Which of these sentences is always true for a parallelogram? ОА.
All sides are congruent.
O B.
All angles are congruent.
O C.
The diagonals are congruent.
D.
Opposite angles are congruent.

d

Step-by-step explanation:

when you look at a parallelogram, it could be a rectangle, square, or rhombus. so apply each of these statements to all of these shapes to see if they are true.

a. on a rectangle, not all sides are congruent. cant be that one

b. on a rhombus, not all angles are congruent. cant be that one

c. on a rhombus, the diagonals are not the same length. cant be that one

d. on every parallelogram, the opposite angles are congruent because that is what makes opposite sides parallel

hope this helped :)

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.