Uses the properties and mental math to solve. write your answer in simplest form. 2 1/10 + (1 2/7 + 4 9/10)

The answer is:

Since we have mixed numbers, first we need to make it fractions, then we can add/subtract the resultant fractions.

Sum of fractions is not linear, to add/subtract actions we must follow the next steps:

Therefore,

Now, we have all mixed numbers changed to fractions. Then, we need to add the fractions:

Have a nice day!

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.

i believe the answer is 323 ft

step-by-step explanation: