Question

using the parallelogram diagonal theorem
what is the length of segment eb in parallelogram abcd?
$2x + 9$
$3x - 21$
30 units
34.5 units
69 units
138 units

Explanation:

Step1: Set segments equal (bisect theorem)

$2x + 9 = 3x - 21$

Step2: Solve for x

$9 + 21 = 3x - 2x$
$x = 30$

Step3: Substitute x into EB's expression

$EB = 3(30) - 21$

Answer:

69 units