The measure of an exterior angle of a regular polygon is 72 degrees. Find the measure of an interior angle.

Answers

Answer 1
Exterior angle of a polygon = 72 degrees Polygon has 5 sides. Interior angle = 180 (n-2) / n = 180 (5-2) / 5 = 108 degrees

Related Questions

77 pints= ___gal ___qt ___pt

Answers

77 pints= 9 gallons, 2 quarts, 1 pint

HELP ASAP ALGEBRA 2 QUESTION PLEASE!!!



Consider the function f(x)=1/3 x+4.
Find the inverse of f(x) and name it g(x) . Show and explain your work.
Use function composition to show that and are inverses of each other.
Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain how your graph shows that the functions are inverses of each other.

Answers

a)
f(x) is the same as y
y=1/3 x +4

to find inverse, swap and x and y:
x=1/3 y + 4
x-4= 1/3 y
(x-4) x 3 = y
3x -12= y
                       the inverse(g(x)), is: 3x-12

b) if f(x) and g(x) are inverses of each other, than  (f о g)(x) will end up with just "x"

(f о g)(x)=x
(f о g)(x)= f(g(x))
(f о g)(x)= f(3x-12)
(f о g)(x)= 1/3(3x-12)+4
(f о g)(x)= (3x-12)/3  +4
(f о g)(x)= x-4+4
(f о g)(x)= x

c)
You will find that the graphs are mirror images of each other
the graph for f(x) is an oblique line that passes through the points(-12,4)
the graph for g(x) is an oblique line that passes through the points(4,-12)

What conclusions can be made about the series ∞ 6 cos(πn) n n = 1 and the integral test?

Answers

Depending on how the function is set up, i presume that it is a sum (epsilon) function that is being referred to. Depending on if the function is increasing or decreasing on the interval (infinity to 6??), will determine if the function is convergent or not. When 1 is plugged into cos([tex] (\pi n)n[/tex] it is positive and therefor converging. 

A secant and a tangent meet at a 90 degree angle outside the circle. What must be the difference between the measures of the intercepted arcs?
45 degrees
90 degrees
180 degrees
270 degrees

Answers

Answer:

180

Step-by-step explanation:

hope this helps you

Answer:

180 90plus90

Step-by-step explanation:

Solve for x. 23=79(6x−36)+9 Enter your answer in the box.

Answers

The value of the equation 1429/237.

Let's solve for x in the given equation:

[tex]\[23 = 79(6x - 36) + 9\][/tex]

First, distribute the 79 on the right side:

[tex]\[23 = 474x - 2844 + 9\][/tex]

Combine like terms:

[tex]\[23 = 474x - 2835\][/tex]

Now, isolate the term with x by adding 2835 to both sides:

[tex]\[474x = 2858\][/tex]

Finally, divide both sides by 474 to solve for x:

[tex]\[x = \frac{2858}{474}\][/tex]

Now, you can simplify the fraction:

[tex]\[x = \frac{1429}{237}\][/tex]

So, the solution for x is [tex]\(x = \frac{1429}{237}\).[/tex]

Final answer:

To solve the equation, distribute the 79 on the right side, combine like terms, and then isolate and solve for x to get x = 6.05.

Explanation:

To solve the equation 23=79(6x−36)+9, we first expand the right side of the equation and then isolate the term with x on one side.

First, distribute the 79:

23 = 79(6x) - 79(36) + 9,

which simplifies to:

23 = 474x - 2844 + 9.

Combine like terms:

23 = 474x - 2835.

Now, add 2835 to both sides to isolate the term with x:

2868 = 474x.

Finally, divide both sides by 474 to solve for x:

x = 2868 / 474.

After performing the division, we find that x = 6.05.

ALGEBRA 2- If f(x)= √x-3 , which inequality can be used to find the domain of f(x)?

a. √x-3 ≥ 0
b. x-3 ≥ 0
c. √x-3 ≤ 0
d. x-3 ≤ 0

Answers

b, because you can't get the square root of a negative number

Answer:

Option B

Step-by-step explanation:

The given equation function is f(x) =[tex]\sqrt{x-3}[/tex]

Domain of this function will be determined by (x-3) ≥ 0

because square root of negative numbers is not defined.

Option B is the answer.

Kyra multiplied 0.27 by a power of ten and got 2.7. What power of ten did she multiply by?

Answers

She multiplied .27*10 to get 2.7, or the first power of ten
one. the decimal only moved one place

the graph of the equation y=2x+b passes through the point (b, -3). Find b. PLZ SHOW WORK!

Answers

Substitute in the points. It doesn't matter if they ar pe variables or not, since the variable b is used already in the equation, making it possible to find.

Substitute in the y value for the y in the equation and do the same for the x.

-3=2b+b
-3=3b
-1=b

b is -1.

Hope this helps!
Your fortune is "Stop procrastinating - starting tomorrow."


Will give brainliest to person who answers first. Much appreciated

1. The physical components of computers that carry out the basic operations are:
A: software
B:hardware
C:firmware
D:vaporware

2. The piece of computer hardware that manipulates a machines memory in order to create images rapidly is the:
A:cpu
B:gpu
C:rom
D:ram

3. Pong is the first real video/ computer game
A: true
B: false

4. The magnavox odyssey was a commercial success
A:true
B: false



Answers

1. is B.hardware
2. is B. Gpu
3. false I am almost certain there was a version of a pong styled game manipulating roughly the sane code first.
4.false it was not considered a commercial success
1:a
2:c
3:b
4:a
I think these are right i might be wrong

A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

Answers

Given that, a bike wheel is 26 inches in diameter.

We need to convert bike wheel's diameter in millimeters .

Since, 1 inch = 25.4 millimeters.

So, to convert 26 into mm we need to multiply 26 each sides of this identity to convert this into mm. Hence,

1*26 inch = 25.4 * 26 mm.

So, 26 inches = 660.4 mm.

So, the bike wheel's diameter is 660.4 millimeters.

Hope this helps you!

The bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.

To convert a bike wheel's diameter from inches to millimeters,

we have to use the conversion factor, which is,

1 inch = 25.4 millimeters.

Now multiplying the diameter of the bike wheel,

which is given as 26 inches,

by the conversion factor of 25.4 millimeters per inch.

⇒ 26 inches x 25.4 millimeters per inch = 660.4 millimeters

Therefore, the diameter of the bike wheel in millimeters is 660.4 millimeters.

Therefore, we can convert inches to millimeters by multiplying by 25.4, which is the number of millimeters in one inch.

In this case, the bike wheel's diameter of 26 inches is equivalent to 660.4 millimeters.

To learn more about the measurement unit visit:

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1.45833 as a fraction

Answers

1 46/100
simplify
1 23/50

Which linear inequality is represented by the graph?

A) y > 2/3x - 2

B) y < 2/3x + 2

C) y > 2/3x + 1

D) y < 2/3x - 1

I NEED THE ANSWER ASAP ‼️

Answers

D) y < 2/3x - 1 is the answer you are looking for this is because the negative one if your y intercept and the 2/3 is your slope this makes the line and the sign draws the shading down with a dotted line.

Answer:

y <  [tex]\frac{2}{3}[/tex]x -1 .

Step-by-step explanation:

Given : Graph.

To find : Which linear inequality is represented by the graph.

Solution : We have given graph with shaded down .

We know that if the graph is shaded down then equation of inequality has less than sign.

On comparing with line slope form y = mx +b.

Where m = slope  and b = y intercept ( where the graph line cut at y axis)

Then b = -1  and slope  = [tex]\frac{2}{3}[/tex].

Then equation become

y <  [tex]\frac{2}{3}[/tex]x -1 .

Therefore, y <  [tex]\frac{2}{3}[/tex]x -1 .

order from greatest to least : 0.12 with bar over 2, 0.1225, 3/25, 7/125

Answers

convert each to  decimal form
 that will be 0.122... , 0.1225, 0.12 and 0.056

so from greatest to least that is  0.1225 , 0.1222...., 0.12, 0.056

that is 0.1225 , 012(with bar over the 2) , 3/25 , 7/125

If log3⁡⁡(4y−1)=log3⁡⁡(2y+7), what is the value of y?

Enter your answer as a number, rounded to one decimal place, if necessary, like this: 42.5

Answers

Knowing that there are two logs on both sides of the brackets, they cancel out. 
This leaves: 

4y-1=2y+7 (solve for y) 
4y-2y=7-1
2y=6
y=3 

Hope this helped :) 

If other factors are held constant, the bigger the sample is, the greater the likelihood of rejecting the null hypothesis.
a. True
b. False

Answers

the answer should be false

An angel is 5 times its supplement find the measure of bith angels

Answers

now, supplementary angles sum up to 180°.

so hmmm say one has a measure of a°, and her sibling is 5 times larger, or 5 times that much, or 5a°, we know that both will sum up to 180°, thus

[tex]\bf a+5a=180\implies 6a=180\implies a=\cfrac{180}{6}\implies a=30[/tex]

so, the smaller is that much, and her sibling is 5a, and you know how much that is, unless you mean angels, and  hmmmm both have wings and feathers and are wearing a gown, but doubt that's the case.

Karen buys 8.5 pounds of flour. She uses 2.5 pounds to bake bread. She keeps the rest of the flour in small storage bags. If each storage bag contains ⅖ pound of flour, how many storage bags does she use?

Answers

8,5-2,5=6 so she got 6 pounds of floor left
6÷2/5=15 so she needs/uses 15 bags!

Find the total amount after 2 years of an investment of $1500 in an account paying 4% interest, compounded quarterly.

A=P(1+r/n)nt                  ( '' nt '' are exponents )
Question 1 options:

$1622.40


$1624.29


$1560


$1620


Answers

The formula is
A=P(1+r/n)^nt
A future value?
P present value 1500
R interest rate 0.04
N compounded quarterly 4
T time 2 years
A=1,500×(1+0.04÷4)^(4×2)
A=1,624.29

So the answer is B
Hope it helps!

Which expression is equal to 728‾‾‾√−563‾‾‾√ ?



−11√ 7
√7
- √7
−37√7

Answers

The answer is The 3rd one

Answer:

The correct option is 3.

