1) In a yoga class, 75% of the students are women. There are 24 women in the class. How many students are in the class? A. 18
B. 30
C. 32
D. 42
-
2) It is Attached below:

For the first question: C. 32

For the second question: D. 15

Step-by-step explanation:

If 75% of the students are women, and there's 24 women, first you would have to divide 24 by 3. This equals 8. So, add 8 to 24 because 8 is 1/4th of the yoga class. 8 + 24 = 32.

If you mark all of the coordinates and draw lines to make a rectangle, then count all the units until the end of the line, the longer sides are 15 units and the shorter sides are 11 units.

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.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680