Answer:
a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides
b) The largest possible number of sides of the polygon is a regular polygon with 9 sides
Step-by-step explanation:
a) The smallest exterior angle of the polygon = 40°
The largest exterior angle of the polygon = 80°
Therefore, we have the interior angles are;
The smallest interior angle of the polygon = 180° - 40° = 140°
The largest interior angle of the polygon = 180° - 80° = 100°
Therefore, we have
The interior angles of a regular polygon are given by the following formula;
[tex]Interior \ angle =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
For an interior angle of 100°, we have;
[tex]100^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
100/180 × n = n - 2
2 = n - 100/180 × n = 4/9·n
2 = 4/9·n
n = 18/4 = 4.5
Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides
b) For 140°, we have;
[tex]140^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
140/180 × n = n - 2
2 = n - 140/180 × n = 2/9·n
2 = 2/9·n
n = 18/2 = 9
n = 9 sides
Therefore, the largest possible number of sides = 9 Sides.
Graph the line y=-2/3x+3
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
2
3
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
9
2
0
Step-by-step explanation:
Answer: x = (0,0) y = (3,0)
Step-by-step explanation: you have to find the Asymptotes In The Equation
Giving brainliest!!! HELP PLEASE! I can send money also if you can do it for me.
Answer:
(-4,1)
Step-by-step explanation:
The solution of these two linear equations in where the two lines meet. This means that when plugged into equation the x ( in this case -4) would allow you to get y = 2 (which is the y). Hope this helped you as I know the answer and if you want refinement.
Factor f(x)=x3+x2-17x+15 if f(3) =0
Answer:
Step-by-step explanation:
x^3+x^2-17x+15 replace x with 3
3^3+3^2-17(3)+15 =0
27+9-51+15 combine
=0
5. A line has a slope of (-3/2) and a
y-intercept of (-4). Write the equation of
the line.
Explanation:
Answer:
y = - [tex]\frac{3}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{3}{2}[/tex] and c = - 4 , thus
y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line
Simplify the following expression.
5+((2*5) -7)^2 -9
Your answer:
1
5
-4
16
(HELP PLEASE!!!)
Answer:
the answer is 5
Step-by-step explanation:
Y-Value
What is the range of the relation?
{(4, 5), (2,9), (1,8), (6,5), (2, 9)}
A.{5, 8, 9}
B.{5, 8}
C.{1, 2, 4, 6)
D.{1, 2, 4, 5, 6, 8, 9)
A student has some $1 bills and $5 bills in his wallet. He has a total of 13 bills that are worth $45. How many of each type of bill does he have?
Answer:
8 $5 bills and 5 $1 bills
Step-by-step explanation:
5x8=40, which would be $40
1x5=5, which would be $5
$40+$5=$45
hope this helps! :)
Answer:
it's not possible. I've tried every way, r these the right amounts?
Tavares is saving for a $350 cell phone.He already has $60 and plans to save an additional $20 per week?How many weeks will Tavares have to save before he can buy the cell phone ?
Answer:
15 weeks
Step-by-step explanation:
15 times 20 = 300
300+60=360
15 Weeks
Step-by-step explanation:
You earn 20 every week, multiply that by 15 and you get 300. You already have 60 So add 300+60 and you get 360, so 15 weeks
Find all solutions by factoring.
c? + 13c + 40 = 0
Answer: c = -5, -8
Step-by-step explanation:
c^2 +13c+40=0
(c+5)(c+8)=40
c = -5, -8
Can someone help me please
Answer:
28deg
Step-by-step explanation:
sin x deg = 15/32
x = sin^-1 (15/32) = 27.953 (3dp) = 28 (nearest deg)
This is a topic on trigonometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!
find the ratio of 500 paise to rs.20
We know that 100paise=1 rupee
=>500 paise = 5 rs
ratio =5/20=1/4=1:4
hope it helps :)
plz mark as brainliest
PLEASE HELP!!! Find the slope of each side of the triangle.
9514 1404 393
Answer:
AB: -3BC: 2/3AC: -1/4Step-by-step explanation:
The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.
Here are the segment slopes (rise/run).
AB = -3/1 = -3
BC = 2/3
AC = -1/4
What is 1/3 divided by 2
Answer:
0.16666666666 so just put 0.16
Step-by-step explanation:
Find the common difference of the arithmetic sequence –8, -2, 4, ...
Answer:
d = 6Step-by-step explanation:
[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]
Which inequality is shown in the graph?
