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Ilya [14]
2 years ago
8

Quadrilateral LMNO has diagonals that intersect at point P. If LP=NP, MP = y + 25, and OP = 5y + 29, find the length of MO such

that LMNO is a parallelogram.. . A.24. B.48. C.61. D.122
Mathematics
2 answers:
salantis [7]2 years ago
8 0
The right  answer will be  c.61 that is your answer
Zina [86]2 years ago
8 0

Answer:

The correct option is B.

Step-by-step explanation:

Given information: LMNO is a parallelogram, LMNO has diagonals that intersect at point P, LP=NP, MP = y + 25, and OP = 5y + 29.

Diagonals of parallelogram bisects each other.

Since P is the intersection point of diagonal and MO is a diagonal, so

MP=OP

y+25=5y+29

Subtract y from both the sides.

y+25-y=5y+29-y

25=4y+29

Subtract 29 from both the sides.

25-29=4y+29-29

-4=4y

Divide both sides by 4.

-1=y

The value of y is -1.

The length of MO is

MO=MP+OP

MO=y+25+5y+29

MO=6y+54

Substitute y=-1 in the above equation.

MO=6(-1)+54

MO=-6+54

MO=48

The length of MO is 48. Therefore the correct option is B.

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