Which statements describe a parallelogram that must be a rhombus?
select each correct answer.
1.parallelogram with congruent diagonals
2.parallelogram with a right angle
3.parallelogram with perpendicular diagonals
4.parallelogram with opposite sides congruent
5.parallelogram with a pair of congruent consecutive sides

3 and 5.

Step-by-step explanation:

A parallelogram which is a rhombus has perpendicular diagonals.

Also a parallelogram which is a rhombus has a pair of congruent consecutive sides.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1