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Chapter 2: Q3. (page 114)

Determine whether each pair of ratios are equivalent ratios. Write yes or no. Justify your answer.

2.84.4,鈥�1.42.1

Short Answer

Expert verified

No, the pair of ratios2.84.4,鈥�1.42.1 are not equivalent ratios because 2.84.4鈮�1.42.1.

Step by step solution

01

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers. If ab=cd, where a and d are extremes and b and c are the means, then in a proportion the product of the extremes is equal to the product of the means that is., ad=bc,鈥夆赌夆赌�b,d鈮�0.

If two ratios are in proportion then they are equivalent ratios.

02

Step-2. Determine the cross products.

Use cross products to determine whether two ratios form a proportion.

2.84.4=?1.42.12.8脳2.1=?1.4脳4.45.88鈮�6.16

03

Step-3. State the conclusion.

Since, the cross products are not equal, that is., 5.88鈮�6.16, therefore the ratios do not form the proportion and so they are not equivalent ratios.

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