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? (1 point)

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So $KM = 2\times NM$.

Step2: Set up the equation

We have $5x + 1=2(2x + 9)$.

Step3: Expand the right - hand side

$5x + 1 = 4x+18$.

Step4: Solve for x

Subtract $4x$ from both sides: $5x-4x+1=4x - 4x+18$, which gives $x+1 = 18$. Then subtract 1 from both sides: $x=18 - 1$. So $x = 17$.

Answer:

17