Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![**Problem 2: Solving for y in a Geometry Context**
In this problem, we are given a geometric shape with expressions for its two diagonals. The shape is a parallelogram, and the diagonals intersect at a point.
### Diagram Explanation
- The parallelogram has two diagonals, which are represented by dashed lines that intersect.
- One diagonal is labeled with the expression \(3y - 9\).
- The other diagonal is labeled with the expression \(y + 12\).
### Task
Solve for the variable \(y\) using the properties of the diagonals in a parallelogram. In a parallelogram, the diagonals bisect each other, meaning the expressions for each half of the diagonals are equal.
### Solution Box
The solution to the value of \(y\) is to be entered in the box provided below the diagram.
\[ y = \_\_\_ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32938eb2-0232-4c4a-91f5-dc3a44eec016%2F1e5063c7-35f3-47d1-ad8d-ce68c1759852%2Feji7d5b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 2: Solving for y in a Geometry Context**
In this problem, we are given a geometric shape with expressions for its two diagonals. The shape is a parallelogram, and the diagonals intersect at a point.
### Diagram Explanation
- The parallelogram has two diagonals, which are represented by dashed lines that intersect.
- One diagonal is labeled with the expression \(3y - 9\).
- The other diagonal is labeled with the expression \(y + 12\).
### Task
Solve for the variable \(y\) using the properties of the diagonals in a parallelogram. In a parallelogram, the diagonals bisect each other, meaning the expressions for each half of the diagonals are equal.
### Solution Box
The solution to the value of \(y\) is to be entered in the box provided below the diagram.
\[ y = \_\_\_ \]
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