Chapter 1 supplemental exercises 35 1.69. let a {1, 2, 3) and b = (2, 3, 4). determine the following (a) (a x b)n (b x a) (b) (an b) x (bna) x 1.70. let r= {(1, 1), (2, 1), (3, 2), (3, 3), (4, 2), (4, 3)} be a collection of ordered pairs. find subsets a, b, c, d of the set (1, 2, 3, 4) such that r = ((a x b)u (c x d)) - (d x d). 1.71. for i= 1, 2, 3, let a; = (i, i + 1]. determine u(a x ad 1.72. for a = {1, 2} and b = {3, 4), it follows that p = {a, b} is a partition of the set s = {1,2,3,4). describe a partition of s x s in terms of cartesian products of the sets a and b.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

hope this : )

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