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irga5000 [103]
3 years ago
10

After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(–2, 1), an

d C'(1, 7). What are the coordinates of the vertices of the pre-image?
Mathematics
2 answers:
Licemer1 [7]3 years ago
4 0
Assuming the original was rotated counterclockwise, and this only works for a rotation about the origin, a rotation of 90 degrees switches the x and y coordinate and depending on which part of the graph (quadrant) it is in the signs may change as well.  First, and the trickiest part is finding how the signs change. 

There are four quadrants, first, second third and fourth starting with the upper right than upper left than lower left then lower right.Since none of the veracities have a 0 in them we don't have to worry about the x or y axis, though it is worth realizing each axis is 90 degress from the others.  So something  at 2 on the x axis (2,0) moves 90 degrees counterclockwise would then be at 2 on the y axis (0,2) and moves one more time would be at (-2,0).

A' is in the first quadrant (upper right) so the previous quadrant 90 degrees clockwise is the fourth quadrant (lower right).  The signs of the coordinates then will go from (+,+) to (+,-).

Now that we have the signs we just switch the coordinates so (6,3) goes to (3,6) and the sign change makes it (3,-6).  Just follow this pattern with the other two points (-2,1), and (1,7) find the signs by figuring out the previous quadrant than switch the coordinates and apply the sign changes
iragen [17]3 years ago
3 0

A=(3,-6) B=(1,2) C=(7,-1)

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2 years ago
A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.
Alika [10]

Complete Question

A hypothetical population consists of eight individuals ages 13 14 17 20 21 22 24 30 years.  

A: what is the probability that a person in this population is a teenager?  

B: what is the probability of selecting a participant who is at least 20 years old?

We have that  probability that a person in this population is a teenager and probability of selecting a participant who is at least 20 years old is

From the question we are told

A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.

  • P(T)=0.38
  • P(T')=0.63

a)

Generally the equation for the  probability that a person in this population is a teenager   is mathematically given as

P(T)=\frac{no of teens}{n}\\\\P(T)=\frac{3}{8}

P(T)=0.38

b)

Generally the equation for the probability of selecting a participant who is at least 20 years old  is mathematically given as

P(T)=\frac{ participants\ who\ is\ at\ least\ 20\ years old}{n}\\\\P(T)=\frac{5}{8}

P(T')=0.63

For more information on this visit

brainly.com/question/11234923?referrer=searchResults

6 0
2 years ago
ASAP
poizon [28]
2x + 2(2x+3) = 360
2x +4x +6 = 360
6x  = 360 - 6
6x  = 354
x =  354/6
x = 59

answer: x = 59
5 0
3 years ago
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