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Tanzania [10]
3 years ago
8

Circle theorems please help

Mathematics
1 answer:
suter [353]3 years ago
6 0

Answer:

n = 28°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc.

Also angles subtended on the same arc are congruent , thus

m = n

Then

35 + m = \frac{1}{2} (98 + n ) ← multiply both sides by 2 to clear the fraction

70 + 2m = 98 + n , but since m = n, then

70 + 2m = 98 + m ( subtract m from both sides )

70 + m = 98 ( subtract 70 from both sides )

m = 14 and n = 28

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When 80% of a number is added to the number, the result is 252. what is the number
Rashid [163]
I Think The Answer Is 140.

The Expression: 0.8x + x = 252 Can Explain The Answer If x = 140.
Or: 1.8 Times x = 252 If x = 140.

3 0
3 years ago
Can someone please help me
Readme [11.4K]
Surface Area of the figure is 1208 square centimeters
a=20
b=13
c=12
d=5
e=8
Top face:
A1=a×e=20×8
ae=160
Bottom face:
A2(a+2d)×e=(20+2×5)×8=(20+10)×8=30×8
(a+2d)e=240
Front face:
Rectangle
a×c=20×12=240
Triangle:
12c×d=12×12×5=6×5=30
A3Rectangle +2 triangles
240+2×30=240+60=300
(a+d)c=300
Slant face:
A4=b×e=13×8=104
be=104
Total surface area
A=A1+A2+2(A3+A4)
A1=160
A2=240
A3=300
A4=104
Thus,
A=160+240+2(300+104)
A=400+2(404)
A=400+808=1208
Surface Area of the figure is 1208 square centimeters


8 0
3 years ago
Solve the system x+3=22 2x-y=2
steposvetlana [31]

Hello from MrBillDoesMath!

Answer:

x = 19, y = 36

Discussion:

x + 3 = 22     (*)

2x - y = 2      (**)


Subtract 3 from both sides of (*)

x + 3 -3 = 22 = 3 = 19  =>

x = 19


Substitute x= 19 in (**)

2(19) - y = 2 =>

38 - y = 2 =>           (add y to both sides)

38 -y + y = 2 + y =>

38 = 2 + y  =>         (subtract 2 from both sides)

38 -2 = 2 -2 + y =>

36 = y


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


3 0
3 years ago
Choose the correct definition of a sampling distribution. The sampling distribution of a statistic of size isa.the distribution
sweet-ann [11.9K]

Answer:

The answer is Option D:

<em>"The distribution of all values of the statistic resulting from all samples of size taken from the same population."</em>

<em />

Step-by-step explanation:

First, is a distribution of all values. It has to include all the possible values of the statistic with its associated probability.

Second, is a distribution of a statistic because we are talking about sample results.

Third, it has to be taken from the same population and have to have the same sample size.

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3 years ago
Keith, Jason, Alyssa and Monique each have 27 playing cards. How many card to they have in all?
gtnhenbr [62]

Answer: I think its 81 but i'm not that sure.

Step-by-step explanation:

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