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Chapter 7: Q16. (page 246)

What can you conclude from the given information.

Explain whyab=cdandba=dc are equivalent.

Short Answer

Expert verified

Both proportion gives the same equationthat鈥檚 why it is equivalent.

Step by step solution

01

Step 1. Given information.

The given proportions are,

ab=cd鈥夆赌�and鈥夆赌�ac=bd.

鈥夆赌�a鈥夆赌�and鈥夆赌�dare called extreme and鈥夆赌�b鈥夆赌�and鈥夆赌�c are called means.

02

Step 2. Now, from the means-extreme property.

Product of means and product of extremes are equal.

It is givenab=cd鈥夆赌�and鈥夆赌�ac=bd,

For the proportiona:b::c:d,

i.eab=cd,

03

Step 3. For the proportionab=cd  .

Means-extremes property givesad=bc,

Similarly,

04

Step 4. For the proportionac=bd  .

Means-extremes property gives, ad=bc

So, both the proportion gives the same equation.

Therefore, the given proportion is equivalent.

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