One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.
Angle GAF = 105°. Work out the value of n.
Answers
Answer:
n = 8.
Step-by-step explanation:
The interior angle of a regular hexagon = 120 degrees.
So m < GAB = 360 - 120 - 105
= 135 degrees so the regular polygon has a total of 135n degrees.
Using the formula for the sum of interior angles of a polygon,
For the polygon with n sides:
Sum of interior angles = 180(n - 2)
135n = 180(n - 2)
135n = 180n - 360
45n = 360
n = 360/45 = 8.
Related Questions
Find the value of x in the equation below. 5.4=2x
Answers
Answer:
x = 2.7
Step-by-step explanation:
5.4 = 2x
2x = 5.4
Divide both sides by 2.
x = 2.7
Answer: x= 2.7
1. Divide 2 on both sides
2. cancel terms who have the same numerator and denominator
Question 3 options:
The science club fires a rocket up into the air.
The height (h) of the rocket, in feet above the ground,
is modeled by the formula h=400t−16t2, where t is the time in
seconds after the rocket is launched.
How many seconds will it take for the rocket to fall to the ground?
Find the value of t, rounded to the nearest tenth.
[how many seconds it took for the rocket to hit the ground].
t =
Answers
The height of an object can be represented as a function of time.
It takes the rocket 25 seconds to hit the ground
The height function is given as:
[tex]\mathbf{h(t) = 400t - 16t^2}[/tex]
When the rocket hits the ground, we have:
h(t) = 0
So, the height function becomes
[tex]\mathbf{ 400t - 16t^2 = 0}[/tex]
Rewrite as:
[tex]\mathbf{ 16t^2 = 400t}[/tex]
Divide both sides by 16t
[tex]\mathbf{ t = 25}[/tex]
Hence, it takes the rocket 25 seconds to hit the ground
Read more about height functions at:
https://brainly.com/question/22573423
Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. What can be concluded about this prediction? Check all that apply. The prediction is reasonable. The prediction is an interpolation. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted. A prediction cannot be made for a man who is 80 inches tall. A man who is 80 inches tall will likely wear a size 12. 5 shoe.
Answers
Answer:
A and C
Step-by-step explanation:
A. The prediction is reasonable.
C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.
__________________________________________________________
Based on the average height-to-shoe size ratio, it is rational to predict that a man who is 80 inches tall would wear a size 16 shoe, even without there being a scatterplot for a height of 80 inches.
Determine if the table represents a linear function, quadratic function, or exponential function.
Answers
Answer:
please no of one is not function so sorry
Which variable expression represents the following word phrase?
one-half the sum of a number and three
Answers
Answer:
The correct choice should be B.
Tell me if I'm wrong.
some more math stuff I don't know of :(
Answers
They are both 40°. This is bc 180-65-75=40
Please help me this is due in the morning and I’m not very good at fractions (number two btw)
Answers
Answer:
-6, -5
-3, -3
0, -1
3, 1
Step-by-step explanation:
According to the text, approximately what percentage of college students drop out before obtaining a degree
Answers
Answer:
40% but there is no article so I looked it up
Step-by-step explanation:
Is w = 4 a solution to the inequality below? w < 11 5 yes no
Answers
Answer:
yes
Step-by-step explanation:
just sub in the 4 for the w and see if the equation can be solved. if it can, then w=4 is a solution.
since 4 IS less than 11 5, w=4 can be a solution.
Brainliest please!!! Have a good day!!!!
it takes an ant farm 3 days to consume 1/2 of an apple. At that rate in how many days will the ant farm consume 3 apples
Answers
Answer:
18 days
Step-by-step explanation:
1/2 apple = 3 days
3 apples = 18 days
as 1/2 of a apple takes 3 days.
1 whole apple = 6 days
6 x 3 = 18.
PLS HELP PLS AND TY
Answers
so the last answer
What are the values of m and n
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are ~
[tex]m = 60 \degree[/tex][tex]n = 30 \degree[/tex]Refer to attachment for solution ~
how do I become good at fortine
Answers
Answer:
practice.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Answer:
umm work harder I guess -,-
Step-by-step explanation:
The number 59 is increased to 60. What is the percentage by which the number was
increased, to the nearest tenth of a percent?
Answers
Answer:
the answer is 1.7
Step-by-step explanation:
There are 13 books on your shelf, and you will take 5 of them on vacation with you.
How many ways can the books be chosen?
Answers
Answer:
Important, funny and book about the place you are going?
