-5.857 +3.721 using your graphing calculator. Round your final answer Solve -7.526x + 5.622 = to three decimal places. %3D
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
![**Problem Statement:**
Solve the equation:
\[
-7.526x + 5.622 = -5.857x + 3.721
\]
Use your graphing calculator for accuracy. Round your final answer to three decimal places.
**Solution:**
1. **Rearrange the Equation:**
Combine like terms to bring all terms involving \(x\) to one side of the equation:
\[
-7.526x + 5.857x = 3.721 - 5.622
\]
2. **Simplify Both Sides:**
Simplify the left side:
\[
(-7.526 + 5.857)x = (3.721 - 5.622)
\]
This becomes:
\[
-1.669x = -1.901
\]
3. **Solve for \(x\):**
Divide both sides by \(-1.669\) to find \(x\):
\[
x = \frac{-1.901}{-1.669}
\]
4. **Use a Graphing Calculator:**
Input the simplified equation into a graphing calculator to find the precise value of \(x\).
5. **Round the Answer:**
Once you have the calculated result, round it to three decimal places.
**Final Answer:**
\[
x = \boxed{1.139} \]
**Note:** Ensure to use a calculator for accurate results and follow these steps to practice solving linear equations systematically.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0d79c4c-40ce-427b-b4a0-26ffd9f423cd%2Fb26544a2-e732-4e5d-98e8-beb55da1b4d9%2Fh8ygr2a_processed.jpeg&w=3840&q=75)
The given expression .
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