Consider that the length of rectangle a is 10 cm and its width is 6 cm. which rectangle is similar to rectangle a? a) a rectangle with a length of 9 cm and a width of 6 cm. b) a rectangle with a length of 15 cm and a width of 9 cm. c) a rectangle with a length of 14 cm and a width of 7 cm. d) a rectangle with a length of 12 cm and a width of 8 cm.

B) A rectangle with a length of 15 cm and a width of 9 cm

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

Verify each cases

case A) A rectangle with a length of 9 cm and a width of 6 cm

therefore

The rectangle case A) is not similar to rectangle A

case B) A rectangle with a length of 15 cm and a width of 9 cm

therefore

The rectangle case B) is  similar to rectangle A

case C) A rectangle with a length of 14 cm and a width of 7 cm

therefore

The rectangle case C) is not similar to rectangle A

case D) A rectangle with a length of 12 cm and a width of 8 cm

therefore

The rectangle case D) is not similar to rectangle A

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

its c or d   take a lucky guess my dude