HW4 (1) (15 points) A decision-maker has made the following pair-wise comparison matrix of 4 factors that is not sufficiently consistent. Use the rank order of the confidence for the 6 off-diagonal pairwise comparisons given at the side of the matrix to make the matrix totally consistent. A B C D BvC (highest confidence) A 1 2 3 4 AvD B 1 1/3 1/5 AvC C 1 3 CvD D 1 BvD AvB (lowest confidence) You need to show only the final totally consistent matrix. (2) (5 points) What are the values of the largest eigenvalue and the consistency index

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

i don't see any

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.