Answer:
All exterior angles will add up to 360 degrees, regardless of the number of sides.
For the sum of the interior angles, use this formula:
The sum of the interior angles = (N x 180) - 360
Where N = the number of sides
So, (40 x 180) - 360 = 6840 degrees
The measure of each interior and exterior angle of a regular 40-gon are [tex]171^\circ[/tex] and [tex]9^\circ[/tex] respectively.
Important information:
The given shape is a regular 40-gon.Interior and exterior angles:Interior angle of a regular polygon is [tex]\dfrac{(n-2)\times 180^\circ}{n}[/tex], where n is the number of sides.
A regular 40-gon has 40 sides. So, the measure of each interior angle is:
[tex]\dfrac{(40-2)\times 180^\circ}{40}=38\times 4.5^\circ[/tex]
[tex]\dfrac{(40-2)\times 180^\circ}{40}=171^\circ[/tex]
Exterior angle of a regular polygon is [tex]\dfrac{360^\circ}{n}[/tex], where n is the number of sides.
A regular 40-gon has 40 sides. So, the measure of each exterior angle is:
[tex]\dfrac{360^\circ}{40}=9^\circ[/tex]
Therefore, the measure of each interior and exterior angle of a regular 40-gon are [tex]171^\circ[/tex] and [tex]9^\circ[/tex] respectively.
Find out more about 'Interior and exterior angles' here:
https://brainly.com/question/15716862
simplify
(3 − 6n5 − 8n4) − (−6n4 − 3n − 8n5)
Answer:
Simplify the expression.
2n⁵−2n⁴+3n+3
Determine whether the graph of f(x) is a sinusoid.
f(x) = sin 4piX - cos 10piX
b.
no
a.
yes
Answer:
The answer is B(no) on edge
Step-by-step explanation:
Options are increase/decrease
44 students completed some homework and the histogram shows the times taken.
work out an estimate of the interquartile range.
in your work you must show the lower and upper quartiles
Answer:
1.4×5=7
0.8×10=8
1.4×10=14
1×15=15
15+14+8+7=44
44÷4=11
LQ of 44=11
LQ=10 minutes
11×3=33
UQ= 29 minutes
the Range is 19 minutes
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints (10,-10), (-4,7)

2x + 2x - 4y - y = 4x + ( ? )
Answer:
-5y
Step-by-step explanation:
combine them -4y +(-1y)
I need help I don't understand
Answer:
x = 142
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = 90+52
x = 142
If x · y = z, which of the following statements is true?
zy=x
z - y = x
z - x = y
xz=y
Answer:
b
Step-by-step explanation:
The diagram shows rectangle ABDE and right angle triangle ABC AC=37cm BC=12cm BC:CD=1:2 work out the area of rectangle ABDE
can you let me know when you get this answer, i’m doing june 19 2H
Answer:
1260cm^2
Step-by-step explanation:
BC : CD
12 : 24
12 + 24 = 36
h²- a² = b²
37²-12²
1369 - 144 = 1225
√1225 = 35
36 x 35 = 1260cm²
State the restrictions: 12x2+31x + 9 3x2-5x-2
Answer:
=39x2+26x−2 Your Welcome !!!
I am confused pls help don't know what to do don't just answer it pls you can just write how you solve it
Answer:
-0.25(-8x + 12y)
2x + -3y
WILL GIVE BRAINLIEST!! DUE IN A FEW MIN. PLEASE ANSWER CORRECTLY
Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation
y = 3.5x + 4; A(...; 5), B(10; ...)
Answer:
y=3.5x+4; A(_,5) B(10,_)
Step-by-step explanation:
.Find point A: Substitute y value given, solve for x:
.
5=3.5x+4
1=3.5x
1/3.5=x
0.2857=x
.
Point A=(0.2857,5)
.
Find point B: Substitute x value given, solve for y:
.
y=3.5(10)+4
y=35+4
y=39
.
Point B=(10,39)
.
Slope:
In slope intercept form y=mx+b, m=slope
.
Slope=m=3.5
.
The others are done the same way.
A line passes through (-3, 6) and has a slope of -5.
What is an equation of the line?
Answer:
y=-5x-9
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-5(x-(-3))
y-6=-5(x+3)
y=-5x-15+6
y=-5x-9
which ratio is greater 16:13 or 9:7?
PLEASE HURRY & HELP ME NOW. IN A RUSH
Answer:
D
Step-by-step explanation:
help!!!!!!!!!.!.!.!.!.
Answer:
24
Step-by-step explanation:
A book costs b dollars and a magazine costs m dollars.
