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7-1 Ratio and Proportion

7-1 Ratio and Proportion. Answers to Warm Ups 1. 2. 3. 3:20 4. 2:15 5. 2 to 1. Ratio: A comparison of 2 numbers. a:b a to b Must be in same units 12 in = 1 ft 5280 ft = 1 mi 100 cm = 1 m 10 mm = 1 cm 1000 mm = 1 m. Example: Simplify the ratio 2 ft: 30 in. Method 1 * Feet

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7-1 Ratio and Proportion

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  1. 7-1 Ratio and Proportion Answers to Warm Ups 1. 2. 3. 3:20 4. 2:15 5. 2 to 1

  2. Ratio: A comparison of 2 numbers a:b a to b Must be in same units 12 in = 1 ft 5280 ft = 1 mi 100 cm = 1 m 10 mm = 1 cm 1000 mm = 1 m

  3. Example: Simplify the ratio 2 ft: 30 in Method 1 * Feet 2 ft: 2.5 ft 20 : 25 4 : 5 Method 2 * Inches 24 in: 30 in 4 : 5

  4. Try On Own • 1 m: 52 cm • 10 mm: 3.2 cm • 1.25 ft: 3 in Answers: • 25:13 • 5:16 • 5:1

  5. Example: let x = 2 and y = 3 6x2 to 12xy 6(2)2 to 12(2)3 6(4) to 12(6) 24 to 72 4 to 12 1 to 3

  6. Try On Own: x = 2 and y = 3 Answers:

  7. Example: Simplify *Divide Whole Numbers *Subtract Exponents

  8. Try On Own: Simplify Answers: • In Simplest Form

  9. Example The ratio of the angles of a triangle are 4:4:7. Find the measure of each angle. *Usually we reduce by dividing. Now we will work backwards by multiplying 4x + 4x + 7x = 180 15x = 180 x = 12 4x = 4(12) = 48 4x = 4(12) = 48 7x = 7(12) = 84

  10. Try on Own • The ratio of the measures of 2 complementary angles is 1:2. Find the measure of each angle. • The measures of the angles of a pentagon are in the ratio 1:2:3:6:15. Find the measure of each angle. Answers: • 30,60 • 20,40,60,120,300

  11. Homework Pg 243 #1-31

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