Refer to parallelogram abcd to answer to the following questions. multiple choice.

Option d. is correct

Step-by-step explanation:

Parallelogram is a polygon with the following properties:

1. In parallelogram, opposite sides are equal

2. In parallelogram, opposite sides are parallel.

3.  In parallelogram, opposite angles are equal.

4.  In parallelogram, diagonals bisect each other.

Now, in this question, we need to choose one of the given options.

In parallelogram, diagonals are not always equal.

Rectangle and square are parallelograms in which diagonals are equal.

Rhombus is also a parallelogram but it's diagonals are not equal.

Therefore, we can say that in parallelogram, diagonals are not necessarily  congruent .

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .