Solve for $ x $.[Image Description]The image contains a circle with two chords intersecting inside it. The intersection forms two line segments which divide each chord into two parts. The parts of the chords are labeled as follows:- One chord is divided into segments labeled 8 and $ x $.- The other chord is divided into segments labeled 5 and 20.[Detailed Explanation]This diagram represents a classic problem involving intersecting chords in a circle. According to the intersecting chords theorem, when two chords intersect, the products of the lengths of the segments of each chord are equal. That is, if two chords intersect at a point, forming four segments $ a $, $ b $, $ c $, and $ d $, then $ a \times b = c \times d $.In this specific example:- The first chord is divided into segments of length 8 and $ x $.- The second chord is divided into segments of length 5 and 20.The equation according to the intersecting chords theorem is:\[ 8 \times x = 5 \times 20 \]Simplifying the right-hand side:\[ 8x = 100 \]Solving for $ x $:\[ x = \frac{100}{8} \]\[ x = 12.5 \]Answer: $ x $[Answer Input Box]Answer: [____________]Submit Answer

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Description: Solve for $ x $.[Image Description]The image contains a circle with two chords intersecting inside it. The intersection forms two line segments which divide each chord into two parts. The parts of the chords are labeled as follows:- One chord is d

Math

Geometry

20

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Solve for $ x $.

[Image Description]
The image contains a circle with two chords intersecting inside it. The intersection forms two line segments which divide each chord into two parts. The parts of the chords are labeled as follows:
- One chord is divided into segments labeled 8 and $ x $.
- The other chord is divided into segments labeled 5 and 20.

[Detailed Explanation]
This diagram represents a classic problem involving intersecting chords in a circle. According to the intersecting chords theorem, when two chords intersect, the products of the lengths of the segments of each chord are equal. That is, if two chords intersect at a point, forming four segments $ a $, $ b $, $ c $, and $ d $, then $ a \times b = c \times d $.

In this specific example:
- The first chord is divided into segments of length 8 and $ x $.
- The second chord is divided into segments of length 5 and 20.

The equation according to the intersecting chords theorem is:
\[ 8 \times x = 5 \times 20 \]

Simplifying the right-hand side:
\[ 8x = 100 \]

Solving for $ x $:
\[ x = \frac{100}{8} \]
\[ x = 12.5 \]

Answer: $ x $

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Answer: [____________]

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