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If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?
Answer:
Please read the explanied answer below.
Step-by-step explanation:
As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]We also know that a regular polygon has all the angles equal and all sides have the same length.
As we know:
Exterior angle = 360° ÷ No. of sidesWhen the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.
For example:
In terms of a triangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 3 = 120°
In terms of a rectangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 4 = 90°
and in the same way
360° ÷ 5 = 72 °
360° ÷ 6 = 60 °
360° ÷ 8 = 45 °
360° ÷ 9 = 40°
and so on.
I hope it may have solved your query.
Julie purchased tickets to a Mets baseball game from the Mets website. Each ticket costs $19
and the website charged a convenience fee of $5.75 per ticket. To celebrate going to the
game, Julie also bought a new jersey from the website for $60.
Answer:
$84.75
Step-by-step explanation:
HELP WILL MAKE BRAINLIST
DIRECTIONS: Type your answer in the box below.
Percy planted 4 tomato plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted? Round your answer to the nearest whole percent.
Answer:
175%
Step-by-step explanation:
The formula for Percent increase =
Final value - Initial value/Initial value × 100
Final value = 11 tomato plant
Initial value = 4 tomato plant
Percent Increase = 11 - 4/4 = 100
= 7/4 × 100
= 175%
Answer:
ur super not talanted
Step-by-step explanation:
can somebody pls help me with this?
Answer:
X:Y
12:4
Just start with y=1 and work upwards giving x a value of y+8 until x is three times larger than y.
Which graph shows a polynomial function with an even degree?
Answer:
c
Step-by-step explanation:
im smart
The graph that shows a polynomial function with an even degree is option D.
What is a Function?A function is a law that relates two variables, a dependent and an independent variable with each other.
The domain and range of a function is always defined, the domain is all the values that can be an input to the function and the range is all the valuess that a function can have.
A function that involves positive integer powers as exponents of a variable in an equation is called a polynomial function, like the quadratic equation,
An even degree polynomial function, represented by y = x², have graphs that either open upwards or downwards.
A function is even if, for each x in the domain of f, f (- x) = f (x).
In an even function, the graph is symetrically along y axis.
The only graph that is symmetrical along the y axis is graph D.
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find the sum seven and twenty-five hundredths added to nine and four tenths
Answer:
16.65
Step-by-step explanation:
7.25 + 9.4 = 16.65
Find the equation of the line that passes through the points (-1,3) and (3,11).
A. y = -5x - 2
B. y = -2x - 5
C. y = 2x + 5
D. y = 5x + 2
help please :((((((((
1. The sum of a number and 5 is 20
2. Ten more than a number
3. A number increased by eleven is twenty one
4. Three times a number increased by 4
5. The sum of a five times a number and six
6. Seven more than three times a number
7. The difference between ten times a number and 3
8. Subtract eight from six times and number
9. Eight less than a number is five
10. Five times a number decreased by six
11. A number decreased by seven
12. The product of a number and seven
13. The sum of twice a number and four
14. The quotient of a number and three
15. A number divided by eleven The sum of twice a number and four
PLEASEEE GIVE ME THE ANSWERS
Answer:
Step-by-step explanation:
Let x be the unknown numbers so [tex]x+5=20[/tex] [tex]10x[/tex] [tex]x+11=21[/tex] [tex]3x+4[/tex] [tex]5x+6[/tex] [tex]3x+7[/tex][tex]10x-3[/tex] [tex]6x-8[/tex] [tex]x-8=5[/tex] [tex]10x-6[/tex] [tex]x-7[/tex] [tex]7x[/tex] [tex]2x+4[/tex] [tex]\frac{x}{4}[/tex] [tex]\frac{x}{11},2x+4[/tex]Answer:
1. x+5=20
Step-by-step explanation:
What is the vertex of the function x^2+x-5
Answer:
y=(x+1/2)^2-21/4
Step-by-step explanation:
A room has an area of 432 ft2. One dimension is 6 ft more than the other. Find the dimensions of the room.
Answer:
W=18ft
L=24ft
Step-by-step explanation:
Step one:
given data
area= 425ft^2
let the width W be =x
and the length L be =x+6
Required
Length and width
solution
Area= lenth*width
432=x*(x+6)
432=x^2+6x
x^2+6x-432=0
The roots of the quadratic equation is
x=-24-----can not be negative
x=18----correct
The dimension is
the width W =x=18ft
The length= x+6=18+6=24ft
check area= 18*24=432ft^2
How are theses two sequences similar?
