Question

1. solve for x.

parallelogram r s t q with r s = 15 and q t = 3x - 6

Explanation:

Step1: Set equal parallel sides

In a parallelogram, opposite sides are congruent, so $3x - 6 = 15$.

Step2: Isolate the term with x

Add 6 to both sides: $3x = 15 + 6$
$3x = 21$

Step3: Solve for x

Divide both sides by 3: $x = \frac{21}{3}$

Answer:

$x = 7$