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 12 options:

A)

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

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″ (5, 1), C″ (5, –4), D″ (1, –4)

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

Seymour is twice as old as cassandra. if 16 is added to cassandra’s age and 16 is subtracted from seymour’s age, their ages become equal. what are their present ages? show !