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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 3

Unit Rates and Percentages

Lesson 13: Benchmark Percentages

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Math Example--Percents-- Equations with Percents: Example 31 Math Example--Percents--Equations with Percents: Example 31 Math Example--Percents--Equations with Percents: Example 31

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "4 is 0.1% of what number?" The solution involves setting up the equation 4 = 0.001 * x, then solving for x to get x = 4 / 0.001, which equals 4000. This example demonstrates how to calculate the whole when given a very small percentage of it, resulting in a much larger number.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 32 Math Example--Percents--Equations with Percents: Example 32 Math Example--Percents--Equations with Percents: Example 32

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "7 is 1% of what number?" The solution involves setting up the equation 7 = 0.01 * x, then solving for x to get x = 7 / 0.01, which equals 700. This example introduces a scenario where we need to find the whole when given a small percentage of it, resulting in a number 100 times larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 33 Math Example--Percents--Equations with Percents: Example 33 Math Example--Percents--Equations with Percents: Example 33

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "9 is 30% of what number?" The solution involves setting up the equation 9 = 0.3 * x, then solving for x to get x = 9 / 0.3, which equals 30. This example demonstrates how to calculate the whole when given a larger percentage of it, resulting in a number that is only slightly larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 34 Math Example--Percents--Equations with Percents: Example 34 Math Example--Percents--Equations with Percents: Example 34

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "1 is 400% of what number?" The solution involves setting up the equation 1 = 4.0 * x, then solving for x to get x = 1 / 4, which equals 0.25. This example introduces a scenario where we need to find a number that, when increased by 400%, results in 1, leading to a fraction or decimal less than 1.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 35 Math Example--Percents--Equations with Percents: Example 35 Math Example--Percents--Equations with Percents: Example 35

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "15 is 0.25% of what number?" The solution involves setting up the equation 15 = 0.0025 * x, then solving for x to get x = 15 / 0.0025, which equals 6000. This example introduces a scenario where we need to find the whole when given a very small percentage of it, resulting in a number that is significantly larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 36 Math Example--Percents--Equations with Percents: Example 36 Math Example--Percents--Equations with Percents: Example 36

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "30 is 5% of what number?" The solution involves setting up the equation 30 = 0.05 * x, then solving for x to get x = 30 / 0.05, which equals 600. This example demonstrates how to calculate the whole when given a small percentage of it, resulting in a much larger number.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 37 Math Example--Percents--Equations with Percents: Example 37 Math Example--Percents--Equations with Percents: Example 37

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "50 is 80% of what number?" The solution involves setting up the equation 50 = 0.8 * x, then solving for x to get x = 50 / 0.8, which equals 62.5. This example introduces a scenario where we need to find the whole when given a large percentage of it, resulting in a number that is only slightly larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 38 Math Example--Percents--Equations with Percents: Example 38 Math Example--Percents--Equations with Percents: Example 38

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "78 is 150% of what number?" The solution involves setting up the equation 78 = 1.5 * x, then solving for x to get x = 78 / 1.5, which equals 52. This example demonstrates how to calculate the original value when given a percentage greater than 100%, resulting in a number that is smaller than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 39 Math Example--Percents--Equations with Percents: Example 39 Math Example--Percents--Equations with Percents: Example 39

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "150 is 0.2% of what number?" The solution involves setting up the equation 150 = 0.002 * x, then solving for x to get x = 150 / 0.002, which equals 75,000. This example introduces a scenario where we need to find the whole when given a very small percentage of it, resulting in a number that is significantly larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 4 Math Example--Percents--Equations with Percents: Example 4 Math Example--Percents--Equations with Percents: Example 4

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 6.5% of 45.5?" The solution involves converting 6.5% to its decimal equivalent, 0.065, and then multiplying it by 45.5 to obtain the result of 2.9575. This example introduces both a decimal percentage and a decimal base number, adding complexity to the calculation.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 40 Math Example--Percents--Equations with Percents: Example 40 Math Example--Percents--Equations with Percents: Example 40

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "225 is 3% of what number?" The solution involves setting up the equation 225 = 0.03 * x, then solving for x to get x = 225 / 0.03, which equals 7,500. This example demonstrates how to calculate the whole when given a small percentage of it, resulting in a number that is significantly larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 41 Math Example--Percents--Equations with Percents: Example 41 Math Example--Percents--Equations with Percents: Example 41

Topic

Solving Equations

Description

This math example focuses on solving percent equations by asking "400 is 40% of what number?" The solution involves setting up the equation 400 = 0.4 * x, then solving for x to get x = 400 / 0.4, which equals 1000. This example demonstrates how to calculate the whole when given a significant percentage of it, resulting in a number that is larger than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 42 Math Example--Percents--Equations with Percents: Example 42 Math Example--Percents--Equations with Percents: Example 42

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "650 is 130% of what number?" The solution involves setting up the equation 650 = 1.3 * x, then solving for x to get x = 650 / 1.3, which equals 500. This example introduces a scenario where we need to find the original value when given a percentage greater than 100%, resulting in a number that is smaller than the given value.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 5 Math Example--Percents--Equations with Percents: Example 5 Math Example--Percents--Equations with Percents: Example 5

