Which statement correctly describes the relationship between △def and △d′e′f′ ? △def is congruent to △d′e′f′ because you can map △def to △d′e′f′ using a reflection across the x-axis, which is a rigid motion. △def is congruent to △d′e′f′ because you can map △def to △d′e′f′ using a reflection across the y-axis, which is a rigid motion. △def is congruent to △d′e′f′ because you can map △def to △d′e′f′ using a rotation of 180° about the origin, which is a rigid motion. △def is not congruent to △d′e′f′ because there is no sequence of rigid motions that maps △def to △d′e′f′.

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

what are the statments

step-by-step explanation: