please help ### Geometry Question: Solving for Variables in a Parallelogram#### Problem Statement:**22. Find the value of each variable in the parallelogram.**The given parallelogram is labeled with side lengths and variables:- One side is labeled \( p \)- The opposite side is labeled \( 6 \)- An adjacent side is labeled \( 5 \)- The opposite adjacent side is labeled \( q - 3 \)#### Diagram:A parallelogram with the sides and variables marked as follows:- The left side is labeled \( p \)- The top side is labeled \( 6 \)- The right side is labeled \( 5 \)- The bottom side is labeled \( q - 3 \)#### Possible Answers:1. \( p = 5 \) and \( q = 6 \)2. \( p = 6 \) and \( q = 5 \)3. \( p = 5 \) and \( q = 9 \)4. \( p = 9 \) and \( q = 5 \)#### Solution Strategy:In a parallelogram, opposite sides are equal in length. Therefore:- \( p \) is equal to the opposite side labeled \( 5 \)- \( q - 3 \) is equal to the opposite side labeled \( 6 \)Set up the equations based on these relationships:1. \( p = 5 \)2. \( q - 3 = 6 \)Solve for \( q \):\[ q - 3 = 6 \]\[ q = 6 + 3 \]\[ q = 9 \]Thus, the correct answer is:- \( p = 5 \)- \( q = 9 \)Therefore, the third answer choice is correct:\[ p = 5 \text{ and } q = 9 \]

Name: please help ### Geometry Question: Solving for Variables in a Parallel
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: please help ### Geometry Question: Solving for Variables in a Parallelogram#### Problem Statement:**22. Find the value of each variable in the parallelogram.**The given parallelogram is labeled with side lengths and variables:- One side is labeled \(