a polygon with two diagonals
1. a polygon with two diagonals
A quadrilateral has two diagonals that are not adjacent to each other
2. polygon with two diagonal
Answer:
Quadrilateral
Step-by-step explanation:
Answer:
Regular Polygon have two diagonal and have equal an length
#CarryOnLearning
3. a polygon with two diagonals
Answer:
hopefully it's help
Step-by-step explanation:
brainlist pls
Answer:
A polygon with two diagonals called:QUADRILATERALStep-by-step explanation:
I HOPE IT HELPS
4. Word Poolo ctagondiagonalspentagon regular polygonirregular polygonconvex polygonconcave polygon1. A polygon with 5 sides is called2. It is a polygon whose sides and angles are equal is called3. A segment joining two nonconsecutive vertices of a polygon is called4. A polygon with 8 sides is called5. A polygon whose diagonals lie in the interior of the polygon is calledWhat I Can Do
Answer:
[tex]\sf\underline{{\: ANSWER:}}[/tex]1. A polygon with 5 sides is called
[tex]\red{\boxed{\tt{Pentagon}}}[/tex]2. It is a polygon whose sides and angles are equal is called
[tex]\red{\boxed{\tt{Regular\: Polygon}}}[/tex]3. A segment joining two nonconsecutive vertices of a polygon is called
[tex]\red{\boxed{\tt{Diagonals}}}[/tex]4. A polygon with 8 sides is called
[tex]\red{\boxed{\tt{Octagon}}}[/tex]5. A polygon whose diagonals lie in the interior of the polygon is called
[tex]\red{\boxed{\tt{Concave\: Polygon}}}[/tex]If you have any questions feel free to ask me. Have a nice day! ^^
[tex]\sf\green{{☘︎}}[/tex] [tex]\sf{{ Hope\:it\:helps!}}[/tex]
#CarryOnLearning5. correct word from the box non-convex polygon convex sides diagonal vertices exterior interior segments consecutive non-consecutive 1. A is a closed figure formed by at least three non-collinear segments called the 2. A of a polygon is a line segment that connects two vertices. 3. The point of intersection of two sides are called 4. A polygon is if no diagonal is in the exterior of the polygon. 5. A polygon is if at least one diagonal is in the of the polygon
Answer:
1. A polygon a closed figure formed by at least three non-collinear segments called the sides.
2. A diagonal of a polygon is a line segment that connects two non-consecutive vertices.
3. The point of intersection of two consecutive sides are called vertices.
4. A polygon is convex if no diagonal is in the exterior of the polygon.
5. A polygon is non-convex if at least one diagonal is in the exterior of the polygon.
[tex]\bold\pink{Happy to help:)}[/tex]
your the du-m
Step-by-step explanation:
6. 3. A diagonal is what?A A polygon with four sides.B. A 90 degree angle.C A segment that cuts through a polygon at 45 degrees.D. A segment that connects any two nonconsecutive vertices in a polygon.
Answer:
kala ko po ba filipino
pero sge na nga eto sagot
3.b
paki brainliest po plss
7. Choose the correct word that will make the statement true and writeyour answer in a separate sheet of paper.1. A polygon is a union of two, three) or more coplanar segmentswhich intersect at endpoints.2. A (convex, non-convex) polygon if the lines containing the sidesof the polygon do not contain points in its interior.3. Equilateral polygons are equal in (angles, sides).4. A diagonal is a segment joining non-consecutive (vertices.sides).5. A nonagon is a polygon having (seven, nine) sides.6. Hexagon is a polygon having Inine, ten) diagonals.7. In a polygon MATHEMATICS there are forty, forty-four)diagonals.8. In an eighteen-sided polygon there are one hundred, one-hundred thirty-five) diagonals.9. A polygon that has no diagonal consists of three, four) sides.10. A polygon having (five, six) sides has five diagonals.pa help Po thank you
Answer:
1. three
2. non-convex
3. sides
4. vertices
5. nine
8. a polygon with four sides and two diagonals
Answer:
this is a quadrilateral
Step-by-step explanation:
a quadrilateral is polygon with the matching description
Answer:
quadrilateral
A quadrilateral is a polygon with 4 sides.HAVE A NICE DAY
#CARRYONLEARNING
9. What segment joins two consecutive vertices of a polygon? A. angles B. lines C. side D. diagonals
Answer:
A
Step-by-step explanation:
A ang sagot ko correct na lng pag mali
Answer:
D. po ang sagot
Step-by-step explanation:
sana makatulong
10. A diagonal is a line segment connecting two non-consecutive vertices of a polygon
[tex]\color{yellow}\huge\mathcal{ANSWER:} [/tex]
As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.[tex]\color{red}\textit{Please mark me as a brainliest!} [/tex]
11. Find the number of sides of each of the two polygons if the total number of sides of the polygons is 15 and the sum of the number of diagonals is 36
Let x and y be the polygons:
x + y = 15
First Polygon = x
Second Polygon: 15-x
x + y = 15
y = 15-x
Number of Diagonals in each polygon = n (n-3)
2
Where n = number of sides of regular polygon
Number of Diagonals for First Polygon, x:
= x(x-3)
2
Number of Diagonals for Second Polygon, 15-x:
= (15-x) (15-x-3) or (x-12)(x-15)
2 2
Add the diagonals of the two polygons. The sum is 36.
[tex]( \frac{x(x-3)}{2} )+( \frac{(x-12)(x-15)}{2} ) = 36[/tex]
x² - 15x + 90 = 36
x² - 15x + 90-36 = 0
x² - 15x + 54 = 0
Solve by factoring:
(x-9) (x-6) = 0
x - 9=0 x - 6 = 0
x = 9 x = 6
The two polygons have sides of 6 and 9:
Hexagon = 6 sides
Nonagon = 9 sides
To check:
The sum of sides of two polygons is 15
6 + 9 = 15
The diagonals:
Polygon with 6 sides = 6 (6-3)
2
= 6(3)
2
= 18/2
= 9 diagonals
Polygon with 9 sides = 9 (9-3)
2
= 9 (6)
2
= 54/2
= 27 diagonals
The sum of the number of diagonals:
9 + 27 = 36
12. find the number of sides of each of the two polygons if the total number of sides of the polygons is 15, and the sum of the number of diagonals of the polygons is 36.
See attached file for detailed solution.
13. Find the number of sides of each of the two polygons if the total number of sides of the polygons is 15, and the sum of the number of diagonals is 36.
let D be the number of diagonals
let n be the number of side per polygon
formula :
[tex]D= \frac{n}{2}(n-3) [/tex]
by trial and error
let n = 9
[tex]D= \frac{9}{2}(9-3) [/tex]
[tex]D=27[/tex]
let n = 6
[tex]D= \frac{6}{2}(6-3) [/tex]
[tex]D=9[/tex]
D = 9 +27
D = 36
14. Find the number of sides of each of the two polygons if the total number of sides of the polygons is 13, and the sum of the number of diagonals is 25.
let x and y be the two polygons
x + y = 13
the formula for a diagonal in a polygon is [tex] \frac{n(n-3)}{2} [/tex]
Also since the sum of the diagonals is 25 you can write:
[tex] \frac{x(x-3)}{2} +\frac{y(y-3)}{2} =25[/tex]
Multiplying both sides by two you get,
[tex]x^2 - 3x + y^2 - 3y = 50[/tex]
Since you can transpose y to the other side you can get:
x + y = 13 can be written as: x = 13-y
Substituting,
[tex](13-y)^2 - 3(13-y) + y^2 - 3y = 50[/tex]
[tex]169 - 26y + y^2 - 39 + 3y + y^2 - 3y = 50[/tex]
[tex]2y^2 - 26y + 80 = 0[/tex]
Dividing by two you get,
[tex]y^2 - 13y + 40 = 0 [/tex]
(y-5)(y-8) = 0
Therefore the answer can be
1) x = 5, y = 8
OR
2) y=5, x=8
15. 1. A polygon with 5 sides is called________2. It is a polygon whose sides and angles are equal is called_______3. A segment joining two nonconsecutive vertices of a polygon is called_______4. A polygon with 8 sides is called________5. A polygon whose diagonals lie in the interior of the polygon is called_______
Answer:
1. pentagon
2.square
3.?
