The coordinates of the vertices of LMN acquired a -ve sign to form the image L'M'N'. The line passes through the origin.
Step-by-step explanation:
When a point is rotated through 180° about the origin clockwise/anticlockwise, the coordinates of the object point T (h,k) takes a new position (-h,-k) to form the image T'. A line joining an object point to its image point will pass through the origin that is the center of rotation.
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Rotation about the origin through 180°: brainly.com/question/7747099
Keywords : Rotate, origin,graph, triangle
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Answer:
55 days or about 7 weeks
Step-by-step explanation:
9(7)= 63 because there are 7 days in one week
63+5=<u><em>68</em></u>
1(7)=7
7+6=<u><em>13</em></u>
68-13=55
Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
x+3-1.26923+4.12821 so if I am wrong it took me a while to work this out
Answer: Company B
Step-by-step explanation:
First we must calculate the area of the carpet. Variable A represents area.


So the area of the carpet is 168 square feet.
To find what company A will charge we will multiply the 168 by 2.75 they charge per square foot.

Company A charges, $462, while Company B will charge $450 for the one room.
This means Company B has the better price.