1. Find the sum of the interior angles of each of thefollowing polygons.(a) 11-gon (b) 12-gon(c) 15-gon(d) 20-gon
1. 1. Find the sum of the interior angles of each of thefollowing polygons.(a) 11-gon (b) 12-gon(c) 15-gon(d) 20-gon
Jawaban:
following polygons
(d) 20-gon
2. if the sum of interior angles is 9 times from the sum of exterior angles . find waht kind of poligon is the shape
The sum exterior angles always 360°
9 x 360° = 3240°
Sum of interior angles = (n - 2) x 180°
3240° = (n - 2) x 180°
n - 2 = 18°
n = 20°
The poligon is called icosagon.
3. 1. In the figure, AB || CD. (a) List down (1) two pairs of equal corresponding angles, (ii) two pairs of equal alternate angles, (iii) two pairs of interior angles which are supplementary. (b) Is BWQ = AXR? Explain your answer. c) Is the sum of DYP and CZR equal to 180? Explain your answer.
Penjelasan dengan langkah-langkah:
Kita translite ke Bahasa Indonesia dulu
Pada gambar, AB || CD.
(a) Daftar ke bawah
(1) dua pasang sudut yang bersesuaian sama besar,
(ii) dua pasang sudut yang sama besar,
(iii) dua pasang sudut dalam yang bersuplemen.
(b) Apakah BWQ = AXR? Jelaskan jawabanmu.
c) Apakah jumlah DYP dan CZR sama dengan 180? Jelaskan jawaban Anda
Garis dan SudutJawaban
A.
(i) 2 Pasang sudut yang bersesuaian sama besar adalah
< W = < X
< Y = < Z
(ii) 2 Pasang sudut yang sama besar
< W = < X
< Y = < Z
(iii) 2 Pasang sudut dalam yang tambahan
< YWX dan < ZXW
< WYZ dan < XZY
B. BWQ = AXR
Tidak sama karena < BWQ lebih landai dibandingkan dengan < AXR yang lebih lancip
C. DYP + CZR = 180⁰
Ya, karena < DYP dan < CZR saling berhadapan maka jumlah kedua sudut adalan 180⁰
Detail Jawaban
Mapel: Matematika
Kelas: 7 / VII SMP
Materi : Garis dan Sudut
Kode Kategorisasi: -
Kata Kunci: Garis dan Sudut
Demikian
Semoga membantu dan bermanfaat!
4. aku ada pertanyaan matematika nih tp pake bahasa inggris . ada yag bisa bantu gk ? ini soalnya 1. the sum of the three angles of a triangle is 180degree. the sum of two of the angles is equal to the third angle and the difference of the two angles is equal to
jumlah dari tiga sudut segitiga adalah 180 derajat . jumlah dua sudut sama dengan sudut ketiga dan perbedaan dari dua sudut sama dengan...
misal sudutnya : a + b + c = 180
a + b = c
a + b - c = 0
eliminasi diperoleh
2c = 180
c = 90
a + b = 90
a = 90 - b
5. 3. In the diagram, the sizes of two angles are marked.a What other angles are 105°?b What other angles are 75°?
Jawab:
a) 105⁰ = q⁰, r⁰, u⁰
b) 75⁰ = p⁰, s⁰, t⁰
Penjelasan dengan langkah-langkah:
105⁰ opposite with q⁰ so it's equal
105⁰ have same direction with r⁰ so it's equal
r⁰ opposite with u⁰ so it's equal too
For 75⁰ the explanation it's the same
6. 18. If the size of the angles of triangle are 3x°,4x°and 5x°. The biggest angle of triangle is ...
sudut segitiga = 180°
3x° + 4x° + 5x° = 180°
12x = 180
x = 180/12
x = 15
sudut terbesar = 5x = 5 × 15 = 75°
7. yg bisa bantuin yakk.. the sum of the three angles of triangle is 180degree. the sum of the angle is equal to the third angle and the difference of the two angles is equal to 2/3 the third angle. find the angles of this triangle
Misalkan sudut A,B,C
A=B
A+B=⅔C
A+B+C=180
1:1:3=180
maka
2A+3A=180
5A=180
A=180/5
A=36
A+B+C=180
36+36+C=180
C=180-72
C=108
Jadi sudut A=36, B=36 dan C=108
8. calculate the sizes of the lettered angles.
Jawaban:
c°=180°-(60+24)°=180°-84=96°
d°=180°-(34+90)°=180°-124°=56°
9. 5 a. From the following statement, write true or false for the property of the rectangle The opposite sides are equal and parallel. Two diagonals are equal, bisect each other, and are perpendicular. The opposite angles are equal and both diagonals are the bisector of the angle. The adjacent angles are supplementary.
Jawaban:
b.inggris,............
10. If the angles of a triangle are inthe ratio 1:3:5, then how many degrees are in the measure of the smalest angle?
Jawaban:
22.5 degrees
Penjelasan:
one triangle has total of 360 degrees
so :
one plus three plus five equals eight
small angle of triangle has a ratio 1 of 8 (1/8)
1/8 . 180 = 22.5 degrees
11. If the angles of a triangle are inthe ratio 1:3:5, then how many degrees are in the measure of the smalest angle?
Jawab:
Penjelasan dengan langkah-langkah:
Jawaban:
angles ratio = 1 : 3 : 5
= x, 3x, 5x
smallest angle = x
total angles in triangle = 180⁰
x+3x+5x= 180
9x= 180
x= 20⁰---------
semangat belajar...
12. the sum of three angles of triangle of 180 deg. the sum of two of the angles is equal to the third angle and the difference of the two angles is equal to 2/3 the third angles find the angles of this triangle?
suppose that :
x = first angle
y = second angle
z = third angle
The sum of three angles of triangle of 180°
So :
x + y + z = 180
The sum of two of the angles is equal to the third angle
So :
x + y = z
The difference of the two angles is equal to 2/3 the third angles
So :
x - y = (2/3) z
subtitute x + y = z
x + y + z = 180
z + z = 180
2z = 180
z = 180/2
z = 90
x + y = z
x + y = 90
x - y = (2/3) z
x - y = (2/3) (90)
x - y = 60 >>> x = 60 + y
subtitute x = 60 + y
x + y = 90
60 + y + y = 90
60 + 2y = 90
2y = 90 - 60
2y = 30
y = 30/2
y = 15
x = 60 + y
x = 60 + 15
x = 75
We got :
x = 75
y = 15
z = 90
So, the angles are 75°, 15°, and 90°
13. Calculate the length of the arcs formed by the following angles. Use r=3,141.Arc GE
hanya ora tuhan dan guru yang tau
Penjelasan dengan langkah-langkah:
nem.ora Takon Mbah Google wkwkwk
14. 3 Eddy draws each of the following shapes on square dot grid paperHow many sides and angles does each shape have?Mark all the angles inside each shapeShapeNumber of sides Number of angles
cara dan jawabannya seperti di foto ya.
semangat belajar....
15. calculate the sizes of the lettered angles
Jawab:
c = 204°a = 228°Penjelasan dengan langkah-langkah:
<c = 360° - (36° + 68° + 52°)= 360° - 156°
= 204°
<a = 360° - (42° + 90°)= 360° - 132°
= 228°
=====================================
DETAIL JAWABAN=====================================
Mapel : Matematika
Kelas : 7
Materi : Garis dan Sudut
Kata Kunci : Calculate the size of teh lettered angles, <c and <a
Kode Soal : 2
Kode Kategori : 7.2
16. calculate the sizes of the lettered angles.
c° : 96°d° : 56°
Penjelasan dengan langkah-langkah:
c°=180-60-24
=96
d°=180-90-34
=56
17. 19. If the size of the angles of triangle are 3x°,4x° and 5xº. Then value of 4xºis ...
<A + <B + <C = 180°
3x° + 4x° + 5x° = 180°
12 x° = 180°
x= 180/12 = 15°
so, 4x° = 4(15)° = 60°
18. There are..... The shapes of them are..... Because they have ...... sides and.... angles
Jawaban:
There are.....
The shapes of them are.....
Because they have ...... sides and.... angles
Answer :
There are trianglerulers
Theshapesofthemaretriangle
Becausetheyhavethreesidesandthreeangles
trianglerulers:Penggaris² segitiga
sides : sisi
angles : sudut
Mapel : Bahasa Inggris
Materi : two-dimentional figure
19. Calculate the exterior and interior angles of a 36-sided regular polygon.
[tex]interior \: angles \: = (n - 2) \times {180}^{0} \div 36 \\ = (36 - 2) \times {180}^{0} \div 36 \\ = 34 \times {180}^{0} \div 36 \\ = {6120}^{0} \div 36 \\ = {170}^{0} \\ \\ exterior \: angles \: = \frac{ {360}^{0} }{36} \\ = {10}^{0} [/tex]
20. If the size of the angles of triangle are 3x°,4x°,5x°.the smallest angle of the triangle is
Jawaban Master Teacher
12x = 180°
x = 15°
smallest angle
3x = 45°
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