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
![**What is the value of x?**
Here, we have a circle with two intersecting chords. One chord is divided into two segments that measure 10 and x units. The other chord is divided into two segments that measure 6 and 9 units.
The problem can be solved using the intersecting chords theorem, which states that the products of the segments of one chord are equal to the products of the segments of the other chord.
Therefore:
\[ 10 \cdot x = 6 \cdot 9 \]
\[ 10x = 54 \]
\[ x = \frac{54}{10} \]
\[ x = 5.4 \]
**Answer:**
\[ x = 5.4 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc32fdead-cf8a-44ab-a7f8-9f10e201d4c1%2Fa5895442-e567-4c8a-98f8-5f1ea30c426b%2Ft0jls5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**What is the value of x?**
Here, we have a circle with two intersecting chords. One chord is divided into two segments that measure 10 and x units. The other chord is divided into two segments that measure 6 and 9 units.
The problem can be solved using the intersecting chords theorem, which states that the products of the segments of one chord are equal to the products of the segments of the other chord.
Therefore:
\[ 10 \cdot x = 6 \cdot 9 \]
\[ 10x = 54 \]
\[ x = \frac{54}{10} \]
\[ x = 5.4 \]
**Answer:**
\[ x = 5.4 \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning