A basketball hoop is 10 1/24 feet high. Mark is 5 11/24 feet tall.
What is the distance from the hoop to the top of Mark's head?

110/24 feet

Step-by-step explanation:

Step one:

Given data

A basketball hoop is 10 1/24 feet high

Mark is 5 11/24 feet tall

Required

The distance from Mark's head to the top of the hoop

Step two:

the solution is the difference between the two heights

=10 1/24 - 5 11/24

let us convert the mixed fraction to simple fraction

=241/24- 131/24

LCM = 24

= 241-131/24

=110/24 feet

good luck!

cutie~

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.