Question

Find the value of x for which ABCD must be a parallelogram.

Answer 1

Answer:

$x = \frac{5}{3}$

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:

$\mathbf{x = \frac{5}{3}}$