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Aneli [31]
3 years ago
9

Parallelogram JKLM is shown on the coordinate plane below:

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0
A 270° counterclockwise rotation leads to this transformation:

(x,y) → (y, - x)

So, we have

original point        new point

J (-6,2)           →     J' (2,6)

K (-4,6)          →     K' (6,4)

L (-3,3)          →      L' (3,3)

M (-5,-1)        →      M' (-1,5)

So, you have the points J', K', L', and M' that define the new parallelogram.

Answer: The coordinates of the endpoints of the side congruent to side KL are the coordinates of K' and L' which are (6,4) and (3,3).



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alexira [117]

Answer:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

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Step-by-step explanation:

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4 years ago
Is anyone good with this? I need help finding the answer.
SCORPION-xisa [38]

Answer:

perpendicular:

x - 5y = 32

parallel:

5x + y = 30

Step-by-step explanation:

original line:

y = -5x + 5

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m = -5/1 = -5

perpendicular:

m = 1/5

L: x - 5y = k

(7, -5) -> L

7 - 5 * (-5) = k

=> 7 + 25 = 32 = k

L: x - 5y = 32

parallel:

m = -5

L: 5x + y = k

(7, -5) -> L

35 - 5 = 30 = k

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4 years ago
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Fofino [41]

Answer:

x = 25

Step-by-step explanation:

2/5x - 1 = 9

Add 1 to both sides

2/5x = 10

Multiply by 5 on both sides

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Divide by 2 on both sides

x = 25

Check the answer:

Plug in 25 for x

2/5(25) - 1 = 9

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The answer is correct.

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