A class is collecting aluminum cans. Every Monday each student brings in a bag with 10 cans. They put 10 bags into a box. How many boxes do they need to hold 1000 cans
Answers
Answer:
the answer is 100.
Step-by-step explanation:
divide 1000 by 10
The number of boxes required to hold 1000 cans is 100 bags.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, every Monday each student brings in a bag with 10 cans.
They put 10 bags into a box.
So, number of boxes required to hold 1000 cans
= 1000/10
= 100 bags
Therefore, the number of boxes required to hold 1000 cans is 100 bags.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
This is probably easy oh well
Answers
you are making cookies. The recipe calls for 5 cups of flour for every 2 cups of sugar.If you have 8 cups of flour, how many cups of sugar would you need?
Answers
Answer:
You should use 3 1/5 cups of sugar.
Step-by-step explanation:
Miss Jenkins owns an electronics shop. She order 27 laptops at £413 each. Miss Jenkins sells the 27 laptops for £600 each Work out the profit.
Answers
Answer:
You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.
Step-by-step explanation:
Answer:
she got 5049$ back in profit
Step-by-step explanation:
First count how much numbers are away from 413 to 600 you get 187
Next you Multiply 187 x 27 = 5049$
PLS HELP!! I WILL GIVE BRAINLIEST
refer to attachments for the question
Answers
In ∆PQR and ∆MNR
PQ=MNQR=RN<Q=<M=90°Hence by
Side angle side congruency
[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]
Step-by-step explanation:
PQ ≅ MN ⇒ Given
QR ≅ NR ⇒ Given
R is midpoint of PM ⇒ Given
PR ≅ MR ⇒ Definition of midpoint
ΔPQR ≅ ΔMNR ⇒ SSS postulate
Simplify the expression.
16-4[3+2÷(9-7)]
A) 0
B) 6
C) 30
D) 64
Answers
please branliest if correct
It is 0 (A)
16-4(3+2:2)
16-4(3+1)
16-4 x 4
16-16=0
can someone help me please
Answers
Answer:
Step-by-step explanation:
One
The exterior angles of a triangle add up to 360. You know two of them. Therefore you can find w.
125 + 90 + w = 360 Combine like terms on the left
215 + w = 360 Subtract 215 from both sides
w = 360 - 215 Combine
w = 145
Two.
The polygon has 4 exterior angles. They too should add up to 360.
88 + x + 108 + 115 = 360 Combine the left had side
x + 311 = 360 Subtract 311 from both sides
x = 360 - 311 Combine
x = 49
What have you learned? You should notice that all polygons have exterior angles that add up to 360
HELP ASAP 10 POINTS WILL MARK BRAINIEST IF CORRECT
Answers
Answer:
Bryan
Step-by-step explanation:
Rate of Change
Answer:
Malory Makes more money than bryan
Step-by-step explanation:
5/6 divided by [13/11]
Answers
Answer:
0.70512820512 round to the nearest hunderth
Step-by-step explanation:
Does the point (4, 10) satisfy the inequality y greater than or equal to 2x + 2?
Answers
Answer:
Yes, the point (4,10) satisfies the inequality.
Step-by-step explanation:
In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:
y ≥ 2x + 2
10 ≥ 2(4) + 2
Then solve:
10 ≥ 8 + 2
10 ≥ 10
Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).
-5 x -0.2 i got stuck here
Answers
The cost to rent a moving van is $19.95 per day plus $0.52 per mile. The cost of renting a
car trailer to pull behind the van is $24.95 per day plus $0.24 per mile. Roberto is moving
from Los Angeles to Denver, Colorado. Which equation can he use to find his daily
rental costs c? (Use m for miles.)
Answers
Answer: 19.95 + 24.95 + (m times 0.52) + (m times 0.24)
Step-by-step explanation:
19.95 + 24.95 + (m times 0.52) + (m times 0.24)
The first 2 numbers are the one time costs then the numbers in brackets are for the cost per miles.
-4(x+9)+44=16-5x
solve the equation
Answers
You and your friend are selling magazine subscriptions for a fundraiser after W weeks if you have sold (4w+1) subscriptions and your friend has sold (8w+6) subscriptions
Answers
Answer:
(4w+1)-(8w+6)
Step-by-step explanation:
Hope this helps :)
Kristen and Marina are making prisms out of cardboard using the designs shown below.
Whose design uses more cardboard, and by how many square inches? Show how you determined your answer.
Answers
Answer:
kristen
Step-by-step explanation: