In Exercises 9 and 10, point D is a point of tangency. 9. Find BD. 10. Point C is also a point of tangency. If BC = 4x + 6, find the value of x to the nearest tenth. A. 5.5 D 10
In Exercises 9 and 10, point D is a point of tangency. 9. Find BD. 10. Point C is also a point of tangency. If BC = 4x + 6, find the value of x to the nearest tenth. A. 5.5 D 10
Mathematics For Machine Technology
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Chapter87: An Introduction To G- And M-codes For Cnc Programming
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![**Geometry Practice Problems**
In Exercises 9 and 10, point D is a point of tangency.
**9.** Find \(BD\).
**10.** Point C is also a point of tangency. If \(BC = 4x + 6\), find the value of \(x\) to the nearest tenth.
---
A diagram is provided below for reference:
- There is a circle with center \(A\) and a radius of 5.5 units.
- A line tangential to point \(D\) on the circle extends outwards, labeled as segment \(BD\).
- Another tangent line touches the circle at point \(C\).
- The tangents \(BD\) and \(BC\) intersect at point \(B\), which is outside the circle.
- The length of \(A\) to \(B\) (noted as \(AB\)) is given as 10 units.
---
**Extra Practice:** p534: 1-26, 29-34
---
**Graph/Diagram Explanation:**
1. **Circle** - There is a circle centered at point \(A\) with a radius of 5.5 units.
2. **Tangents** - Two tangents originate from point \(B\) outside the circle and touch the circle at points \(D\) and \(C\), respectively.
3. **Length \(AB\)** - The distance provided from \(A\) to \(B\) is 10 units.
4. **Equation** - The segment \(BC\) is expressed as \(4x + 6\).
The task requires determining the length of the segment \(BD\) and solving for \(x\) in the equation for \(BC\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4eb6a58c-ea7b-4529-a355-78e6d013d274%2F7acc3782-7a11-486c-b703-d2273f23afb7%2Fg24sbi7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Geometry Practice Problems**
In Exercises 9 and 10, point D is a point of tangency.
**9.** Find \(BD\).
**10.** Point C is also a point of tangency. If \(BC = 4x + 6\), find the value of \(x\) to the nearest tenth.
---
A diagram is provided below for reference:
- There is a circle with center \(A\) and a radius of 5.5 units.
- A line tangential to point \(D\) on the circle extends outwards, labeled as segment \(BD\).
- Another tangent line touches the circle at point \(C\).
- The tangents \(BD\) and \(BC\) intersect at point \(B\), which is outside the circle.
- The length of \(A\) to \(B\) (noted as \(AB\)) is given as 10 units.
---
**Extra Practice:** p534: 1-26, 29-34
---
**Graph/Diagram Explanation:**
1. **Circle** - There is a circle centered at point \(A\) with a radius of 5.5 units.
2. **Tangents** - Two tangents originate from point \(B\) outside the circle and touch the circle at points \(D\) and \(C\), respectively.
3. **Length \(AB\)** - The distance provided from \(A\) to \(B\) is 10 units.
4. **Equation** - The segment \(BC\) is expressed as \(4x + 6\).
The task requires determining the length of the segment \(BD\) and solving for \(x\) in the equation for \(BC\).
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