Parallelogram abcd has vertices at a(2,-3), b(8,-6), cl14,-3), and d(8,0) if the following statements are true, what kind of parallelogram is this the lengths of two consecutive sides are equal. the slopes of two consecutive sides are not opposite reciprocals. a) rectangle b) square c)rhombus d) not enough info

The correct option is C.

Step-by-step explanation:

The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).

Distance formula:

The length of sides are

Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.

Slope formula:

Slope of AB is

Slope of BC is

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

i'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.