The smallest exterior angle of a polygon is 40degrees the largest exterior angle is 80 degrees a) what is the smallest possible number of sides b) what is the largest possible number of sides
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.
Someone help I need to do this and Idk how
Answer:
5/6 or 17/18: 5/6
3/10 or 1/4: 3/10
4/21 or 1/6: 1/6
1/4 < 7/24
19/24 < 5/6
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
Q1.
b) 3/10 is greater
c) 17/18 is smaller
d) 4/21 is smaller
1) 1/4 < 7/24
2) 19/24 < 5/6
Hope that will help :).
ANSWER THIS EMMEDIATELY
I WILL MARK BRAINLEIST ANSWER... ;-;
if 8 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answer:
Step-by-step explanation:
8 litres of petrol cover's =60km
For 1km petrol required=8/60 litre
For 50 km petrol required=8x50/60 litre
=6.66 litre is the answer
HELPPPPPP NOWWWWWE PLEASEEEE
Answer:
answer is C
Step-by-step explanation:
because they make linear
In a survey, a group of students were asked their favorite sport. Eighteen students chose “other” sports.
Answer:
22.5% Hope this helps
Step-by-step explanation:
Answer:
22.5%
Step-by-step explanation:
a vehicle rental company charges $25 to rent a moving van plus $50 for each mile traveled . which equation represents the total cost of renting a van if you spend a total of $35 and drive , d mile
Answer:
25+d(0.50)
Step-by-step explanation:
It costs 25 dollars to rent a vehical but its 50 cents per each mile.
Help me ASAP for this question.
Answer:
C 72
Step-by-step explanation:
complementary meaning they add up to 90 degrees, so 90-18=72
Answer:
72 Degrees
Step-by-step explanation:
Complementary are angles that add up to 90 degrees. So 90 - 18.
Given f (x) = 2x² +1evaluate f (-1).
Answer:
3
Step-by-step explanation:
f(x) = 2x^2 + 1
f(-1) means that wherever you see an x on the right hand side, you substitute -1.
f(-1) = 2(-1)^2 + 1 = 2 + 1 = 3
Which of the following equations has a slope of 4 and passes through point (2, 5)?
0000
y = 4x + 2
y = 4x + 5
y = 4x - 3
y = 4x - 8
❗️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.
What is the given point on the line of this equation y +2 = 5/3(x-3)
Answer:
6
Step-by-step explanation:
Solve x then y after..
Write the phrase as an algebraic
expression:
a. Seven times the difference of two and a
number
b. Six less than h
so far, Jim has burned 5.22 calories. He wants to burn a total of 600 calories. how many more calories must jim burn?
Answer:
594.78
Step-by-step explanation:
600-5.22 = 594.78
Answer:The answer should be 626.4
Step-by-step explanation:
Which equation or inequality represents the following description:
A number times six is greater than five times the number plus one.
A. 6x < 5x + 1
B. 6x = 5x + 1
C. 6x > 5x + 1
D. 6x > 5x + 1
Answer:
6x > 5x + 1
Step-by-step explanation:
6 times a number is 6x
is greater than is 6x >
than five time the number is 5x
plus one is 5x +1
all together it is 6x > 5x + 1
Answer: just to give person above brainliest.
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree
someone please help
What is the solution to the system of equations below?
4x + 8y = 24
12y = 4x - 30
Answer:
(33/5 , -3/10)
Step-by-step explanation:
What is the measure of ZSTR?
O 24°
O 38°
48°
O 76°
Answer:
24 degrees
Step-by-step explanation:
24 is 1/2 of 48
A speedly biker can travel 5 km per t hours.which of the following expression best illustrates the situation?
Answer:
Sorry this does not make sense
Have a good thanksgiving
PLEASE ANSWER FAST !!!!!!!!!!!!!!