Write an expression for the total cost, in dollars, of 5 books and 3 magazines.
Answer:
C = 5b + 3m
Step-by-step explanation:
Answer:
5b + 3m
Step-by-step explanation:
If b represents the cost of a book, then 5b will represent the cost of 5 books
If m represents the cost of a magazine, then 3m will represent the cost of 3 magazines.
To create an expression for the total cost, add these terms together:
5b + 3m
So, the expression for the total cost is 5b + 3m
Which histograms are approximately symmetric and bell shaped?
Answer:
B and E
Step-by-step explanation:
im pretty sure what you have is correct
The correct histograms that are approximately symmetric and bell-shaped are - histograms B, C, and E because they are symmetric and bell-shaped.
A histogram is a convenient form or graphical representation of the frequency distribution of numerical data by means of rectangles. These histograms are found in different shapes and symmetries.
Bell-shaped curve:
if a histogram resembles or looks like a “bell” by joining the interval of rectangles in a curve and has one single peak in the middle of the distribution.In the given histograms only histogram shows a bell-like curve when joining the middle point of rectangles of distribution and also present in symmetry.in the image attach approximate curves are form you can see if it is bell shape and symmetric.Thus, the correct answer is - Histograms B, C, and E.
Learn more about bell-shaped histogram:
https://brainly.com/question/14601046
−3/5×8/6= please what is this?
Please help, I’m bad at math.
Answer:
26
Step-by-step explanation:
Tan is opposite/adjacent
The side opposite to the angle 56 is 26.
If it asks for the bottom one, it is x.
Ms. Metcalf wants to share $1 equally among 5 students. How much money will each student get?
Answer:
Step-by-step explanation:
20
200/160 as a percentage (200 over 160)
Answer:
80%
Step-by-step explanation:
Please brainlist me
Answer:
80%
Step-by-step explanation:
160 ÷ 200 = 0.8
0.8 x 100 = 80
add percentage sign 80%
Hope that helps
Can anyone explain polynomials in a way that makes sense lol?
Answer:
Answer:
well here's the def. maybe this can help you sum up answer
*polynomial
[ pol-uh-noh-mee-uhl ]SHOW IPA
adjective
consisting of or characterized by two or more names or terms.
noun
Algebra.
(in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power: ax2 + bx + c is a polynomial, where a, b, and c are constants and x is a variable.
a similar expression in more than one variable, as 4x2y3 − 3xy + 5x + 7.
Now Rare.Also called multinomial. any expression consisting of the sum of two or more terms, as 4x3 + cos x.
a polynomial name or term.
Biology. a species name containing more than two terms.
:
Write an equation with a slope of −4.4and a y-intercept of 6.8
A. =−4.4−6.8
B. =4.4+6.8
C. =6.8−4.4
D. =−4.4+6.8
Answer:
The answer is
[tex]y = - 4.4x + 6.8[/tex]
Find the volume of a triangular prism that has a triangular base of 4 and height of 3 with a prism height of 11.
note: it is NOT 12 i tried and it was wrong
Answer:
66
Step-by-step explanation:
This was the formula that I used V=14h √(a+b+c)(b+c−a)(c+a−b)(a+b−c)
Hope this helps! :)
in triangle ABC with vertices A(4,5),B(-2,1) and C(0,3),E and F are midpoints of sides AB and AC resp . then, find coordinates of E and F
Answer:
The answer is
E=(1, 3)
F=(2,4)
Step-by-step explanation:
When E is midpoint of AB
Then
[tex]e = ( \frac{4 + ( - 2)}{2} . \frac{5 + 1}{2} ) \\ = (1.3)[/tex]
By this way we can find F
[tex]f = ( \frac{4 + 0}{2} . \frac{5 + 3}{2} ) \\ = (2.4)[/tex]
I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028
If
(
m
2
−
1
)
2
−
9
is expressed as
(
m
2
+
2
)
(
n
+
p
)
(
n
−
p
)
, what are the values of
n
and
p
?
Answer:
you need to repost your question bcos it's not understandable
3, 12, 48, 192
can someone tell me the 11th term
what did you put for #3?
Answer:
huh
Step-by-step explanation:
Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.
Round your answer to the nearest tenth if necessary.
K
19
J
с
58
N
42
M M
H Н
L
Answer:
128.2
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:
[tex]\frac{OL}{HK}=\frac{ON}{KJ}\\\\substituting:\\\\\frac{OL}{42}=\frac{58}{19} \\\\OL=\frac{58*42}{19} \\\\OL=128.2[/tex]