Answer:
I LOVE POINTS!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Answer:
Could you please insert the sentences so I can help?
The school band is selling sweatshirts and baseball caps to raise $9000 to attend a band competition Sweatshirts cost $25 each and baseball caps cost $10 each. The equation 25x + 10y = 9000 models this situation, where x is the number of sweatshirts sold and y is the number of baseball caps sold. The number of shirts sold is 258 X - intercept = y - intercept = How many caps were sold?
x int:
y int:
how many caps were sold? :
Answer:
255 caps were sold
Step-by-step explanation:
25x+10y = 9000
25(258) + 10y = 9000
6450 + 10y = 9000
-6450 + 10y = -6450
10y = 2550
2550/10y
y = 255
Please Please PLEASE help me
How do I solve this using the quadratic formula? −6x^2−2−3x=−8
Could you also show your work?
Thanks
Answer:
[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]
Step-by-step explanation:
First, we need to get the equation into the polynomial form. Add 8 to both sides:
[tex]-6x^{2} -2-3x=-8[/tex]
[tex]-6x^{2} +6-3x=0[/tex]
Rearrange the equation so that it is in standard form:
[tex]-6x^{2} -3x+6=0[/tex]
Remember the quadratic formula:
[tex]\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are the coefficients of the problem when it is in standard form. In this case, [tex]a=-6[/tex], [tex]b=-3[/tex], and [tex]c=6[/tex]. Now, all we need to do is plug those into the quadratic formula.
[tex]\frac{-(-3)+/-\sqrt{(-3)^{2}-4(-6)(6)} }{2(-6)}[/tex]
Simplify:
[tex]\frac{3+/-\sqrt{153}}{-12}[/tex]
[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]
Hope this helps!
Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.
Answer:
Step-by-step explanation:
6xy+31
Find the sum of the following nine products: 1 × (10 – 1), 2 × (10 – 2), 3 × (10 – 3), … , 9 × (10 – 9)
Answer:
9, 16, 21, 9
Step-by-step explanation:
I hope this help and it was going in order
Answer:
165
Step-by-step explanation:
We solve the first 5
1*(10-1)=9
2*(10-2)=16
3*(10-3)=21
4*(10-4)=24
5*(10-5)= 25
and notice
when you go from 6 on its getting the same number because say 3*(10-3) = 3*7 and 7*(10-7) = 7*3 and 7*3 = 3*7 so
You add the first 5 integer you solved up
9 16 21 24 25 = 95
and then you double it no extra 25
and then you get 165 = answer
You bought a bag of cat food for $4.75 and a bag of dog food for $12.59. How much more did you spend on the dog food?
Answer:
$7.84 more
Step-by-step explanation:
To find how much more you spent on dog food, find the difference between the two prices:
12.59 - 4.75
= 7.84
So, you spent $7.84 more on the dog food
A farmer Harvester 21 1/4 so if you were a bushel of sweet corn this year than previous year it's a farmer sweet corn crops planted across 3 acres was the average loss Per acre
Answer:
7 1/12 bushels of sweet corn per acre of land
Step-by-step explanation:
Total bushels of sweet corn harvested this year fewer than the previous year = 21 1/4
Total acres of land used to plant = 3 acres
what is the average loss per acre?
Average loss = Total bushels of sweet corn harvested for the year / 3 acres
= 21 1/4 ÷ 3
= 85/4 ÷ 3
= 85/4 × 1/3
= 85 / 12
= 7 1/12
Average loss = 7 1/2 bushels of sweet corn per acre of land
the sum of a number and 9, divided by 4, is greater than or equal to -2
Answer:y – 9. 4 less than a number. y - 4
Step-by-step explanation:
If the sum of a number and 9, divided by 4, is greater than or equal to -2, the number is -17.
What is inequality?A collection of two or more inequalities in one or more variables is known as a system of inequalities. When there are multiple constraints on a problem's potential solutions and a range of potential solutions are needed, systems of inequalities are used. The maximum or minimum values of a situation with multiple constraints are frequently determined using a system of linear inequalities.
It is given that,the sum of a number and 9, divided by 4, is greater than or equal to -2
Suppose the number is n,
(n+9)/4≥-2
n+9≥-8
n≥-8-9
n≥-17
Thus, if the sum of a number and 9, divided by 4, is greater than or equal to -2, the number is -17.
