 88 degrees.
This is because the exterior angle WZA and the opposite interior angle WXY which is x, of a cyclic quadrilateral measures the same.

30 points! Please help

Answers

F, because the circles are open

Answer:

Step-by-step explanation:

Domain means what is the lowest value of x on the graph and what is the highest. Our graph begins at an x value of -5 (but -5 is not included because the dot is not filled in) and goes all the way up to 2 (but 2 is not included either since the dot is not filled in. Therefore, the domain is

D = {x | x ∈ R, -5 < x < 2}

which means that the domain is in the set of real numbers that begin at -5 and end at 2, neither included.

Choice F is the one you want.

30. Writing in Math When is an estimate not as useful as an exact answer? Give an example.

Answers

Answer:

647/ 4.8 ×9.7

Step-by-step explanation:

so what you need to do is 647 round up to 650 because 1-4 you get less but more than 5-9 u get more than that

4.8 becomes 5 and 9.7 becomes 10

650 /5×10

and u ill get 1,300 i hope this hepls u :)

you roll a fair six-sided die. the die shows an odd number or a number less than four

Answers

Answer: 3

Step-by-step explanation:

| 7x-2 | +3 = -1 solve for x

Answers

Answer:

x = -2/7 or

x = 6/7

Step-by-step explanation:

|7x-2| + 3 = -1  subtract 3 from both sides

|7x-2| = -4 now there are two probabilities

7x-2 = -4 or

7x-2 = 4 if first probability the value of x would be:

7x-2 = -4 add 2 to both sides

7x = -2 divide both sides by 7

x = -2/7 for the second probability the value of x would be:

7x-2 = 4 add 2 to both sides

7x = 6 divide both sides by 7

x = 6/7

if f(x)=4x-5 what is the value of f(2)

Answers

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Value of Polynomial :

The value of a polynomial p(x) or f(x) at x = α is obtained by putting x = α in p(x) or f(x) and it is denoted by p(α) ...!

Required Solution :

Let f(x) = 4x - 5

⇒f(2) = 4(2) - 5

= 4 × 2 - 5

= 8 - 5

= 3

Hence, If f(x) = 4x-5 then the value of f(2) will be 3 ...!

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Answer:

f(2) = 3

Step-by-step explanation:

f(x) = 4x-5f(2) = (4×2)-5f(2) = 8-5f(2) = 3

HOPE THIS HELPS YOU......

Find the solution to the system represented by this matrix

Answers

Answer:

[tex]$x=\frac{-1}{5},[/tex]

[tex]y=\frac{2}{5},[/tex]

[tex]z=3$[/tex]

Step-by-step explanation:

Given system of equations in the form of the matrix shown below,

[tex]$A=\left[\begin{array}{ccc}1 & -2 & 0 \\ 1 & 3 & 5 \\ 1 & -1 & -1\end{array}\right] \quad B=\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{ccc}1 & -2 & 0 \\ 1 & 3 & 5 \\ 1 & -1 & -1\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{ccc}2 & -6 & -4 \\ -2 & -1 & 1 \\ -10 & 5 & 5\end{array}\right]\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{c}8+6-12 \\ -8+1+3 \\ -40-5+15\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{c}2 \\ -4 \\ -30\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{l}\frac{2}{-10} \\ \frac{-4}{-10} \\ \frac{-30}{-10}\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}-1 / 5 \\ 2 / 5 \\ 3\end{array}\right]$[/tex]

Learn more about matrix refer:

https://brainly.com/question/12661467

Supposed (4.2 s, 9.6 ft) and (6.7 s, 12.3 ft) are points on a graph of a linear function.
What is the slope of the graph in decimal form.

Answers

The slope of the graph in decimal form is 1.08.

By geometry we know that a line can be constructed after knowing the location of two distinct points. Lines in explicit form are defined by slope and intercept, the former is calculated by the secant line equation and the intercept by solving a linear function.

If we know that [tex](x_{1}, y_{1}) = (4.2, 9.6)[/tex] and [tex](x_{2}, y_{2}) = (6.7, 12.3)[/tex], then the slope of the graph is:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m = \frac{12.3-9.6}{6.7-4.2}[/tex]

[tex]m = 1.08[/tex]

The slope of the graph in decimal form is 1.08.

We kindly invite to see this problem related to linear functions: https://brainly.com/question/21604915

Which transformation carries the trapezoid onto itself?
O a reflection across the line x = -1
O a rotation of 180°about the origin
O a rotation of 180° about the point (-1.0)

Answers

Answer:

a rotation of 180° about the origin

I will give you brainliest and points like 100.

5 of the students in Lena's class have been in ballet and 9 have been in a play. 2 students have been both in ballet and in a play. How many students have been in ballet but not in a play?

Answers

Answer:

3 have only been in ballet

Step-by-step explanation:

If

5 have been in ballet

9 have been in play

2 have been in both ballet and a play

Then

3 have only been in ballet

7 have only been in a play

Answer:

4 students

Step-by-step explanation:

add 2 + 5 = 7

add 9 + 2 = 11

subtract 11 - 7 = 4

there was 2 students added to the 5 students, there was 2 students added to the 9 students/ Sorry if incorrect, i worked it out 4 times.

SOMEONE NEEDS TO EXPLAIN WHY 1.40 DIDNT WORK ON MY QUESTION 2.1/1.488

Answers

My calculator shows that

(2.1)/(1.488) = 1.41129

which is approximate. If you want the result to two decimal places, then it would be 1.41 and not 1.40

Try 1.41 and it should work out, assuming your teacher wants two decimal places.

convert 40/7 into a mixed number​

Answers

Answer:

5 5/7

Step-by-step explanation:

can u help me solve the problem plzzzzz​

Answers

Step-by-step explanation:

This is the same as

[tex]( \frac{2}{3} ) {}^{5 {}^{0.4} } = \frac{2}{3} {}^{2} = \frac{4}{9} [/tex]4/9 is the answer

4/9 or 4 over 9 is the answer

Find the value of 9w + 1 given that -5w -5 = 5

Answers

Answer:

-17

Step-by-step explanation:

First, let's see what the value of w is, by solving -5w - 5 = 5.

