The minimum number of rigid transformations required to show that polygon abcde is congruent to polygon fghij is .

a must be used to make the two polygons coincide.

a sequence of transformations of polygon abcde such that abcde does not coincide with polygon fghij is .

ABCDE were translated 3 units up and reflected through the y-axis.

Step-by-step explanation:

Given : graph.

TO find : The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is .  

A must be used to make the two polygons coincide.  

A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is .

Solution :

Rotating ABCDE 90° counterclockwise about the point (7, 0) will result in figure FGHIJ. This means it takes only 1 transformation, and it is a rotation.

If ABCDE were translated 3 units up and reflected through the y-axis, the image would not be rotated the way that it is in FGHIJ. Thus they would not coincide.

Therefore, ABCDE were translated 3 units up and reflected through the y-axis.

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

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