Clara writes the following proof for the theorem: if the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram:

clara's proof

for triangles aob and cod, angle 1 is equal to angle 2, as they are vertical angles.
ao = oc and bo = od because it is given that diagonals bisect each other.
the triangles aob and cod are congruent by sas postulate.
similarly, triangles aod and cob are congruent.
by angle abd is equal to angle cdb and angle adb is equal to angle cbd.
as the alternate interior angles are congruent, the opposite sides of quadrilateral abcd are parallel.
therefore, abcd is a parallelogram.

which is the missing phrase in clara's proof?
cpctc
property of parallelograms
transitive property
vertical angles theorem

the degrees would remain the same ( the number to the left of the decimal point.

the multiply the decimal by 60 to get the minutes and use the numbers to the left of the decimal point.

then multiply the decimal portion of that by 60 for the seconds and round off as needed.

39 .956652

the 39 remains the degrees.

the minutes = 0.956652 x 60 = 57.39912

the minutes = 57

the seconds = 0.39912 x 60 = 23.95 = 24 ( rounded to nearest tenth)

so 39.956652 = 39 degrees, 57 minutes and 24 seconds

-75.159809

the -75 remains the degrees

the minutes = 0.159809 x 60 = 9.58854

the minutes = 9

the seconds = 0.58854 x 60 = 35.31, rounded to nearest tenth = 35.3 seconds

so -75.159809 = -75 degrees, 9 minutes and 35.3 seconds.

the first coordinate is north or south, since it it positive it is north.

the second number is east or west, because it is negative it is west.

39 degrees, 57 minutes and 24 seconds n

-75 degrees, 9 minutes and 35.3 seconds w

12 cups   is the answer

step-by-step explanation:

answer: c

step-by-step explanation