Joanna recorded the number of laps she swam during practice in one week. freestyle 100 breaststroke 50 backstroke 60 butterfly 25 what is the value of the breaststroke to butterfly ratio? [type your answer as a fraction in simplest form. use / for the fraction bar and no spaces.]

50\25

simplest form 2\1

Step-by-step explanation:

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.

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6