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one-step Equation
solve for V
26=8+v
Answer:
v = 18
Step-by-step explanation:
26 = 8 + v
v = 26 - 8
v = 18
If the Jackson family drive 135 miles on 6 gallons of gas, how many miles can they can they drive on 9 gallons?
Answer:
202.5 miles
Step-by-step explanation:
We find the unit rate of the mile per gallon
135/6
= 22.5
We multiply 22.5 by 9 to get the miles they can drive on 9 gallons
22.5 * 9
= 202.5
Answer:
202.5 miles
Step-by-step explanation:
135 miles divided by 6 = 22.5 x 9 = 202.5 miles
6 gallons divided by 6 = 1 gallon x 9 = 9 gallons
Fill in the missing numbers to create an equivalent expression (21 + 12)=_( _ + _ )
what's the blank supposed to be?
Answer:
(21+12)=3(7+4)
This is true because they both equal 33.
A
6) Find Total Surface Area of the shape.
9 km
3 km
7
5 km
4 km
Answer:
120km^2
Step-by-step explanation:
9x3=27
9X5=45
9x4=36
3x4/2=6
3x4/2=6
27+45+36+6+6=120
If ∆ABC congruent ∆DEF, which of the following can you NOT conclude as being true?
A. AC congruent DF
B. ‹B congruent ‹E
C. AB congruent EF
D. ‹C congruent ‹F
Answer:
I believe the answer would be C (sorry i messed uo the first time)
Answer:
C
Step-by-step explanation:
Professor Malone is grading papers in the teachers' lounge. She has already finished grading 20 assignments, and is grading 5 more assignments per hour. Her teaching assistant just came in to help her. He can grade at a rate of 7 assignments every hour. At some point, they will be finished and will have graded the same number of papers. How many assignments will they each have graded?
Write a system of equations, graph them, and type the solution.
Answer:
55
Step-by-step explanation:
bedcause if you add 50 and 5 then it makes yes
The number of papers checked by both becomes equal in 10 hours.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Teacher Malone is reviewing papers in the educators' parlor. She has previously gotten done with reviewing 20 tasks and is evaluating 5 additional tasks each hour. Her showing colleague just came in to help her. He can grade at a pace of 7 tasks consistently.
Let 'x' be the number of hours and 'y' be the number of assignments. Then the equations are given as,
y = 5x + 20 ...1
y = 7x ...2
At some point, they will be finished and will have graded the same number of papers. Then from equations 1 and 2, we have
7x = 5x + 20
7x - 5x = 20
2x = 20
x = 20 / 2
x = 10
The number of papers checked by both becomes equal in 10 hours.
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629 divided by the number c equals 17 what is c answer fast WILL MARK BRAINLY!!
Answer:
c=37
Step-by-step explanation:
The answer c is 37.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number
Here is is given that,
629 divided by the number c equals 17.
Here 629 is the dividend, c is the divisor and 17 is the quotient.
We have to find the value of the divisor.
Mathematically the given statement can be written as,
629 / c = 17
Multiplying both sides of the equation with c, we get,
629 = 17 c
Dividing both sides by 17,
c = 629 / 17
c = 37
Hence the value of c is 37.
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Basil, Oscar and Sue share 43 sweets.
Sue gets the largest share.
What is the smallest possible number of sweets Sue could get?
Answer:
Sue gets the largest share of 15, which is the smallest possible number of sweets Sue could get.
Step-by-step explanation:
Basil, Oscar, and Sue share 43 sweets.
Sue gets the largest share.
Let us divide the 42 sweets by 3
42/3 = 14
It means 3 equal parts of 14 make the sum 4.
i.e. 14+14+14 = 42
Since Basil, Oscar and Sue share 43 sweets, which is 1 plus 42.
So, add that 1 to Sue. i.e. 1+14 = 15
so 15+14+14 = 43Thus, Sue gets the largest share of 15, which is the smallest possible number of sweets Sue could get.
The toll on a highway is based on the number of miles driven. If the toll on a 15-mile stretch of highway is $0.60, find the cost to drive a 80-mile stretch.
Answer:
$3.20
Step-by-step explanation:
We have
15-mile stretch = $0.60
80-mile stretch = x
Cross Multiply
15 × x = 80 × $0.60
x = 80 × $0.60/15
x = $3.20
Hence, the cost to drive a 80-mile stretch is $3.20
Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces?
9514 1404 393
Answer:
200 ounces
Step-by-step explanation:
Each pound is 16 ounces, so the number of ounces is ...
(12.5 lb)(16 oz/lb) = 200 oz
The package weighs 200 ounces.