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2 years ago

What is the missing reason in the proof

Mathematics

2 answers:

amid [387]2 years ago

7 0

Answer:

Option C. Transitive property of equality

Step-by-step explanation:

It is given in the question AB ≅ CD and CF ≅ EB

and we have to prove that AE ≅ FD

Since AB = AE + EB

and CD = CF + FD

AB ≅ CD [Given]

So, AE + EB ≅ CF + FD

Since CF ≅ EB [Given]

So, AE ≅ FD [Transitive property]

Hence Option C. Transitive property of equality will be the answer.

Vesna [10]2 years ago

5 0

I believe (C), is your answer....Transitive Property of Equality

Hope that helps!!!

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2 years ago

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Ket [755]

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Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

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$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

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2 years ago