Image is attached Rectangle ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin. What are the coordinates of rectangle A″B″C″D″?
Question 1 options:

A)

A″ (1, –1), B″ (5, 1), C″ (5, –4), D″ (1, –4)

B)

A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)

C)

A″ (5, 1), B″ (1, 1), C″ (1, 4), D″ (5, 4)

D)

A″ (1, 1), B″ (1, 5), C″ (4, 5), D″ (4, 1)

answer: 2530

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step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

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my dear correct answer is option number 3

t= 1/3.

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step-by-step explanation: