Question

if hk = 3t - 1 and jk = t + 9, find jk in parallelogram ghij. jk = r submit

Explanation:

Step1: Set segments equal (diag bisect)

In a parallelogram, diagonals bisect each other, so $HK = JK$.
$3t - 1 = t + 9$

Step2: Solve for t

Subtract $t$ and add 1 to both sides.
$3t - t = 9 + 1$
$2t = 10$
$t = \frac{10}{2} = 5$

Step3: Calculate JK

Substitute $t=5$ into $JK = t + 9$.
$JK = 5 + 9$

Answer:

14