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2 years ago

Short Proofs - No Triangle Congruence

Mathematics

1 answer:

Marat540 [252]2 years ago

3 0

Step-by-step explanation:

Given,

∠CBE ≅ ∠DBE ----> 1

∠CBE ≅ ∠BCA ----> 2

From 1 & 2,

∠BCA≅ ∠DBE ----> 3

∠DBE ≅ ∠BAC ----> 4

Reason,

Since BE II AC, corresponding angles are equal.

From 3 & 4,

∠BCA ≅ ∠BAC

BC is opposite to ∠BCA

AB is opposite to ∠ABC

Side opposite to congruent angles are always congruent.

Therefore,

AB ≅ BC

Hence proved.

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Answer:

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Step-by-step explanation:

We want to evaluate $log_{625}(5)$ .

The base of this logarithm is $625$ and the number is $5$ .

We need to express the number $5$ as the base $625$ raised to a certain index.

This implies that, $log_{625}(5)=log_{625}(625^{\frac{1}{4}})$

Recall now that,

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