Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Confidence Intervals
When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…
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**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:** \[ x = 5.4 \]
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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:** \[ x = 5.4 \]
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