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Leto [7]
3 years ago
6

If triangle MNO is rotated 180 degrees clock wise about the Irgun to form triangle PQR , what are the coordinates of the vertica

ls of Triangle PQR?
What conjecture can be made about the relationship between the coordinates of the vertices of a shape rotated 180 degrees clockwise about the origin and original shape ? explain your reasoning

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer: u got a course hero account ?

Step-by-step explanation:

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What is the domain and range of y=6
Ilya [14]

Answer:

domain -infinity

range(6)

Step-by-step explanation:

7 0
3 years ago
The initial population of a town in the year 2010 was 20 000. By 2014, the population had grown exponentially to 32 500 people.
stiv31 [10]

Answer:

  P = 20000×1.625^(n/4)

Step-by-step explanation:

An exponential equation can be written using the given data:

  value = (initial value)×(growth factor in period)^(n/(period))

Here, the growth is by a factor of 32500/20000 = 1.625, and the period is 4 years. Then your exponential equation is ...

  P = 20000×1.625^(n/4)

3 0
3 years ago
Need help for 18) 21) Solve each equation and check. Show all work please
Alexxandr [17]
18) (10)7d/10=35(10)
7d/7=350/7
d=50
21) 3/4 w=27
(4/3)3/4 w=27(4/3)
w=36
Hope this helps!
5 0
3 years ago
A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?
koban [17]

Answer:

  1296√3 cubic units

Step-by-step explanation:

The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.

The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...

  B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units

The volume of the prism is then ...

  V = Bh = (108√3)(12) = 1296√3 . . . cubic units

_____

<em>Comment on the geometry</em>

The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.

6 0
3 years ago
The solutions to the equation 2x +X-1 = 2 are X = or <br>x=<br>The solutions to the equation 2​
expeople1 [14]
The value of X equals to 1
4 0
3 years ago
Read 2 more answers
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