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JulijaS [17]
2 years ago
5

Which theorem or postulate can be used to prove ΔRPQ ≅ ΔRST? Given R is the midpoint of QT and QT bisects PS at R.

Mathematics
2 answers:
liq [111]2 years ago
4 0

Answer:

SSS

If this answer is correct, please mark brainliest.

nikklg [1K]2 years ago
3 0

Answer:

<h2>C. SAS</h2>

Step-by-step explanation:

The graph of this problem is attached. There you can observe that we demonstrate the congruence using SAS postulate, which is Side-Angle-Side.

This is the postulate we should use because the mid point divides in equal parts by definition, that means, sides RP and RS are congruent, and sides QR and TR are congruent. In addition, angles QRP and TRS are congruent, because they are vertical angle.

So, we have Side-Angle-Side as congruent parts. Therefore, the postulate we have to use is SAS, option C.

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Answer:

There are 7 solutions.

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The oldest daughter is 18 and the others are 1 and 4 and the room number is 23.

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The first few solutions are laughable and unlikely, but all are possible.  

OR..

The clue that the sums of the daughters' ages is the room number is the sleeper.  The student's first response is that two possible age combinations meet the necessary conditions.  The teacher's reference to the "oldest daughter" resolves the ambiguity, so one of the solutions must consist of a set of ages in which at least two of the oldest daughters are the same age.

The prime factors of 72 are 2^3 *3^2.  Because one of the solutions requires the two oldest daughters to be the same age, only combination 6, 6, 2 would be admissible.  There are insufficient factors for any other combination in which the duplicate ages represent the oldest daughter.  The ages of these daughters sum to 14, which is the room number.  The other combination must therefore add to 14 and have an unique oldest age.  The combination 8, 3, 3 meets all conditions and is the answer.

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Alright, lets get started.

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Where d is total numer of miles she runs

x is number of weeks    :   Answer

Hope it will help :)


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