Question

Compare. Write $<,>,$ or $=$ $$P Q \quad R S$$

   Compare. Write $<,>,$ or $=$
$$P Q \quad R S$$

Geometry

Edward Burger, David… 1st Edition

Chapter 5, Problem 46

Instant Answer

Solved by Expert Michelle Nguyen

05/27/2020

Step 1

We know that the sum of angles in a triangle is 180 degrees. So, we can find the missing angle S in triangle QRS by subtracting the known angles from 180: \[S = 180 - 75 - 54 = 51 \text{ degrees}\] Show more…

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Compare. Write $<,>,$ or $=$ $$P Q \quad R S$$

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Key Concepts

Comparison Methods

When comparing two rational numbers or fractions, techniques such as converting to a common denominator or using cross multiplication are essential. These methods enable a clear, step-by-step process to determine which value is larger or if they are equivalent, thereby solidifying the concept of order within the set of rational numbers.

Rational Numbers

Rational numbers are numbers that can be expressed as the quotient of two integers, where the denominator is not zero. They represent parts of a whole and include fractions, which require understanding of how numerators and denominators interact to determine the value of the number.

Inequality Symbols

Inequality symbols such as <, >, and = are used to compare values and indicate the relative size of two numbers. They help describe order relations and allow us to express whether one number is less than, greater than, or equal to another, forming a fundamental part of understanding numerical relationships.

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