Solve for æ. 8 10

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
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## Solve for \( x \).

Shown in the image is a circle with two intersecting chords. The circle has two chords divided into segments by their intersection point. The lengths of these segments are labeled as follows:

- One chord is divided into segments of 8 and \( x \).
- The other chord is divided into segments of 10 and 5.

To find \( x \), use the property of intersecting chords which states that the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. Hence, the equation is:

\[ 8 \cdot x = 10 \cdot 5. \]

### Enter Your Answer:

[ ] ______

[Submit Answer]
Transcribed Image Text:## Solve for \( x \). Shown in the image is a circle with two intersecting chords. The circle has two chords divided into segments by their intersection point. The lengths of these segments are labeled as follows: - One chord is divided into segments of 8 and \( x \). - The other chord is divided into segments of 10 and 5. To find \( x \), use the property of intersecting chords which states that the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. Hence, the equation is: \[ 8 \cdot x = 10 \cdot 5. \] ### Enter Your Answer: [ ] ______ [Submit Answer]
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