Answer: 3ft²?
Step-by-step explanation:
❗️URGENT NEED ASAP❗️
Given functions,
f(x) = -5x – 14 g(x) = -02 + 9x - 1
find f(9) + g(-2)
Answer:
Step-by-step explanation:
❗️URGENT NEED ASAP❗️
Given functions,
f(x) = -5x – 14 g(x) = -02 + 9x - 1
find f(9) + g(-2)
Answer:
Functions! Nice.
Step-by-step explanation:
This is a pretty simple concept.
What it wants you to do is to input those values inside the parentheses(9 or -2) into those equations for x. Then, you will have to add those values that you get.
If you didn't understand, watch and learn!
[tex]for x=9\\f(9)=-5(9)-14\\f(9)=-59\\[/tex]
Now try to do that for the second equation, but this time, have x as -2.
(I also can't solve the last one because I can't make sense of the equation. What is 02?)
Stay Safe!
P.S. When you find the answer to that second one, just add it to the first answer, and you'll get the final answer.
I got bullied guys *drop mic 100000000000x times till faints*
Step-by-step explanation:
1-800-273-8255 my dude
Answer:
I think you should tell someone you trust that you got bullied. I'm so sorry, I know people that got bullied. We'll fight this together.
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $25 monthly fee and charges an additional $0.10 for each minute of calls. The second plan has a $12 monthly fee and charges an additional $0.14 for each minute of calls For how many minutes of calls will the costs of the two plans equal
Answer:
The amount of minutes of calls in which the costs of the two plans equal is 325.
Step-by-step explanation:
To be able to find the amount of minutes of calls in which the cost of the two plans equal, you have to write an expression in which the price of the first and the second plan are the same an solve for the number of minutes:
25+0.10x=12+0.14x, where x is the number of minutes of calls.
Now, you can solve for x:
25-12=0.14x-0.10x
13=0.04x
x=13/0.04
x=325
According to this, the answer is that the amount of minutes of calls in which the costs of the two plans equal is 325.
Someone help I’ll give brainlist lol
What type of angles are these? Corresponding, vertical, alternate interior, alternate exterior, or adjacent angles.
Answer:
im 90% sure its alternate exterior
Step-by-step explanation:
Write an equation of the line that passes through a pair of points:
(-3,1). (-2,-5)
Answer:
[tex]y=-6x-17[/tex] (B)
Step-by-step explanation:
[tex]y=mx+b\\m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{1--5}{-3--2} = \frac{6}{-1} = -6\\y=-6x+b\\[/tex]
Plug in one of the two points for X and Y
(-3,1)
[tex]1=-6(-3)+b\\1=18+b\\b=-17\\\\y=-6x-17[/tex]
What is being done to the variable in the equation 3 + g = -9? The number 3 is being subtracted from it. The number 3 is being added to it. The number -9 is being subtracted from it. The number -9 is being added to it.
Answer:
the number 3 is being subtracted from it because you want to get by itself
2x≤3x+2≤x+6 please could you answer this question
pls help me is this right red devil is killing me
2089+2089? HHHHHEEELLLLPPP PLZ first to answer get brainlyset
Answer:
4178
Step-by-step explanation:
Answer:
4178
Step-by-step explanation:
THANK YOU SO MUCH I NEEDED POINTS Brainliest please!!!!
If a turkey weighs 16 pounds, how many calories does it have? (remember there are
170 calories in 4 ounces of turkey)
Selena wants to sell hot dogs at a local sports arena. She must pay a fee of $25 $25 to sell hot dogs and estimates each hot dog will cost her $0.75 $0.75 . Selena plans on selling each hot dog for $2.00 $2.00 . What is the minimum number of hot dogs ( x x ) Selena needs to sell for the revenue to be greater than or equal to her cost?
Answer:
20
Step-by-step explanation:
Let the cost of 1 hot dog be $x.
2x ≥ 25 + 0.75x
2x - 0.75x ≥ 25
1.25x ≥ 25
x ≥ 20
Solve please
18 + 8x<34
Answer:
x=2
Step-by-step explanation:
Write a function rule that represents the sentence.
y is 4 less than the product of 7 and x.
What are irrational numbers?
Are they related to Rational numbers?
Answer:
What Are Irrational Numbers?
Real, Rational, and Irrational Numbers. By definition, a real number is irrational if it is not rational. ...
Spotting Rational and Irrationals. One nice thing about real numbers is that they all have decimal expansions.