4. octagon
5.?
Answer:
Pentagonregular polygondiagonaloctagonconcave polygonStep-by-step explanation:
2. In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
3. As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.
5. Some of the diagonals of a concave polygon will lie outside the polygon. In the figure on the right, the diagonal at the top of the polygon is outside the polygon's interior space. (In a convex polygon, all diagonals will lie inside the polygon).
16. A segment whose endpoints are at two nonconsecutive vertices of the polygon is called aA. Conve Polygon B. Non-convex Polygon C. Diagonal of a polygonD. Triangle
Answer:
A segment whose endpoints are at two nonconsecutive vertices of the polygon is called a
A. Conve Polygon
B. Non-convex Polygon
C. Diagonal of a polygon
D. Triangle
1b
2b
3b
4n
8y
hope you like it
17. what is a region formed by two consecutive sides? a anglesb diagonalsc polygond side
Answer:
A
Step-by-step explanation:
I hope it helps
correct me if I'm wrong
pa follow na din thanks
Answer:
A. Angles
The interior angle of a regular polygon is formed by two consecutive sides.
18. It is the inside angle of a polygon formed by two adjacent sides.A. sideB. interior angleC. diagonal
Answer:
B-interior angel
Step-by-step explanation:
ଘ(੭*ˊᵕˋ)੭* ̀ˋ
19. find the number of sides of each of the two polygons if the total number of sides of the polygon is 15 and the sum of the number of diagonals of the polygon is 36
ANSWER: The two polygons have sides 9 (nonagon) and 6 (hexagon) each.
the number of diagonals are:
9-sided polygon = 27 diagonals
6-sided polygon = 9 diagonals
CHECK:
The sum of sides is 15:
9 + 6 = 15
15 = 15 (True)
Sum of diagonals is 36:
27 + 9 = 36
36 = 36 (True)
CLICK IMAGE below for solution (quadratic equation).
20. Find the number of sides of each of the two polygons if the total number of sides of the polygons is 13, and the sum of the number of diagonals of the polygon is 25.
N1+ N2 = 13; N1= 13-N2
D1 + D2 = 25
D=n/2 (n-3)
N1/2 (N1-3) + N2/2 (N2-3)=25
(13-N2)(13-n2-3)+n2(n2-3)=50
N2=8,5
21. The sum of the interior angles of the two polygons is 1440° and The sum of the sum of their diagonals is 19. a. What is the sum of the sides of the 2 polygons? Also show the Solution please.
✏️POLYGONS==============================
[tex] \large \bold{\blue{PROBLEM:}} [/tex]The sum of the interior angles of the two polygons is 1440° and The sum of the sum of their diagonals is 19.
a. What is the sum of the sides of the 2 polygons?[tex] \large \bold{\blue{SOLUTION:}} [/tex] There are two polygons, refer a and b as the number of their sides. And by using the formula of how to find the sum of interior angles and the number of diagonals of a polygon, we can find the number of sides of a polygon and its sum.
• Sum of all interior angles. (Refer S as the sum and n as the number of sides)
[tex] \boxed{S = (n - 2) \cdot 180 \degree} [/tex]• Number of diagonals. (Refer D as the number of diagonals and n as the number of sides)
[tex] \boxed{D = \frac{n(n - 3)}{2}} [/tex]» Make equations on the given statements.
[tex] \begin{cases} \small (a-2) \cdot 180 \degree + (b-2) \cdot 180 \degree = 1440 \degree \\ \frac{a(a-3)}{2} + \frac{b(b-3)}{2} = 19 \end{cases} \: \begin{align} \red{(eq. \: 1)} \\ \red{(eq. \: 2)} \end{align} [/tex]» Find the value of a in the first equation in terms of b.
• First Equation:
[tex] \small (a-2) \cdot 180 \degree + (b-2) \cdot 180 \degree = 1440 \degree [/tex][tex] \small 180\degree a - 360\degree + 180\degree b - 360\degree = 1440 \degree [/tex][tex] \small 180\degree a + 180\degree b = 1440 \degree + 360 \degree + 360 \degree [/tex][tex] 180\degree a + 180\degree b = 2160 \degree [/tex][tex] 180\degree a = 2160 \degree - 180 \degree b [/tex][tex] a = 12 - b [/tex][tex] \begin{cases} a = 12 - b\\ \frac{a(a-3)}{2} + \frac{b(b-3)}{2} = 19 \end{cases} [/tex]» Substitute a to the second equation to find b, but first, simplify the second equation.
• Second Equation:
[tex] \frac{a^2-3a}{2} + \frac{b^2-3b}{2} = 19 \\ [/tex][tex] \frac{(12-b)^2 - 3(12-b)}{2} + \frac{b^2-3b}{2} = 19 \\ [/tex][tex] \frac{108-21b+b^2}{2} + \frac{b^2-3b}{2} = 19 \\ [/tex][tex] \small \Bigg( \frac{108-21b+b^2}{2} + \frac{b^2-3b}{2} \Bigg) \cdot 2 = 19 \cdot 2 \\ [/tex][tex] 108-21b+b^2 + b^2-3b = 38 [/tex][tex] 108 - 24b + 2b^2 = 38 [/tex][tex] 108 - 24b + 2b^2 - 38 = 0 [/tex][tex] 70 - 24b + 2b^2 = 0 [/tex][tex] 2b^2 - 24b + 70 = 0 [/tex][tex] b^2 - 12b + 35 = 0 [/tex]» Use only one solution. It could be any since a and b aren't specified. I prefer addition.
[tex] b = \frac{-(-12) + \sqrt{(-12)^2 - 4(1)(35)}}{2(1)} \\ [/tex][tex] b = \frac{12 + \sqrt{144 - 140}}{2} \\ [/tex][tex] b = \frac{12 + \sqrt{4}}{2} \\ [/tex][tex] b = \frac{12 + 2}{2} \\ [/tex][tex] b = \frac{14}{2} \\ [/tex][tex] b = 7 [/tex][tex] \begin{cases} a = 12 - b\\ b = 7 \end{cases} [/tex]» The other polygon has 7 sides aka Heptagon. Substitute it to the first equation to find a aka the number of sides of the other polygon.
[tex] \begin{cases} a = 12 - 7 \\ b = 7 \end{cases} [/tex][tex] \begin{cases} a = 5 \\ b = 7 \end{cases} [/tex]» Thus, the two polygons are Pentagon (5 sides) and Heptagon (7 sides). Identify their sum.
[tex] 5 + 7 = 12 [/tex][tex] \large \therefore \underline{\boxed{\tt \purple{The \: sum \: of \: their \: sides \: is \: 12}}} [/tex]
==============================#CarryOnLearning
(ノ^_^)ノ
22. What is a diagonal? A. a segment that connects any two non-consecutive vertices in a polygon B. a polygon with four sides C. a segment that cuts through a polygon at 45 degrees D. a 90-degree angle
Answer:
A.
Step-by-step explanation:
Sana makatolong Cary on learning
23. Find the number of sides of each of the two polygons if the total number of sides of the polygons is 13, and the sum of the number of diagonals of the polygon is 25.
x + y = 13
y = 13 - x
Representation:
x = total number of sides of first polygon
13 - x = total number of sides of second polygon.
Number of diagonals in a polygon:
[tex] \frac{n(n-3)}{2} [/tex]
where n = number of sides of a polygon
Number of diagonals in first polygon with x sides.
Substitute x for n:
= x (x-3)
2
= x² - 3x
2
Number of diagonals in second polygon with 13-x sides.
Substitute 13 - x for n:
= 13 - x (13 - x - 3)
2
= 13 - x (10 - x)
2
= 130 -13x - 10x + x²
2
= x² - 23x + 130
2
The sum of diagonals of the two polygons is 25.
x² - 3x + x² - 23x + 130 = 25
2 2
x² + x² -3x - 23x + 130 = 25
2
2 (2x² - 26x + 130 = 25) 2
2
2x² - 26x + 130 = 50
2x² - 26x + 130 - 50 = 0
2x² - 26x + 80 = 0
Factor out 2 (GCF)
2 (x² - 13x + 40) = 0
Factor the quadratic equation, then solve for the roots (x):
x² - 13x + 40 = 0
(x - 8) (x - 5) = 0
x - 8 = 0 x - 5 = 0
x = 8 x = 5
The number of sides of each polygon:
First polygon:x ⇒ x = 8 sides (octagon)
Second polygon: 13 - x ⇒ 13 - 8 = 5 sides (pentagon)
To check if 8 and 5 sides are correct:
The sum of the sides of the two polygons is 13
8 + 5 = 13
13 = 13
The sum of the diagonals of the two polygons is 25:
Diagonals of first polygon with 8 sides, where n = sides:
n (n-3) = 8 (8-3) = 8(5) = 40 = 20 diagonals
2 2 2 2
Diagonals of the second polygon with 5 sides, where n = sides:
n(n-3) = 5 (5-3) = 5(2) = 10 = 5 diagonals
2 2 2 2
Add the diagonals:
20 + 5 = 25
25 = 25
FINAL ANSWER: The number of sides of the two polygons are 8 and 5 sides.
24. what polygon can be formed when quadrilateral is diagonally divided into two?
Answer:
triangle
Step-by-step explanation:
try mong iimagine yung bond paper hatiin padiagonal, triangle ang lalabas
25. what is the name of a segment connecting two consecutive vertices? A. angles B. diagonalC. polygonD. side
Answer:
What is the name of a segment connecting two consecutive vertices?
A. angles
B. diagonal
C. polygon
D. side
- a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge. Informally, any sloping line is called diagonal.
Step-by-step explanation:
hope it helps
26. what is polygon with two diagonals
Step-by-step explanation:
CORRECT ANSWER IS QUADRILATERALAnswer:
As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices.
Step-by-step explanation:
yan tama po yan pq brainliest nalang
27. ACTIVITY: Identify the following: __________ 1. A closed figure formed by three or more segments that intersects only at their endpoints. __________ 2. A segment that connects any two nonconsecutive vertices of a polygon. __________ 3. A polygon with eight sides. __________ 4. A polygon wherein all the diagonals are inside the polygon. __________ 5. Two angles of a polygon that have a common side.
Answer:
1.polygon
2.diagonal
3.octagon
4.convex polygon
5.adjacent angles
Step-by-step explanation:
sana po makatulong sorry po kung mali
28. D. diagonal 6. It is a part of a polygon from which two sides meet at a common point A. Line segment B. vertex C. diagonal D. angle
Answer:
B vertex
Step-by-step explanation:
hope this help to you thansk
29. 1. A polygon is a closed curve. 2. All diagonals of a convex polygon lie completely inside the polygon. 3. Diagonal is a segment joining two non-consecutive vertices. 4. A polygon with 15 sides is called pentadecagon. 5. Triangle is a polygon with least number of sides. 6. A convex polygon is also concave. 7. The point of intersection of two adjacent sides of a polygon is called its vertex. 8. Any two sides of a polygon having the same vertex are called adjacent sides. 9. In a polygon, angle formed by a side and an extension of an adjacent side is called an exterior angle. 10. The sum of all exterior angles of a polygon is 360°.Bukas ko na ito ipapass
Answer:
1. true
2. true
3. true
4. true
5. true
6. false
7. true
8. true
9. true
10. true
30. A diagonal is a line segment connecting two non-consecutive vertices of a polygon
[tex]\color{yellow}\huge\mathcal{ANSWER:} [/tex]
As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.[tex]\color{red}\textit{Please mark me as a brainliest!} [/tex]
☀︎︎[tex]\color{magenta}\tiny\underline{follow \: me} [/tex]☃️☕