Due to a reduction in orders the workforce at a factory was reduced by 12% what fraction is this?

Hi there! Hopefully this helps!

12/100 is the fraction. (Although it is not reduced to lowest terms. At lowest terms it would be 3/25)

How I solved it:

Convert the percentage to a fraction by placing the expression over 100. Percentage means 'out of  100'.

3/25

Step-by-step explanation:

12/100

Simplify this:

3/25

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.

fwms@lil_ben06

step-by-step explanation: