Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Problem Description
You are given a quadrilateral with angles labeled as follows:
- Angle \(a\)
- Angle \(b\)
- Angle \(c\)
- Angle \(d\)
### Given Information
- Angle \(c\) measures \(2x\) degrees.
- Angle \(d\) is 164 degrees.
### Task
Calculate the value of \(x\).
### Solution
1. **Understanding the Problem:**
- The sum of the interior angles of a quadrilateral is always 360 degrees.
2. **Setup the Equation:**
- Let's denote the measure of angle \(a\) as \(A\) and angle \(b\) as \(B\).
- We have:
\[
A + B + 2x + 164 = 360
\]
3. **Simplify the Equation:**
\[
A + B + 2x = 196
\]
4. **Solve for \(x\):**
- To find \(x\), we need additional information about angles \(a\) and \(b\) or assume specific values.
Please fill in the required details or assumptions to compute \(x\). If additional information about angles \(a\) or \(b\) is provided, you can proceed to solve for \(x\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2621837b-5b5c-4836-8f72-939f4b0a42ce%2F73723505-c4cb-48c4-adfe-6be60a65a31f%2F7yuixpm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description
You are given a quadrilateral with angles labeled as follows:
- Angle \(a\)
- Angle \(b\)
- Angle \(c\)
- Angle \(d\)
### Given Information
- Angle \(c\) measures \(2x\) degrees.
- Angle \(d\) is 164 degrees.
### Task
Calculate the value of \(x\).
### Solution
1. **Understanding the Problem:**
- The sum of the interior angles of a quadrilateral is always 360 degrees.
2. **Setup the Equation:**
- Let's denote the measure of angle \(a\) as \(A\) and angle \(b\) as \(B\).
- We have:
\[
A + B + 2x + 164 = 360
\]
3. **Simplify the Equation:**
\[
A + B + 2x = 196
\]
4. **Solve for \(x\):**
- To find \(x\), we need additional information about angles \(a\) and \(b\) or assume specific values.
Please fill in the required details or assumptions to compute \(x\). If additional information about angles \(a\) or \(b\) is provided, you can proceed to solve for \(x\).
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