The complete proof using the AAS congruence postulate and CPCTC is explained below to show that QT ≅ SR.
<h3>What is the AAS Congruence Postulate?</h3>
When two angles of a triangle, and one of its side that is nonincluded are congruent to corresponding two angles and a nonincluded side in the another triangle, then both triangles are congruent by the AAS congruence postulate.
If two triangles are congruent, then all its corresponding parts are also congruent to each other based on the CPCTC theorem.
Below is the two-column proof that proves that side QT is congruent to side SR.
<u>Statement Reasons </u>
1. ∠R ≅ ∠T, QT ≅ SR 1. Given
2. ∠TQS ≅ ∠RSQ 2. Alternate interior angles
3. QS ≅ QS 3. Reflexive property
4. ΔTQS ≅ ΔRSQ 4. AAS
5. QT ≅ SR 5. CPCTC
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Answer:a) sample range (R)=2.5
b) sample variance = 0.605
c) sample standard deviation S =0.7778
Step-by-step explanation:
Answer:
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She should save $38,450.39.
The formula for the amount of money in an interest-bearing account that is compounded is

where A is the total amount in the account, p is the amount of principal invested, r is the interest rate as a decimal number, n is the number of times per year interest is compounded, and t is the number of years. Using our information we have:

Divide both sides:
Question:
A translation is applied to the triangle where A(1, 4) , B(2, -2) , and C(-3, 2). The image is the triangle that has vertices A′(5, 4) , B′(6, -2) , and C′(1, 2).
Answer:

Step-by-step explanation:
Given


From the translation of triangle ABC to A'B'C',
It will be observed that the y coordinates of both triangle remain unchanged.
This implies that triangle ABC is translated on the x coordinates alone.
Considering the x coordinates of A and A', we have:

Make k the subject


When 4 is added to the x coordinates of B and C, it gives the x coordinates of B' and C'.
Hence, the rule of translation is:
