Find the value of x in the f 1. 6. 12 8. 1)x =

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
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**Find the value of x in the following circles:**

### Diagrams:

1. **Diagram for Problem 4:**
   - A right triangle is inscribed in a circle.
   - The hypotenuse is labeled as 8 units.
   - One leg is labeled as x and the other leg is labeled as 12 units.

2. **Diagram for Problem 5:**
   - A right triangle is inscribed in a circle.
   - The hypotenuse is labeled as 9 units.
   - One leg is labeled as 4 units and the other leg is labeled as x units.

3. **Diagram for Problem 6:**
   - A circle is divided by two perpendicular chords.
   - One segment of a chord is labeled as 2, the adjacent segment is labeled as x, and the entire chord's segments are labeled as x + 1 and 6.

### Problems:

4) \( x = \) [Blank for the student to fill]

5) \( x = \) [Blank for the student to fill]

6) \( x = \) [Blank for the student to fill]
Transcribed Image Text:**Find the value of x in the following circles:** ### Diagrams: 1. **Diagram for Problem 4:** - A right triangle is inscribed in a circle. - The hypotenuse is labeled as 8 units. - One leg is labeled as x and the other leg is labeled as 12 units. 2. **Diagram for Problem 5:** - A right triangle is inscribed in a circle. - The hypotenuse is labeled as 9 units. - One leg is labeled as 4 units and the other leg is labeled as x units. 3. **Diagram for Problem 6:** - A circle is divided by two perpendicular chords. - One segment of a chord is labeled as 2, the adjacent segment is labeled as x, and the entire chord's segments are labeled as x + 1 and 6. ### Problems: 4) \( x = \) [Blank for the student to fill] 5) \( x = \) [Blank for the student to fill] 6) \( x = \) [Blank for the student to fill]
**Find the value of x in the following circles:**

1. Circle with two intersecting chords:
   - The first chord is split into segments measuring 6 and x.
   - The second chord is split into segments measuring 12 and 8.

2. Circle with a tangent and a secant:
   - The tangent segment measures 3.
   - The secant is divided into two parts, with the external part measuring 5 and the internal segment labeled x.

3. Circle with two secants from a point outside the circle:
   - One secant is divided into segments measuring 2 (external) and 4 (internal).
   - The other secant's internal segment is labeled x.

**Solutions:**

1) \( x = \) 
2) \( x = \) 
3) \( x = \)
Transcribed Image Text:**Find the value of x in the following circles:** 1. Circle with two intersecting chords: - The first chord is split into segments measuring 6 and x. - The second chord is split into segments measuring 12 and 8. 2. Circle with a tangent and a secant: - The tangent segment measures 3. - The secant is divided into two parts, with the external part measuring 5 and the internal segment labeled x. 3. Circle with two secants from a point outside the circle: - One secant is divided into segments measuring 2 (external) and 4 (internal). - The other secant's internal segment is labeled x. **Solutions:** 1) \( x = \) 2) \( x = \) 3) \( x = \)
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