Mathematics: A garden table and a bench cost 685$ combined. The garden table costs 35$ more than the bench. What is the cost of the bench?

A garden table and a bench cost 685$ combined. The

Ответ:

babyash12718

11.10.2022

$RQ\cong UT$

Step-by-step explanation:

Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.

From the triangles RQS and UTV

$\angle R\cong \angle U\\\angle S\cong \angle V$

The adjacent side to $\angle R$ is RQ and for $\angle U$ is UT.

Similarly, the adjacent side to $\angle S$ is QS and for $\angle V$ is TV.

So, the possible sides that could be congruent by AAS postulate are:

$RQ\cong UT$ or $QS\cong TV$

So, the correct option is $RQ\cong UT$

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A garden table and a bench cost 685$ combined. The garden table costs 35$ more than the bench. What is the cost of the bench?

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