Find the value of x for which ABCD must be a parallelogram. If your answer is not a whole number, write your answer in fractional form as a/b.

Step-by-step explanation:

Parallelogram

It's a quadrilateral formed by two pairs of parallel sides. The opposite sides have equal lengths.

We are given a parallelogram with opposite sides of 3x+1 and 6x-4. They must be equal, thus:

6x - 4 = 3x + 1

Subtracting 3x:

3x - 4 = 1

Adding 4:

3x = 5

Dividing by 3:

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq