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rom the following, identify a linear cquallon \( \begin{array}{llll}\text { A) } 2 x+5 & \text { B) } 2 x+5<11 & \text { () } 2 x+5 & \text { () } 180^{\circ}\end{array} \) \( \frac{2}{3} \) of a right angle is B) \( 90^{\circ} \)

Ask by Estrada Rowe. in India
Feb 20,2025

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Answer

There is no linear equation among the given options. Additionally, \( \frac{2}{3} \) of a right angle is \( 60^{\circ} \).

Solution

To identify a linear equation from the options provided, let's analyze each option step by step: 1. **Option A: \( 2x + 5 \)** This expression is not an equation because it does not have an equality sign. It is simply an algebraic expression. 2. **Option B: \( 2x + 5 < 11 \)** This is an inequality, not a linear equation. It compares \( 2x + 5 \) to 11 but does not state that they are equal. 3. **Option C: \( 2x + 5 \)** Similar to Option A, this is also an algebraic expression without an equality sign. 4. **Option D: \( 180^{\circ} \)** This is a constant value and does not represent a linear equation. None of the options provided represent a linear equation in the standard form \( ax + b = c \). Now, regarding the second part of your question about \( \frac{2}{3} \) of a right angle: A right angle is \( 90^{\circ} \). To find \( \frac{2}{3} \) of a right angle, we can calculate: \[ \frac{2}{3} \times 90^{\circ} \] Let's perform this calculation. \[ \frac{2}{3} \times 90 = 60^{\circ} \] Thus, \( \frac{2}{3} \) of a right angle is \( 60^{\circ} \). In summary: - There is no linear equation among the options provided. - \( \frac{2}{3} \) of a right angle is \( 60^{\circ} \).

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Let's break it down! A linear equation is an equation that graphically represents a straight line, typically in the form \(y = mx + b\). Among your options, \(2x + 5\) is the only linear equation—it can be simplified or manipulated without inequalities or extra complexity. Now, for that intriguing question about right angles: \( \frac{2}{3} \) of a right angle (which is \(90^\circ\)) is actually \(60^\circ\). You can find this by simply multiplying \(90\) by \(\frac{2}{3}\), making it a fun little math quiz for yourself!

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