calculate the sum of the interior angles of the following polygon 6 sided 15 sided and 3 sided
Answers
Answer:
720°, 2340°, 180°
Step-by-step explanation:
Look at the attached image of a regular hexagon. I drew all possible lines from a vertex to other vertices (AC, AD, AE). Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.
♦ Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).
See attached image2 to see what happens in an octagon. There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.
What about a 15-sided regular polygon? How many triangles would be formed by putting in all the diagonals coming from one vertex? There will be 2 fewer triangles than the number of vertices, 13.
♦ The total of interior angle measures in a 15-gon is 13(180°) = 2340°
♦ A polygon with 3 sides is a single triangle; interior angle sum = 180°
Related Questions
Who can answer this ( see image).
Answers
9514 1404 393
Answer:
042
Step-by-step explanation:
The first clue tells you the possibilities are ...
6__, _8_, or __2
The second clue eliminates 6__ and tells you the possibilities are ...
18_, _81, 1_2, 48_, _42
The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.
042 is consistent with the last 2 clues.
The 3-digit key is 042.
What is the area of the rectangle
Answers
Answer:
B) [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Area of a rectangle formula:
A = bh
Given:
b = [tex]2\frac{1}{2}[/tex]
h = [tex]1\frac{1}{2}[/tex]
Work:
A = bh
A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]
A = [tex]\frac{15}{4}[/tex]
_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1
Answers
Answer:
immma send you the link friend me on here Step-by-step explanation:
Can someone please help me
Answers
Hope this helps
PLS HELP NO FAST LINKS!!!
Answers
A soccer coach fills cones with sand so that the wind will not blow them around the field during
practice. He uses 10 cones, each with the dimensions shown.
How much sand does he need to fill all of the cones?
1. 48 cubic inches
2. 804 cubic inches
3. 2411 cubic inches
4. 8040 cubic inches
Answers
Answer:
8040
Step-by-step explanation:
bc it is lol
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.
Answers
Answer:
Step-by-step explanation:
P = £1100
r = 5%
t = 6 years
I =P*r*t
[tex]I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330[/tex]
Amount = P + I = 1100 + 330 = £1430
this is solid figure has six equal faces 12 edges and 8 vertices
A.rectangular prism
B.cube
C.cone
D.cylinder
Answers
Answer:
cube because it has six equal facwes
luke has a set of cards numbered 1 to 8, which he arranges in pairs. He notes the sum of the numbers on each pair of cards and calculates the lowest common multiple of the four sums. if luke obtained an LCM of 24, find two different ways in which the cards could have been paired
Answers
Answer:
(5,7 6,2 4,8 1,3) and (7,1 5,3 4,8 6,2)
Answer: 5,7 6,2 4,8 1,3 7,1 5,3 4,8 6,2
Step-by-step explanation:
ace please help
plss
Answers
Answer: C $25
HOPE THIS HELPS
3. in Figure 1, which of the following guarantees that alb?
A 2127
t
B. 325
C. 24 25
1 2
3 4
D. 24 27
5/6
78
Figure 1
Answers
pakii Ayus po
Step-by-step explanation:
favsywuwinswyuqoqpwieygsbsnwjqkqkhzvshqjqkjwhegwy
Given y varies inversely as x, and y = 5 when x = 9. Write the inverse function
Answers
Answer:
y = 45/x
Step-by-step explanation:
Given y varies inversely as x, then;
y = k/x
If y = 5 when x = 9
5 = k/9
k = 5*9
k = 45
Substitute into the formula above;
y = k/x
y = 45/x
Hence the required inverse function is y = 45/x
Identify the slope and y-intercept of the following line: 2y + 4 =-6x
Answers
Answer:
y = -3x - 2, the slope is -3 and the y-intercept is -2
Step-by-step explanation:
2y +4 = -6x and minus the four to get 2y alone
Then divide -4 and -6x by 2 to get y = -3x and -2
What’s is an equation of the Parallel line to y= -x+1 and through (4,4)
Answers
Answer:
y = -x + 8
Step-by-step explanation:
Parallel lines are two lines that have the same plane and slope but never intersect.
mDE = 128 and mBC = 63. Find mZA. (The figure is not drawn to scale.)
Answers
Answer:
The angle formed by the intersection of 2 secants could be found out as: 1/2 (Arc DE - arc BC)
mDE = 128
mBC = 63
=> 1/2 (128 - 63)
=> 32.5 = mZA
Hope this helps!
What are the solutions of the equation 3x^2 +13x=10 ?
Answers
Find the distance between the two endpoints.
(-6, 1) and (-3, 1)
Answers
Answer:
3
Step-by-step explanation:
distance formula
I need Help! Please help I really don’t know how to anwser it no links will report I really need help will make brainliest :(
Answers
Answer:
16/50 or 8/25
Step-by-step explanation:
Good luck. Hope you get a good grade
State six ordered pairs for this function.
F(x) = x2 +14x+45
Answers
(
0
,
45
)
,
(
1
,
60
)
,
(
2
,
77
)
What is x if all three sides combined is 180? Pls help
Answers
Answer:
x= 52°
Step-by-step explanation:
comment if u need explanation :)
Answer:
x=52
Step-by-step explanation:
Set it up 2x+28+x-4=180
Combine like terms
3x+24=180
Subtract 24 from both sides
3x=156
Divide 3 from both sides
x=52
Hope this helps
Brainliest would be appreciated
Please answer the following question:
Answers
To find area take circumference x pie (3.142). And to find circumference it’s radius x 2
So to find area it would be ( 4x2)3.142=25.136
Or 8x3.142=25.136
Someone help me out with this
Answers
Answer:
4x = 20
x = 5
Step-by-step explanation:
Have a nice day!
Simplify:
a+b
a-b
= [?]
a=5 and b=3
Answers
The value of the given expression will be 4.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression is as follows
[tex]=\dfrac{a+b}{a-b}[/tex]
a = 5 and b=3
[tex]=\dfrac{5+3}{5-3}=\dfrac{8}{2}=4[/tex]
Therefore the value of the given expression will be 4.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
- 7th Grade Work -
A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?
Answers
Answer:
19
Step-by-step explanation:
hope this helps with the problem
The three lines represent the amount of water, over time, in three tanks that are the same size. Which tank is filling most quickly? Choose 1 answer
Tank A
Tank B
Tank C
Answers
Answer:
Tank A
Step-by-step explanation:
If the lines goes accross each tank the first tank would fill up first then the next one and it keeps going.
Hope this helps!
Answer:
Tank A
Step-by-step explanation:
The tank that fills fastest will have the steepest line graphed. The steepest line is the graph for Tank A. Tank A fills the most in the least amount of time, so this is the answer.
I hope this helps :) Good luck ^^
Find the dividend if quotient is x–3, remainder is 7x–9 and divisor is x^2-2
Answers
Answer:
[tex]\implies Dividend = x^3-3x^2+4x-3[/tex]
Step-by-step explanation:
Given :-
Quotient is x–3, remainder is 7x–9 and divisor is x^2-2 .And we need to find out the Dividend. We know that ,
[tex]\implies Dividend = Quotient\times Divisor + Remainder [/tex]
Substituting the respective values :-
[tex]\implies Dividend = (x-3)(x^2-2)+7x-9 \\\\\implies Dividend = x^3-2x-3x^2+6+7x-9 \\\\\implies Dividend = x^3-3x^2+4x-3[/tex]
b) Calculate the area of the red triangle to find the area of the garden. Show your work
Answers
Answer:
Solution given:
the area of the red triangle =½(a×b)unit²
So area
1/2BH1/2(side a)(side b)HELP ASASP ITS 6Th GRADE MATH
Answers
Answer:
We are learning this in 7th grade lol how did you get 7th grade math to 6th grade math
what's the coefficient in the equation m-22
Answers
Answer:
that does not make sense ?????????????????????????????????????????
IF YOU ANSWER THESE TWO I'LL GIVE BRAINLIEST (if you only answer one no brainliest)
Answers
Answer:
The first question provided (question 11)
The answer is $118.00
The second question provided (question 12)
The answer is 20 seconds
Step-by-step explanation:
The first question provided (question 11)
The equation 5a + 3c is provided to determine the cost of a catering event, where a is the number of adults and c is the number of children.
It is stated that there are 17 adults and 11 children attending an event.
You can substitute in the 17 adults in place of a and the 11 children in place of c.
This will leave you with 5(17) + 3(11).
If you simplify you will get 85 + 33, which is equal to 118
Therefore, the answer is $118.00.
The second question provided (question 12)
The equation s = 5w is provided to determine how far behind a clock is after a certain amount of time, where s is seconds behind and w is the number of weeks sice the clock was last set.
You are given the clock was set 4 weeks ago.
You can subsitute the 4 weeks into the equation in place of variable w.
This leaves you with s = 5(4).
Simplifying this further, you will get s = 20.
Therefore, the clock is 20 seconds behind.