Question

In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and
OP = (2x – 1) m.

Parallelogram L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P.

What are the values of x and y?

Answer 1

Answer:

x=11,  y=2

Step-by-step explanation:

MP=OP

2x-1=21

x=11

LP=NP

y+3=3y-1

y=2

Answer 2

The value of x is 11 and y is 2.

What are the 4 properties of a parallelogram?

Properties of parallelograms

• Opposite sides are congruent.
• Opposite angles are congruent.
• Consecutive angles are supplementary.
• If one angle is right, then all angles are right.
• The diagonals of a parallelogram bisect each other.

Opposite sides of a parallelogram are congruent.

MP=OP

$2x-1=21\\x=11$

LP=NP

$y+3=3y-1\\y=2$

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