Q11. An investor has 30,000 that he wants to invest in bank deposits, equity shares and unit trust. In view of the risk involved in buying equity shares, he wants to invest an amount in equity shares equal to 20% of his total investments in bank deposits and unit trust. Because of certain tax exemptions available to him, he would also like to maintain a 3:2 ration between investments in bank deposits and unit trust. Determine the amount he would invest in each of the three forms of investments, using matrix inversion method.​

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 your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.