Add the opposite number of 1 1/5 to the sum of the numbers (−8 3/4 ) and (−2 5/6 ).

  -12 47/60

Step-by-step explanation:

-(1 1/5) + (-8 3/4 -2 5/6) = -(1 + 8 + 2 + 1/5 + 3/4 + 5/6)

= -(11 + 12/60 +45/60 +50/60) . . . 60 is the LCD of 1/5, 3/4, 5/6

= -(11 + 107/60) . . . . . . . . . . . . . . . . add the fractions

= -(12 47/60) = -12 47/60 . . . . . . . write as a mixed number

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Your graphing calculator may be able to do this for you. Many handle mixed numbers with ease.

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.

christopher is 272,195 year old

step-by-step explanation: