MATHEMATICS HIGH SCHOOL

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?75°

45°

36°

30°

Answers

Answer 1
Answer: Central angle of a 12-sided regular polygon:
360° : 12 = 30°
Answer: D ) 30°
Answer 2
Answer:

the answer is

d=30 degrees

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Four friends decided to host the grand opening of their bar on St. Patrick's Day. They built their bar's at different distances from each other. John's bar is 60 km away from Ben's bar. Doug's bar is 40 km away from Kieran's bar. John's bar is 10 km nearer to Doug's bar than to Kiran's bar. How far away is Doug's bar to Ben's bar?

Answers

Doug's bar is 50 km away from Ben's bar. let me know if I need to explain.

The diagonals of a parallelogram QRST, TR And QS, Intersect at point U, if RS = 10 , ST=12,And RU=9.5 , Find The Perimeter Of The parallelogram QRST.A. 39
B. 44
C. 88
D.100

Answers

Answer:

(B)44

Step-by-step explanation:

It is given that The diagonals of a parallelogram QRST, TR And QS, Intersect at point U, if RS = 10 , ST=12,And RU=9.5.

Now, Since, RS =10, then RS=QT=10 (Opposite sides of parallelogram are equal).

And, ST=12, then ST=QR=12 (Opposite sides of parallelogram are equal)

Thus, The perimeter of the parallelogram QRST is given as:

Perimeter=Sum of all the sides

Perimeter=QR+RS+ST+TQ

Perimeter=12+10+12+10

Perimeter=44

Therefore, the perimeter of the given parallelogram QRST is 44 units.

Hence, option B is correct.
The answer is B. 44

If a store advertised a sale that gave customers a 1/4 discount,what is the fractional part of the original price that the customers will pay?

Answers

It's easy to explain this using numbers- Let's say you buy something that costs $16.  1/4 of that is $4.  16 - 4 = 12.  
12/16 = 6/12 = 3/4 

Another way of explain this is using subtraction with fractions: 
1 - 1/4 = 1/1 - 1/4 = 4/4 - 1/4 = 3/4 

Therefore the customers will pay 3/4 of the original part. 

Under a dilation, the point (2, 6) is moved to (6, 18). What is the scale factor of the dilation?

Answers

Answer-3

2*3=6

6*3=18

-Steel jelly

Answer: The scale factor of the dilation =3


Step-by-step explanation:

We know that if we transform point (x,y) by using dilation with scale factor k then the coordinate of the image will be (kx,ky).

Given: under a dilation, the point (2, 6) is moved to (6, 18)

Here (x,y)=(2,6) and (kx,ky)=(6,18)

\n\Rightarrow\ x=2\ and\ kx=6\n\Rightarrow\ k(2)=6\n\Rightarrow\ k=3

Hence, the scale factor for the given dilation= 3.

Which of the following sets could be the sides of a right triangle?{2, 3,square root of 13 }
{2, 2, 4}
(1, 3,square root of 3 }

Answers

Answer:

1st answer

Step-by-step explanation:

From pythagorus theorem.

Since hypotenuse

= \sqrt{ {2}^(2) + {3}^(2) }= \sqrt{ {13}}

How do I write 88.691 as a mixed number?

Answers

88.691 is 88 691/1000 as a fraction
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