'Write proportion' presentation slideshows

Use the cross products property

Solve the proportion =. 8. 6. 8. 6. 15. x. x. 15. =. 8 15 = x 6. ANSWER. The solution is 20. Check by substituting 20 for x in the original proportion. EXAMPLE 1. Use the cross products property. Write original proportion. Cross products property. 120 = 6 x. Simplify.

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8.4 Similar Triangles

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Warm Up

Solve Proportions Using Cross Products. Warm Up. Lesson Presentation. Lesson Quiz. 21. 28 . 7 . 3. =. 1. =. n. 32. 16 . t . 32 . 4. 11 . 4 . =. 2 . =. 18 . b. p. 12. 24. 12 . Warm-Up. Solve the proportion. 9. 14. ANSWER. ANSWER. 24. ANSWER. 33. ANSWER.

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Use the cross products property

Solve the proportion = . 8. 6. 8. 6. 15. x. x. 15. =. 8 15 = x 6. ANSWER. The solution is 20. Check by substituting 20 for x in the original proportion. EXAMPLE 1. Use the cross products property. Write original proportion. Cross products property. 120 = 6 x. Simplify.

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Use the cross products property

Solve the proportion = . 8. 6. 8. 6. 15. x. x. 15. =. 8 15 = x 6. ANSWER. The solution is 20. Check by substituting 20 for x in the original proportion. EXAMPLE 1. Use the cross products property. Write original proportion. Cross products property. 120 = 6 x. Simplify.

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7.2 Word Problem Proportions

7.2 Word Problem Proportions. Steps:. Read word problem Set up ratio in words Write proportion Cross multiply Solve Write units with answer. Three fourths of the 7 th graders voted in a school election. If 264 7 th graders voted, how many 7 th graders are enrolled?.

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EXAMPLE 5

In the diagram, ? TPR ~ ? XPZ . Find the length of the altitude PS. TR. 12. 3. XZ. 16. 4. 6 + 6. =. =. =. 8 + 8. EXAMPLE 5. Use a scale factor. SOLUTION. First, find the scale factor of ? TPR to ? XPZ. =. 3. PS. 3. 4. 4. PY. PS. =. 20. =. PS. 15.

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EXAMPLE 5

In the diagram, ? TPR ~ ? XPZ . Find the length of the altitude PS. TR. 12. 3. XZ. 16. 4. 6 + 6. =. =. =. 8 + 8. EXAMPLE 5. Use a scale factor. SOLUTION. First, find the scale factor of ? TPR to ? XPZ. =. 3. PS. 3. 4. 4. PY. PS. =. 20. =. PS. 15.

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EXAMPLE 5

In the diagram, ? TPR ~ ? XPZ . Find the length of the altitude PS. TR. 12. 3. XZ. 16. 4. 6 + 6. =. =. =. 8 + 8. EXAMPLE 5. Use a scale factor. SOLUTION. First, find the scale factor of ? TPR to ? XPZ. =. 3. PS. 3. 4. 4. PY. PS. =. 20. =. PS. 15.

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Substitute 17 for a and 25 for b .

a. b. SOLUTION. Write a proportion where 25 is the base and 17 is a part of the base. p. p. 100. 100. =. 17. =. 25. EXAMPLE 1. Find a percent using a proportion. What percent of 25 is 17?. Write proportion. Substitute 17 for a and 25 for b. 17 is 68% of 25.

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EXAMPLE 5

In the diagram, ? TPR ~ ? XPZ . Find the length of the altitude PS. TR. 12. 3. XZ. 16. 4. 6 + 6. =. =. =. 8 + 8. EXAMPLE 5. Use a scale factor. SOLUTION. First, find the scale factor of ? TPR to ? XPZ. =. 3. PS. 3. 4. PY. 4. PS. =. 20. ANSWER. =. PS. 15.

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EXAMPLE 5

In the diagram, ? TPR ~ ? XPZ . Find the length of the altitude PS. TR. 12. 3. XZ. 16. 4. 6 + 6. =. =. =. 8 + 8. EXAMPLE 5. Use a scale factor. SOLUTION. First, find the scale factor of ? TPR to ? XPZ. =. 3. PS. 3. 4. PY. 4. PS. =. 20. ANSWER. =. PS. 15.

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