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7.1 Ratios and Proportions

7.1 Ratios and Proportions. Definition. A Ratio is a comparison of two quantities by division. Usually a and b are in the same units and the ratio is expressed in simplest form. Example.

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7.1 Ratios and Proportions

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  1. 7.1 Ratios and Proportions

  2. Definition • A Ratio is a comparison of two quantities by division. • Usually a and b are in the same units and the ratio is expressed in simplest form.

  3. Example • A building is 20 yds tall and a person going through the front door is 5 ft, 4 inches tall. What is the ratio of the height of the building to the height of the person?

  4. Definition • An Extended Ratio is a comparison of three or more numbers. • When using an extended ratio if there are no variables already in place, then put some in yourself.

  5. Example • The angles in a triangle are in an extended ratio of , what is the measure of the largest angle?

  6. Definition • A Proportion is an equation that states that two ratios are equal. • The Cross Products Property says: extremes extremes means means

  7. Example • Solve for x in the following proportions.

  8. 3 Properties of Proportions • In the following proportions a, b, c, and d do not equal zero. 1. 2. 3. is equivalent to is equivalent to is equivalent to

  9. Example • Solve for the equivalent proportion. If If Then Then

  10. Homework • P. 436 #’s 9-32, 38, 40-44, 49-54, 61-65

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