Each of the following statements describes a quadrilateral. which of the quadrilaterals are not parallelograms? (pick 3) quadrilateral 1: the diagonals are congruent, but the quadrilateral has no right angles. quadrilateral 2: two consecutive sides are congruent, but the figure is not a rhombus. quadrilateral 3: each diagonal is 3 cm long, and two opposite sides are 2 cm long. quadrilateral 4: two opposite angles are right angles, but the quadrilateral is not a rectangle. quadrilateral 5: one diagonal is a perpendicular bisector of the other.

Quadrilaterals 1, 2 and 4 does not represents a parallelogram.

Step-by-step explanation:

We know that, a parallelogram is a simple quadrilateral that have two opposite sides congruent.

Now, according to the options:

1. A parallelogram does not have congruent diagonals without having right angles.

2. A parallelogram does not have consecutive sides equal without being a rhombus.

3. A rectangle is a parallelogram which have both the diagonals of equal length. So, this quadrilateral might represents a rectangle, which is a parallelogram.

4. No two opposite angles of a parallelogram are right angles without the quadrilateral being a rectangle.

5. A rhombus is a parallelogram which have both the diagonals bisecting each other perpendicularly. So, this quadrilateral might represents a rhombus, which is a parallelogram.

Hence, we see that options 1, 2 and 4 does not represents a parallelogram.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.