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ahrayia [7]
3 years ago
15

Can someone please explain how to do this? Geometry EOC's are tomorrow and I have to know this stuff so please answer quickly.

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
8 0
A rule of Polygons is that the sum of the exterior angles must equal 360. 
Remember that for your testing. 
A polygon is where all sides equal the same amount, in your case, 18 degrees.
So divide 360 by 16, equalling D.20
Good Luck!

Dmitry_Shevchenko [17]3 years ago
8 0
3.
we can solve it

draw a point for the center
draw lines from the center to each vertex
you get  lots of triangles

see the diagram so it won't be confusing an since I will be refering to stuff in there

striahge line=180
so
18+x+x=180
minus 18
2x=162
divide 2
x=81
now we know 2 interior angles
x and y=81
angles ina triangle add to 180
therefor
x+y+z=180
81+81+z=180
162+z=180
minus 162
z=18

all central angles add up to 360
how man y are there?
18 times how many=360
divide both sidess by 18
how many angles=20
20 central angles=20 sides





4.

we can compare using side to angle ratios
since 9=9 and they share a side, the sides PQ and SR and congruent and PS is congruent to PS
therfor the only different side is QS and PR

ratio is the angles
QS:PR=63:105=3:5

they are in ratio 3:5

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Find the sum of the series given in sigma notation.
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Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

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3k -2 ------1

put k = 6 in above eq. for finding first term

  a1 = 3(6) - 2  = 18 - 2 = 16

put k = 7 in above eq. for finding first term

 a2 = 3(7) - 2 = 21 - 2 = 19

 a3 = 3 (8) - 2 = 24 - 2 = 22

16, 19 , 22, ...  //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = \frac{n}{2}(2a1 + (n-1)d)

      = \frac{7}{2}(2a1 + (7-1)d)

      = \frac{7}{2}(2(16) + (6)3)

      =  \frac{7}{2}(32 + 18)    

      =  \frac{7}{2}(50)

      = 7 * 25

      = 175




4 0
3 years ago
Which equation could have been used to create this graph?
Pavlova-9 [17]
C
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8 0
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4 years ago
Help center of circle
Lelu [443]

Answer:

Center = (7, - 5)

Radius = 3

Step-by-step explanation:

{x}^{2}  +  {y}^{2}  + 14x - 10y + 65 = 0 \\  {x}^{2}  + 14x +  {y}^{2}  - 10 + 65 = 0 \\ ( {x}^{2}  + 14x +  {7}^{2})  -  {7}^{2}  +  ({y}^{2}  - 10y +  {5}^{2})  \\-  {5}^{2}  + 65 = 0 \\ (x + 7)^{2}  + (y - 5)^{2}  - 49 - 25 + 65 = 0 \\  (x + 7)^{2}  + (y - 5)^{2}  - 49  + 40= 0 \\   (x + 7)^{2}  + (y - 5)^{2}  - 9= 0 \\   (x + 7)^{2}  + (y - 5)^{2}   =  9 \\  (x + 7)^{2}  + (y - 5)^{2}   =   {3}^{2}  \\  equating \: it \: with \: \\ (x  -  h)^{2}  + (y - k)^{2}   =   {r}^{2}  \\  - h = 7 \implies \: h =  - 7 \\  - k =  - 5 \implies \: k = 5 \\ center = ( - h, \:  - k)  = (7, \:  \:  - 5) \\  \\ radius \: r = 3

7 0
3 years ago
What is the surface area of a triangular prism,
andriy [413]

Answer:

A=132

Step-by-step explanation:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=3·10+4·10+5·10+1

2·﹣34+2·(3·4)2+2·(3·5)2﹣44+2·(4·5)2﹣54=132

8 0
3 years ago
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