Step-by-step explanation:

The given expression is

[tex]7\sqrt{28}-5\sqrt{63}[/tex]

It can be written as

[tex]7\sqrt{4\times 7}-5\sqrt{9\times 7}[/tex]

[tex]7\sqrt{2^2\times 7}-5\sqrt{3^2\times 7}[/tex]

Using product property of radical expressions, we get

[tex]7(\sqrt{2^2}\times \sqrt{7})-5(\sqrt{3^2}\times \sqrt{7})[/tex]               [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]7(2\times \sqrt{7})-5(3\times \sqrt{7})[/tex]

[tex]14\sqrt{7}-15\sqrt{7}[/tex]

Taking out common factors.

[tex]\sqrt{7}(14-15)[/tex]

[tex]\sqrt{7}(-1)[/tex]

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

Therefore the correct option is 3.

-2log5 7x=2

the 5 is small please help me

Answers

-2log_5 7x = log_5 2

log_5[1/(7x)^2] = log_5 2

log_5(1/49x^2) = log_5 2

log_5(1 - 49x^2) = log_5 2

1 - 49x^2 = 2

You finish.

Write the expressions as a difference and simplify it: 17x−13y+8 and 20x+6y.

Answers

Final answer:

The two expressions 17x−13y+8 and 20x+6y can be rewritten as a difference to be -3x - 19y + 8.

Explanation:

To rewrite the two expressions 17x−13y+8 and 20x+6y as a difference, you can first list them separately and then combine by subtraction.

17x - 13y + 8

and

20x + 6y

. The difference between these two expressions is obtained by performing the subtraction as follows: (17x - 13y + 8) - (20x + 6y). Now, you can simplify this by removing the parentheses and switching the sign of the terms being subtracted, which results in:

17x - 13y + 8 - 20x - 6y

. Finally, you combine like terms, x-terms with x-terms and y-terms with y-terms, ending up with:

-3x - 19y + 8

which is the simplified difference of the two expressions.

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Suppose you flip a coint and roll a 10-sided die. what is the probability of flipping tails and rolling a 7?

Answers

The probability of flipping a tail is 1/2.
The probability of rolling a 7 is 1/10

The two events are independent. Therefore the probability of flipping a tail and rolling a 7 is
(1/2)*(1/10) = 1/20

Answer: 1/20

A function is created to represent amount of money spent on lunch if you spent five dollars a day. What restrictions would be made to the range?
A. The range would only include integers
B. The range would only include negative integers
C. the range would only include positive integers
D. the range would include allreal number

Answers

D. the range would include all real numbers.

So far this semester, Zachary has test scores of 92, 98, 65, 77, 91, and 85. He has one more test to take before the semester ends. What must he score on the last test to earn an average of 85 for the semester? Type a numerical answer in the space provided.

Answers

he has to at least make an 87
et X be the last test. 
Therefore, 
85=(92+98+65 +77+91+85+X) / 7 
Solving this equation^, 
we get X=87.

Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s collection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?

Answers

suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160

Answer:

160 stamps

Step-by-step explanation:

Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10

The new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9

9(3x+10)=7(5x-10)

27x+90=35x-70

160=8x

x=20

So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have

Use the right-hand rule to estimate the area under the graph of y = x2 + 2 for values of x from 0 to 3.

Answers

The answer to your specific question is [tex]\approx15.5[/tex].

Which of the sums below can be expressed as 6(3 + 9)? (3 points)

18 + 54

18 + 9

9 + 15

6 + 54

Answers

This could be answered by using the distributive property.

This is an algebra property which is done to multiply a particular term and two or more terms in a set of parentheses.

So for our problem, 6 (3 + 9):

You first, multiply 6 x 3 = 18

And multiply 6 x 9 = 56

Thus, the answer is 18 + 56 = 72

But following the order of operations, you should add first the number inside the parenthesis and then multiply it to the number outside the parenthesis but it will the same answer still. (6 x 12 = 72)

Answer:

18 + 54

Step-by-step explanation:

Take 6 x 3 = 18

6 x 9 = 54

Answer is 18+54

to check answer 18 + 54 = 72

6(3+9)

6(12)= 72  

State the slope of the line shown below.


0
1
–2
undefined

Answers

The slope would be 0 because the line does not intersect the x - axis.

Answer: 0

Step-by-step explanation:

From then given graph , it can be seen that the line is parallel to x axis passing through [tex]y=-2[/tex].

We know that if two lines are paralleled then they have equal slope.

We know that the slope of x-axis is 0.

[∵[tex]\text{Slope=}\dfrac{\text{Change in y coordinates}}{\text{Change in x coordinates}}=\dfrac{0}{\text{Chnage in x coordinates}}=0[/tex]]

Hence, the slope of the given line =0

Is 14/25 bigger than 0.75

Answers

No. 14 divided by 25 is 0.56
It's not right if you line them up

given that EB bisects <CEA , which statement must be true

Answers

the 1,3,4

i am not 100% sorry if i am wrong

Answer: A:<CED is a right angle

B: <CEA is a right angle

D: m<CEB=m<BEA

E: m<DEB=135

Step-by-step explanation

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