-5w - 5 = 5            Add 5 on both sides.

-5w = 10                Divide -5 on both sides.

w = -2

Now, we know that w is equal to -2, let's plug it in to find the value.

9(-2) + 1                 Distribute.

-18 + 1                    Add.

-17

What is the surface area of a cylinder with base radius 4 and height 5?​

Answers

Answer:

around 266.188

Step-by-step explanation:

so first find the circumference of the circle, which is 2 x pi x radius

after that, multiply your circumference by the height to find the curved surface area

now find the surface aread of the base and the top, which is just 2 x pi x radius x radius

13.
Evaluate the function rule for the given value.

y= 4·2× for x = –6
A. 1/32
B. –48
C. 1/8
D. 1/16

Answers

the answer is b.-48
4•-12=-48

Answer:

B. –48

Step-by-step explanation:

Answer:y=-48

Step-by-step explanation:

4*(2*-6)=-48

Answer:

The correct answer is y= 1/16

Step-by-step explanation:

2^-6 is 1/64 multiplied by 4 is 1/16

Substitute the value of the variable into the expression and simplify.

( − 6 , − 48 )

Find the value of AB.

Answers

Step-by-step explanation:

Since all side lengths of smaller squares are equal, we have

[tex]3x+4=4x-1[/tex]

[tex]x=5[/tex]

Since length of AB is twice of the side length of smaller squares,

[tex]\bar{AB}=2(3x+4)=2(3\cdot5+4)=38[/tex]

Answer:

AB=38

SEE THE IMAGE FOR SOLUTION

i need help plzz i neeeed help

Answers

Answer:

-3+4=1

Step-by-step explanation:

Start with whichever arrow starts from 0

How would I simplify this expression

Answers

Answer:

-8n - 32

Step-by-step explanation:

Distribute the -4 to the other terms.

-4 · 2n = -8n

-4 · 8 = -32

Answer: -8n-32

Step-by-step explanation:

Expand the equation, multiply all the terms by -4: -4(2n)+(-4)(8)

Evaluate: -8n+(-32)

Simplify the +(-32) into -32: -8n-32

using the distributive property and gcf determine which of the following expressions is equivalent to: 24+32​

Answers

Answer:

GCF is 8

32x - 24 = 8(4x - 3)

Step-by-step explanation:

I need help with this question it about identifying the property of the question

Answers

Answer:

4x+1 =6x-13

6x-4x=13+1

2x=14

x=14/2

x=7

Step-by-step explanation:

the answer will be 7

hence proved

Luisa sells stuffed animals.She sells a stuffed elephant for $34.90,and the sales tax is 9% of the sale price.About how much is the sales tax on the elephant

Answers

Answer:

G.$3.15

Step-by-step explanation:

Step 1-

The estimate for the given situation for the amount is $35, the sales tax of the stuffed elephant is:

=35 x 0.09 -  Multiply by the decimal 9%

=$3.15 - Multiply the values

Result- G.$3.15

write and expression for the perimeter of the polygon. simplify the expression. (marking brainiest)

Answers

Step-by-step explanation:

Expression = x + 2x + 7 + 3x + 1

Simplication

x + 2x + 7 + 3x + 1

6x + 8

what is the answer to -|3x-9|+2=-4

Answers

entered :

-|3x-9|+2=-4

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

-|3x-9|+2 = -4

Another term is moved / added to the right hand side.

To make the absolute value term positive, both sides are multiplied by (-1).

|3x-9| = 6

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x-9|

For the Negative case we'll use -(3x-9)

For the Positive case we'll use (3x-9)

STEP

3

:

Solve the Negative Case

-(3x-9) = 6

Multiply

-3x+9 = 6

Rearrange and Add up

-3x = -3

Divide both sides by 3

-x = -1

Multiply both sides by (-1)

x = 1

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

(3x-9) = 6

Rearrange and Add up

3x = 15

Divide both sides by 3

x = 5

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=1

x=5

I hope this help you

Answer: x= 1, 5

Step-by-step explanation:

First, isolate the absolute value. Subtract two from the equation to get -l3x-9l=-6, and then divide by -1 to get l3x-9l=6.

Since an absolute value measures how far away a value is from zero, it's always positive. For example, -10 and 10 have the same absolute value, 10, because they're both 10 units away from zero.

Because of this, you create two equations; 3x-9=6, and 3x-9=-6.

For the first equation, add 9 to 6 and divide that by 3 to get x=5.

For the second equation, add 9 to -6 and divide that by 5 to get x=1.

Write an equation for the following real life scenario.
Use "t" to represent your variable.
Jasmine's cell phone company charges her $35 a month for phone service plus 0.50 for each text message. Her
total bill for the month was $51.

Answers

Answer:

[tex]35+0.50t=51[/tex]

Step-by-step explanation:

Since the $35 is a one-time fee, 0.50 is the rate, t is the variable, and 51 is the total bill, we can form the equation:

[tex]35+0.50t=51[/tex]

Answer:

0.50t+35=51

Step-by-step explanation:

0.50 is the amount for each text message so it becomes 0.50t (0.50 × text message). This is added to the monthly cost which is 35 dollars (+35) the question wants an equation as the answer so (=51).

Please help! Homework DUE TOMORROW!!!

Answers

number 10 would be C,D,E.
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