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′.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

college

i hope this is what you were looking for.

see attached graph

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional