1. two pieces of equipment were purchased for a total of $4000. if one piece cost $850 more fean
the other, find the price of the less expensive piece of equipment. assume all data ze 2002
to two significant agits unless grezier 20curacy is given

$1,575

Step-by-step explanation:

x = the cost of the less expensive piece of equipment

x+850 = the cost of the more expensive piece of equipment

x + (x+850) = 4,000 the.     two pieces together cost 4,000, so I added up the cost of the less expensive piece and the more expensive piece, and equaled it to 4,000

solve the equation:

x + (x+850) = 4,000

2x+850=4,000

2x=3,150

÷2

x=1,575

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

step-by-step explanation:

goog be able to you with that maybe