Question

1. look at the figure, ▱jklm. find the length of $overline{jk}$. 14 + 2x 5x - 1 64 48 58 24

Explanation:

Step1: Use property of parallelogram

In parallelogram $JKLM$, opposite - sides are equal. So, $JK = ML$. Set up the equation $14 + 2x=5x - 1$.

Step2: Solve the equation for $x$

Subtract $2x$ from both sides: $14=5x - 1-2x$, which simplifies to $14 = 3x-1$. Then add 1 to both sides: $14 + 1=3x$, so $15 = 3x$. Divide both sides by 3: $x = 5$.

Step3: Find the length of $JK$

Substitute $x = 5$ into the expression for $JK$. $JK=14 + 2x$. So, $JK=14+2\times5=14 + 10=24$.

Answer:

24