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 .

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

13664

step-by-step explanation:

=cross multiply

=100 x = 13664