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Ipatiy [6.2K]
3 years ago
8

25 points

Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

Part A

The rotation of the point (x, y) 180° about the origin gives the point (-x, -y)

Therefore, we have the points, ΔLMN, L(1, 1), and M(2, 2), and N(3, 3)

The coordinates of the vertices of the image, ΔL'M'N' are L'(-1, -1), and M'(-2, -2), and N'(-3, -3)

Please find attached the graph of triangle ΔLMN and ΔL'M'N'

Part B

The lines drawn through L and L' and through M and M' are colinear

Part C

A line is defined by two points, such as L and M. Rotation of a line through 180° about the origin will give an image location on the same path as the extension of the original line.

The third point, N, however, defines a plane, and the rotation of a plane by 180° will give an image which is turned upside down with regards to the preimage

Therefore, a trough in the preimage becomes a peak in the image and the lines drawn through N and N' crosses the colinear lines drawn throgh M and M' and L and L'

Step-by-step explanation:

if this helps can i have brainliest please

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At Roberta’s cafe half of her regular customers order her famous low-fat chicken sandwich. The probability of a regular customer
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Answer:

The probability of losing weigth given that the sandwich was ordered is 80%.

Step-by-step explanation:

The probability of a regular costumer ordering the sandwich is said to be 50% and the probability of someone ordering that sandwich and losing weight is 40%. So we the probability of someone losing weigth if the sandwich was ordered is:

sandwich and losing weigh = (ordering sandwich)*losing weigth

losing weigth = (sandwich and losing weigth)/(ordeing sandwich)

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The probability of losing weigth given that the sandwich was ordered is 80%.

6 0
3 years ago
A train leaves Kaduna for Lagos at 64km/h and an express to Kaduna leaves Lagos an hour later at 96km/h. If the distance between
LenKa [72]
Good to see you here. Now back to the train. 

Kaduna, K                                                                                   Lagos, L
 
Train leaves at 64 km/h

One hour late second train leaves Lagos at 96 km/h.

At the point they meet, if first train has been travelling for "x" hours. Second train has been travelling for (x-1) hour.

At the point the meet, the total distance travelled is equal to 624 km.

Therefore:

64(x) + 96(x-1) = 624
64x + 96x - 96 = 624
160x = 624+96
160x =       720             , x = 720/160 = 4.5

So when they meet, the first train which left Kaduna has travelled= 64x = 64*4.5= 288km from Kaduna.

So it is (624-288) km from Lagos. = 336 Km from Lagos.

Second train which left Lagos has travelled = 96(x-1) = 96(4.5-1) = 336km.
The second train is also 336 km away from Lagos.

Cheers.

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3 years ago
Is the following function even,odd, or neither?
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Answer:

1. Even

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How is the underlined pronoun used in the subordinate clause? Give _whoever_ comes into the store a copy of our brochure. A. dir
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I believe whoever is the indirect object of the sentence.  
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3 years ago
Which of the following translations is needed to carry ΔEFG onto its image ΔE'F'G'?
zhannawk [14.2K]

The transformation rule needed to generate the triangle E'F'G' is (x, y) → (x - 4, y + 11).

<h3>What is the transformation rule for the translation of a triangle?</h3>

Herein we see the triangle EFG and the triangle E'F'G', result of the translation of the former triangle.

A triangle is generated by three non-collinear points. Translation is a kind of rigid transformation and there is a translation if and only if each pair of related points is related to one and same translation vector:

T(x, y) = P'(x, y) - P(x, y)           (1)

Where:

  • P(x, y) - Original point
  • P'(x, y) - Resulting point

Now we proceed to check if the triangle E'F'G' is the result of a translation:

T₁(x, y) = E'(x, y) - E(x, y)

T₁(x, y) = (- 9, 4) - (- 5, - 7)

T₁(x, y) = (- 4, 11)

T₂(x, y) = F'(x, y) - F(x, y)

T₂(x, y) = (- 7, 8) - (3, - 3)

T₂(x, y) = (- 4, 11)

T₃(x, y) = G'(x, y) - G(x, y)

T₃(x, y) = (- 2, 3) - (2, - 8)

T₃(x, y) = (- 4, 11)

The transformation rule needed to generate the triangle E'F'G' is (x, y) → (x - 4, y + 11).

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

6 0
1 year ago
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