13+8me ! due today ! complete the coordinate proof of the theorem. enter your answers in the boxes. the coordinates of parallelogram abcd are a(0, 0) , b(a, 0) , and d(c, b) . the coordinates of the midpoint of ac¯¯¯¯¯ are (, b2 ). the coordinates of the midpoint of bd¯¯¯¯¯ are ( a+c2 , ). the midpoints of the diagonals have the same coordinates. therefore, ac¯¯¯¯¯ and bd¯¯¯¯¯ bisect each other.

Step-by-step explanation:

1). Coordinates of point C will be

x - coordinates = [Distance of B from the origin + Distance of D from y axis]

                         = (a + c)

y - coordinates = (Distance of D from x - axis)

                         = b

Therefore, coordinates of C will be [(a + c), b]

2). Coordinates of the midpoint of AC =

=

[Since coordinates of the midpoint of (x, y) and (x', y') are denoted by ()]

3). Coordinates of the midpoint of BD =  

=

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.