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 30% of 9?" The solution involves converting 30% to its decimal form, 0.3, and then multiplying it by 9 to get the result of 2.7. This example introduces a larger percentage, demonstrating how the method applies consistently across various percentage values.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 6 Math Example--Percents--Equations with Percents: Example 6 Math Example--Percents--Equations with Percents: Example 6

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 28% of 7.2?" The solution involves converting 28% to its decimal equivalent, 0.28, and then multiplying it by 7.2 to obtain the result of 2.016. This example combines a whole number percentage with a decimal base number, further illustrating the versatility of the percent-to-decimal conversion method.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 7 Math Example--Percents--Equations with Percents: Example 7 Math Example--Percents--Equations with Percents: Example 7

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 45% of 68?" The solution involves converting 45% to its decimal form, 0.45, and then multiplying it by 68 to arrive at the answer of 30.6. This example introduces a larger percentage and a larger whole number as the base value, demonstrating the scalability of the percent-to-decimal conversion method.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 8 Math Example--Percents--Equations with Percents: Example 8 Math Example--Percents--Equations with Percents: Example 8

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 52.3% of 36.9?" The solution involves converting 52.3% to its decimal equivalent, 0.523, and then multiplying it by 36.9 to obtain the result of 19.2987. This example introduces both a decimal percentage and a decimal base number, adding complexity to the calculation and showcasing the versatility of the percent-to-decimal conversion method.

Solving Percent Equations
Math Example--Percents-- Equations with Percents: Example 9 Math Example--Percents--Equations with Percents: Example 9 Math Example--Percents--Equations with Percents: Example 9

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 150% of 8?" The solution involves converting 150% to its decimal form, 1.5, and then multiplying it by 8 to get the result of 12. This example introduces a percentage greater than 100%, demonstrating how the method applies consistently even when dealing with percentages that represent values larger than the whole.

Solving Percent Equations
Math Example--Percents-- Percent Change--Example 1 Math Example--Percents--Percent Change--Example 1 Math Example--Percents--Percent Change--Example 1

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 10 Math Example--Percents--Percent Change--Example 10 Math Example--Percents--Percent Change--Example 10

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 2 Math Example--Percents--Percent Change--Example 2 Math Example--Percents--Percent Change--Example 2

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 3 Math Example--Percents--Percent Change--Example 3 Math Example--Percents--Percent Change--Example 3

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 4 Math Example--Percents--Percent Change--Example 4 Math Example--Percents--Percent Change--Example 4

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 5 Math Example--Percents--Percent Change--Example 5 Math Example--Percents--Percent Change--Example 5

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 6 Math Example--Percents--Percent Change--Example 6 Math Example--Percents--Percent Change--Example 6

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 7 Math Example--Percents--Percent Change--Example 7 Math Example--Percents--Percent Change--Example 7

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 8 Math Example--Percents--Percent Change--Example 8 Math Example--Percents--Percent Change--Example 8

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Percents-- Percent Change--Example 9 Math Example--Percents--Percent Change--Example 9 Math Example--Percents--Percent Change--Example 9

This is part of a collection of math examples that focus on percents.

Percents
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 1 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 1 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 1

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates how to solve a proportion problem where two ratios a:b and c:d are proportional. Given the values b = 3, c = 4, and d = 6, we need to find the value of a. The proportion is set up as a / 3 = 4 / 6, which is then solved to find that a = 2.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 10 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 10 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 10

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion problem using similar triangles with algebraic expressions. Two triangles are shown, one with sides of 6 and 9, and the other with sides of 2x and 2x + 9. The problem requires setting up a proportion: 6 / 9 = 2x / (2x + 9). Solving this equation leads to x = 9, which then allows us to find the side lengths of 18 and 27.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 11 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 11 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 11

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar right triangles. Two right triangles are shown, one with legs of 7 and 9, and the other with legs of 14 and x. The problem requires finding the length of side x by setting up a proportion based on the similar triangles: 7 / 9 = 14 / x. Solving this equation leads to x = 18.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 12

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion problem using similar right triangles with algebraic expressions. Two right triangles are shown, one with legs of 5 and 8, and the other with legs of 2x and (2x + 6). The problem requires setting up a proportion: 5 / 8 = 2x / (2x + 6). Solving this equation leads to x = 5, which then allows us to find the side lengths of 10 and 16.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 13

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar right triangles with special angles (30°-60°-90°). Two triangles are shown, with the smaller one having sides of 6√3 and 6, and the larger one having sides of x and 12. The problem requires finding the length of side x by setting up a proportion: (6√3) / 6 = x / 12. Solving this equation leads to x = 12√3.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 14

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion problem using similar right triangles with special angles (30°-60°-90°) and algebraic expressions. Two triangles are shown, with the smaller one having sides of 16 and 8, and the larger one having sides of (3x + 4) and 2x. The problem requires setting up a proportion: 16 / 8 = (3x + 4) / 2x. Solving this equation leads to x = 4, which then allows us to find the side lengths of 8 and 16.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 15

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar right triangles. Two right triangles are shown, with the smaller one having sides of 4 and 3, and the larger one having sides of x and 12. The problem requires finding the length of side x by setting up a proportion: 4 / 3 = x / 12. Solving this equation leads to x = 16.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 16

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion problem using similar right triangles with algebraic expressions. Two right triangles are shown, with the smaller one having sides of (3x + 4) and 6, and the larger one having sides of 3x and 3x. The problem requires setting up a proportion: 8 / 6 = (3x + 4) / 3x. Solving this equation leads to x = 4, which then allows us to find the side lengths of 12 and 16.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 17

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar right triangles. Two right triangles are shown, with the left one having sides of 12 and 5, and the right one having sides of x and 15. The problem requires finding the length of side x by setting up a proportion: 12 / 5 = x / 15. Solving this equation leads to x = 36.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 18

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion problem using similar right triangles with algebraic expressions. Two right triangles are shown, with the left one having sides of 12 and 5, and the right one having sides of 10x + 8 and 5x. The problem requires setting up a proportion: 12 / 5 = (10x + 8) / 5x. Solving this equation leads to x = 4, which then allows us to find the side lengths of 20 and 48.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 19

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar isosceles right triangles. Two 45-45-90 triangles are shown, with one having sides labeled y and 5√2, and the other having sides labeled x and 12. The problem requires finding the lengths of both x and y using the special properties of isosceles right triangles and proportions.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion where b is expressed as x + 1, and c and d are given constants (c = 3, d = 2). The goal is to solve for a using the proportion a / b = c / d. By substituting the known values, we set up the equation a / (x + 1) = 3 / 2 and solve for a, resulting in the expression a = (3(x + 1)) / 2.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 20

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion problem using similar isosceles right triangles with algebraic expressions. Two 45-45-90 triangles are shown, with one having sides labeled 15√2 and 15, and the other having sides labeled √2 * 5x and y. The problem requires finding the length of y in terms of x using the special properties of isosceles right triangles and proportions.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 21

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar isosceles triangles. Two isosceles triangles are shown, with the smaller one having sides of 30 and 16, and the larger one having sides of x and 20. The problem requires finding the length of side x by setting up a proportion: 30 / 16 = x / 20. Solving this equation leads to x = 37.5.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 22

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion problem using similar isosceles triangles with algebraic expressions. Two isosceles triangles are shown, with the smaller one having sides of 22 and 12, and the larger one having sides of 10x + 5 and 6x. The problem requires setting up a proportion: 22 / 12 = (10x + 5) / 6x. Solving this equation leads to x = 5, which then allows us to find the side lengths of the larger triangle.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 23

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar equilateral triangles. Two equilateral triangles are shown, with the smaller one having a side length of 12, and the larger one having a side length of 6x and an additional side labeled as 12 + x. The problem requires finding the lengths of the sides of the larger triangle by setting up a proportion: 12 / 12 = (12 + x) / 6x. Solving this equation leads to x = 2.4, and the length of the larger triangle's side is found to be approximately 14.4 units.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 24

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a complex proportion problem using similar equilateral triangles with algebraic expressions. Two equilateral triangles are shown, with the smaller one having a side length of 3x, and the larger one having side lengths labeled as (4x + 1) and (x + 1). The problem requires setting up a proportion: 3x / (4x + 1) = 3x / (3x + (x + 1)). Solving this equation leads to a quadratic equation, which when solved gives x ≈ 7/1.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 25

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar rectangles. Two rectangles are shown, with the smaller one having sides of 2 and 3, and the larger one having sides of x and 15. The problem requires finding the length of side x by setting up a proportion: 2 / 3 = x / 15. Solving this equation leads to x = 10.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 26

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion problem using similar rectangles with algebraic expressions. Two rectangles are shown, with the smaller one having sides of 5 and 12, and the larger one having sides of x + 5 and 3x + 6. The problem requires setting up a proportion: 5 / 12 = (x + 5) / (3x + 6). Solving this equation leads to x = 10, which then allows us to find the side lengths of the larger rectangle as 15 and 36.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 27

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates solving a proportion problem using similar parallelograms. Two parallelograms are shown, with the smaller one having sides of 8 and 18, and the larger one having sides of 20 and x. The problem requires finding the length of side x by setting up a proportion: 8 / 18 = 20 / x. Solving this equation leads to x = 45.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 28

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion problem using similar parallelograms with algebraic expressions. Two parallelograms are shown, with the smaller one having sides of 9 and 21, and the larger one having sides of x + 12 and 4x + 3. The problem requires setting up a proportion: 9 / 21 = (x + 12) / (4x + 3). Solving this equation leads to x = 15, which then allows us to find the side lengths of the larger parallelogram as 27 and 63.

Proportions
Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29 Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 29

Topic

Ratios, Proportions, and Percents

Description

This example demonstrates how to determine if two triangles are similar using proportions. Two triangles are shown, both with a 70° angle. The first triangle has sides of 12 and 10, while the second has sides of 18 and 15. The problem requires setting up a proportion to check for similarity: 12 / 10 = 18 / 15. After simplifying, both ratios are equal (6 / 5 = 6 / 5), confirming that the triangles are indeed similar.

Proportions