Find the measure of each interior angle and each exterior angle of a regular nonagon (a nine-sided polygon).
Measure of each interior angle =
x
5
?
Measure of each exterior angle =
Answers
Answer:
Interior-140° Exterior-40°
Step-by-step explanation:
The sum of the interior angles of a polygon are given by 180(n-2) where n is the number of sides.
Therefore, the sum of all interior angles in a nonagon is 180(9-2) or 180×7. This equals to 1260°.
To get the individual interior angle, you use [tex]\frac{s}{n}[/tex], with n defined above and s being the sum of interior angles.
Therefore, each angle is [tex]\frac{1260}{9}[/tex]°, which can be solved to 140°.
The value of an individual exterior angle is given by 180-i, with i being the individual interior angle (this is because the 2 angles form a straight line).
In this case, 180-140=40°.
Each interior angle of a nonagon is 140°, and each exterior angle is 40°.
**This content involves angles of polygons, which you may want to revise. I'm always happy to help!
Related Questions
What is the total area of the garden?
Answers
The midpoint of segment AB is (6,5). The coordinates of point A are (7,10). Find the coordinates of point B.
Answer options: (5,10) (8,15) (-3,7)
Answers
Step-by-step explanation:
none of the options is correct
the answer is (5,0)
Answer:
option 2 : ( 8 , 15 )
Step-by-step explanation:
A ( 6 , 5 )
Mid point ( 7, 10)
B ( x , y )
x coordinate of B
[tex]Mid point = \frac{6 + x }{2}\\\\7 = \frac{6 +x }{2}\\\\7 \times 2 = 6+x\\\\14 - 6= x\\\\8 = x[/tex]
y coordinate of B
[tex]midpoint = \frac{y +5 }{2}\\\\10 = \frac{y +5 }{2}\\\\10 \times 2 = y + 5\\\\20 - 5 = y \\\\15 = y[/tex]
B = ( 8 , 15)
Ramos spends $36.00 on a t-shirt and spends $20.00 on a hot dog.
Daniels spends $50.00 on shoes. Ramos has a bank account with a balance
of $100. How much will the purchase cost him? What would Ramos’ bank
balance be after all the debts were paid?
Answers
Answer:
$-6
Step-by-step explanation:
Spend
$36 on t-shirt
$20 hot dog
$50 shoes
Ramos money- $100
$36+$20+$50=$106
$100-$106=$-6
***Don't forget units***
Hope this was useful :)
Help find value of X please!
Answers
=========================================================
Explanation:
The mixed number 7 & 1/4 converts to the decimal form 7.25, since 1/4 = 0.25
The ratio 1:7.25 means that we'll multiply the smaller triangle's sides by the scale factor 7.25 to get the larger corresponding side
Meaning that the value of x is 3*7.25 = 21.75
This converts to the mixed number 21 & 3/4
Answer:
D
Step-by-step explanation:
which sum or difference is modeled by the algebraic tiles?
Answers
Answer:
C
Step-by-step explanation:
If i get 3486.25 points out of 4175 total amount of points, what would be my grade
Answers
The answer would be about 85.5%
Answer:
It would be B
Step-by-step explanation:
if you divide 3486.25 divided by 4175 it will equal 0.83 which equal 83% it can be ethier a B or a B-
Mark as braainllest if it helps!!!
Whats the surface area of a cube whose volume is 1664??
Answers
Answer:
A≈842.53
:))))
Volume = side³
=> 1664 = side³
=> ³√1664 = side
=> 4 (³√26) = side
=> 4 (26^1/3) = side
Surface area = 6 side²
=> Surface area = 6 × [4 (26^1/3)]²
=> Surface area = 6 × 140.42 [approximately]
=> Surface area = 842.54 [approximately]
Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
function?
Answers
Answer:
D = 3
Step-by-step explanation:
edge 2022
(4x^2+3x −5)+(x^2 −7x+10)
Answers
Answer:
[tex]5x^{2} -4x +5[/tex]
Step-by-step explanation:
Find (-4) for f(x) = 9(3)^x
A. -108
B. 1/3
C. -729
D. 1/9
Answers
Answer:
D
Step-by-step explanation:
9(3)^-4
3^2 × (3^-4)
in algebraic expression a^n × a^m = a^n+m
3^2+(-4)
3^-2
but 3^-2 = 1/3²
1/3²= 1/9
The option (4) is correct i.e., when [tex]x=-4[/tex] then
[tex]f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}[/tex]
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]f(x)=9(3)^x\\\\\\x=-4\\\\\\f(-4)=9(3)^{-4}\\\\f(-4)=\frac{9}{(3)^4}\\\\f(-4)=\frac{9}{81}\\\\f(-4)=\frac{1}{9}[/tex]
Hence, the option (4) is correct i.e., when [tex]x=-4[/tex] then
[tex]f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}[/tex]
To know more about the equation
https://brainly.com/question/12788590
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Which is an equation of a circle with center (2,7) and radius 4?
(x - 2)2 + (y - 7)2 = 4
Part
(x - 7)2 + (y - 2)2 = 16
5. Part
(x + 2)2 + (y + 7)2 = 4
d
(x - 2)2 + (y - 7)2 = 16
Answers
Answer:
16 = (x-2)² + (y-7)²Step-by-step explanation:
see image
Which expression is equivalent to
(X^1/4 y^16)^1/2?
Answers
Answer:
[tex]x^{\frac{1}{8} } y^{8}[/tex]
Step-by-step explanation:
Given :
[tex](x^\frac{1}{4} y^{16} )^{1/2}[/tex]
Now,
[tex](x^\frac{1}{4} y^{16} )^{1/2}\\x^{\frac{1}{8} } y^{8}[/tex]
Therefore, expression is equivalent to [tex]x^{\frac{1}{8} } y^{8}[/tex]
help me please
The following box plot represents the average heights of the students in Mr. Taylor's fourth grade math class.
What is the median of this data set and what is the interquartile range of this data set?
Answers
Step-by-step explanation:
the median = 140
the interquartile range = 141-138 = 3
Answer: The other guy is correct. You guys should give him 5 stars and Mark him brainliest.
.Divide the sum of 13/5 and -12/7 by the product of -31/7 and -(1/2)
Answers
Answer:
hello u so cool i admire you <3
enjoy points cuz I lost my Crown :(
Answers
Answer:
You know what :)
Step-by-step explanation:
I feel bad so if you ever need help you can ask me! :)
Answer:
hi yaar, mai hu indian
nice too meet you
my name Ankit kumar
any doubt
The graph below shows four sections: A, B, C, and D.
Which section of the graph represents the solution set of the system of inequalities below?
Answers
Hope this helps
44 : 20 is equivalent to __ : 5
20 : 15 is equivalent to 4 : __
5 : 2 is equivalent to __ : 8
Answers
To check:
when u multiply both sides in the ratio 11 : 5 by 4, you will get 44 : 20
20 : 15 is equivalent to 4 : 3
To Check:
Multiply both sides in the ratio 4 : 3 by 5, u get 20 : 15
5 : 2 is equivalent to 20 : 8
Multiply both sides in the ratio 5 : 2 by 4 to get 20 : 8
MARK ME BRAINIEST! Tysm
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
24 sq. m
Step-by-step explanation:
Area of the grass part = area of the park - area of sand area
Park:
l = 6 m ; w = 5 m
Area of park = l * w = 6*5 = 30 sq.m
Sand :
l = 3 m ; w = 2 m
Area of sand part = 3*2 = 6 sq.m
Area of grass part = 30 - 6 = 24 sq.m
Answer:
24 square meters is the area of the grass part.
Step-by-step explanation:
Multiply both sides of the "sand" section, which are 2 and 3. You get 6.
Now multiply two numbers, 5 and 6, to find the square meters of the whole area, including grass and sand, you get 30.
Now since you only need the area of the grass area, you subtract the area of the sand area, which is 6 sq meters, from the whole area, 30 sq meters, leaving you with 24 square meters as the answer.
(please help) What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions into ratio of 1 to 2?
Answers
Answer:
P(-5,-3)
Step-by-step explanation:
directed line segment AB where
A(-10,-5) and B(5,1)
Vector of segment AB = B-A = <15,6>
Add one third of the vector length to A to get the partition point, P
A(-10,-5) + <15,6>/3 =A(-10,-5)+<5,2> = P(-5,-3)
A polygon with 6 sides is shown. No angles go inside of the shape.
What type of polygon is shown?
convex heptagon
concave heptagon
concave hexagon
convex hexagon
Answers
Answer:
d. convex hexagon
Step-by-step explanation:
i got a 100 edge 2021
The type of Polygon shown as given in the question with its' shape is called; Convex Hexagon
How to define Polygons?We are told that the polygon has 6 sides and that no angle goes inside the shape.
Now, a polygon with 6 sides is called a hexagon. However, in this case the name will be a convex hexagon because it will have a hexagonal shape with no interior angle greater than 180°.
Despite that said, regular hexagons will always be called convex hexagon while Irregular hexagons can also be called convex hexagons.
Read more about Polygons at; https://brainly.com/question/1592456
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Answer the questions please and no links
Answers
Answer:
3. would be one above the negative 5
4. 3 up from positive 4
5. would be on the negative 2
write the letters on those points respectively.
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student plays a sport given that they play an instrument?
Answers
8 students out of 27
the total of students is 27 out of the 27 students 19 dont play and instrument and a sport
What are the coordinates of the point on the directed line segment from (1,−6) to (8,8) that partitions the segment into a ratio of 4 to 3?
Answers
The coordinate of the point on the directed line segment that partitions the segment into a ratio of 4 to 3 is (29/7,50/7)
How to determine the coordinate at the partition?The given parameters are:
A = (-1,6)
B = (8,8)
Ratio, m : n = 4 : 3
The coordinate at the partition is calculated using:
[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]
So, we have:
[tex](x,y) = \frac{1}{4 + 3} * (4 * 8 + 3 * -1,4 *8 + 3 * 6)[/tex]
Evaluate
[tex](x,y) = \frac{1}{7} * (29,50)[/tex]
Evaluate the product
(x,y) = (29/7,50/7)
Hence, the coordinate of the point is (29/7,50/7)
Read more about line partition at:
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help with question please
Answers
Answer:
i dont know
Step-by-step explanation:
Need help ASAP thanks
Answers
Answer:
B 15 has to be the answer i think but ion fully know
Answer:
b 15%
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
the answer to the question is d (8,85)
Answer: D since the equation would be y=10x
Step-by-step explanation:
Please help i'm struggling with this!It's urgent!
Answers
Answer:
m=1/2
Step-by-step explanation:
coordinatr points are:
(6,4) = (x1,y1)
(8,5) = (x2,y2)
slope(m) = y2-y1/x2-x1
=5-4/8-6
=1/2
Erin's jewelry box is in the shape of a rectangular prism. The measurements of the jewelry box are length 5 in, width 10 in, and height 3 in. What is the surface area of Erin's jewelry box?
Answers
Answer:
190 square inches
Step-by-step explanation:
Surface area of a rectangular prism formula is given as
2(LW + LH + WH)
Where
L = Length = 5in
H = Height = 3in
W = Width = 10in
Hence:
Surface area = 2(5 × 10 + 5 × 3 + 3 × 10) square inches
= 2 × (50 + 15 + 30) square inches
= 2 × (95) square inches
= 190 square inches
Therefore, the surface area of Erin's jewelry box is 190 square inches
may I please have help from anyone thank you so much !
Answers
Answer:
Hello! answer:
largest volume: Rectangle C
smallest volume: Rectangle A
Step-by-step explanation:
Rectangle A: 120
Rectangle B: 160
Rectangle C: 224
Rectangle D: 189
Hope that helps!
I need help please
Damian invested $12,000 in an account paying an interest rate of 5 1/4% compounded daily. Lillian invested $12,000 in an account paying an interest rate of 5 3/8% compounded annually. After 12 years, how much more money would Damian have in his account than Lillian, to the nearest dollar?
The one that are 1/4 and 3/8 see them as fraction just so y’all know
Answers
Answer:
I believe the answer is 275,862,600, but I haven't done this in forever so I'd wait for someone to double check it.
