Question

In parallelogram JKLM
, diagonals KM
and JL
meet at point N
. The length of KM
is equal to 5x+1
units. The length of NM
is equal to 2x+9
units. What is the value of x?

Answer 1

Since KM and NM are diagonals of parallelogram JKLM, they divide each other into two equal parts. Therefore, we have:

5x + 1 = 2(2x + 9)

Simplifying the equation:

5x + 1 = 4x + 18

Subtracting 4x from both sides:

x + 1 = 18

Subtracting 1 from both sides:

x = 17