A line passes through (3, 7) and (6, 9). Which equation best represents the line?
y = 3 over 2x + 5
y = 2 over 3x + 5
y = 3x + 2
y = 2 over 3x + 2
Answer:
B. [tex]y = \frac{2}{3} x + 5[/tex]
Step-by-step explanation:
Let's use the slope equation first. The slope equation is as follows:
[tex]\frac{y2-y1}{x2-x1} = slope[/tex]
This is what is given in the equation:
Point (3,7)Point (6,9)Let's label each component of the equation using these points:
y2 = 9
y1 = 7
x2 = 6
x1 = 3
Now, plug these into the equation
[tex]\frac{9-7}{6-3} = \frac{2}{3}[/tex]
We can now eliminate A and C of the answer choices.
Now let's find the y intercept
Right now we have the following equation
[tex]y = \frac{2}{3} x+ (y intercept)[/tex]
In order to find the y intercept we need to plug in one of the given points into the equation. Let's use point (3,7).
The equation should look like this now:
[tex]7 = \frac{2}{3}(3) + (yintercept)[/tex]
Now lets solve for the y-intercept
[tex]7 = \frac{2}{3}(3) + (yintercept)\\7 = \frac{6}{3} + (yintercept)\\7 = 2 + (yintercept) \\5 = yintercept[/tex]
Now that we found the y-intercept is 5 we have our full equation!
[tex]y = \frac{2}{3} x + 5[/tex]
Hope this helps!!
- Kay
What is the result of adding these two equations?
4x-4y=-2
-9x-4y=-3
The equation below represents how much money Addy makes delivering papers. In the equation p represents the number of papers delivered and d represents the money per paper delivered. D = .45p Create a context, a unit rate, and an equation for someone who delivers papers and makes more than both Addy and Rachel.
Step-by-step explanation:
Step one:
we are given the equation for Addy And Rachel's earning as
[tex]D =0.45p[/tex]-------------1
Step two:
Context creation
Say john earns $0.9 per paper he delivers, estimate how much he would earn to deliver 10 papers
let the amount earn be y and the number of papers delivered be x
the equation is
y=0.9x
for x=10
y=0.9(10)
y=$9
We can see that John's unit rate is more than Addy's unit rate
Use inductive reasoning to predict the next line in this sequence of computations. Then use
a calculator or perform the arithmetic by hand to determine whether your conjecture is
correct.
9.3+5 = 32
99.3 + 5 = 302
999. 3+5 = 3002
9999.3+5 = 30002
Make a conjecture by predicting the correct numbers in the line below.
0-3+5 -0
Is the conjecture correct?
O A. Yes
OB. No
Answer and explanation:
Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.
B. The conjecture 0-3+5 -0 is incorrect
Given the above sequence of computations, we use inductive reasoning to predict the next computation
The correct next conjecture is
99999.3+5= 300002
Please help with the question in the photo above please!!!
Answer: -5
Step-by-step explanation:
Answer:
-5 is the correct answer
Write the equation of a line in point-slope form that is parallel to y=5X-2 and goes through the point (2,3)
Slope: m =
Slope-Intercept Form: y = mx + b
Point Slope Form: y - y = m(x - 1)
Answer:
y - 3 = 5(x - 2)
Step-by-step explanation:
PLEASE SOMEONE HELP ME I WILL NAME YOU THE BRAINLLEST!
A soccer team is having a car wash. The team spent $64 on supplies. They earned $236, including tips. The team's profit is the amount the team made after paying for supplies. Which expression represents this situation?
Group of answer choices
A. 64 - 236
B. 64 + 236
C. -64 + 236
D. -64 - (-236)
Answer: The team would have made 172 dollars after the suplies came out.
It would be c.
Step-by-step explanation: You would subtract 64 from 236, and get 172 dollars.
Find the measure of angle
Angle 1 is congruent to Angle 2
Answer:
angle 1 = angle 2 = 17 degrees
Given
f
(
x
)
=
1
2
(
8
−
x
)
, what is the value of
f
(
−
10
)
?
Answer:
3 Tell me if this help you
How to use distributive property to find 12 + 20 ?
Answer:
The distributive property states that
a*(b + c) = a*b + a*c
You can use the distributive property in reverse to factor out a common factor from the sum of 2 numbers. If you realize that 12 = 4*3 and 20 = 4*5 then you can write
12 + 20 = 4*3 + 4*5 = 4*(3 + 5)
If (x-9) is a factor of 2x^2 - 19x + k, what is the value of k?
Answer:
18
Step-by-step explanation: