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Vlada [557]
2 years ago
6

Kira drew PQR and STU so that P S, Q T, PR = 12, and SU = 3. Are PQR and STU similar? If so, identify the similarity postulate o

r theorem that applies.
A. Similar - SSS
B. Similar - AA
C. Similar - SAS
D. Cannot be determined

Mathematics
2 answers:
Debora [2.8K]2 years ago
8 0
B. Similar- Angle Angle Similarity Theorem
This theorem states that if 2 angles of a triangle are congruent to two angles of another triangle, then the two triangles are similar.
Hope this helps :) 
pantera1 [17]2 years ago
5 0
Hello there.

<span>Kira drew PQR and STU so that P S, Q T, PR = 12, and SU = 3. Are PQR and STU similar? If so, identify the similarity postulate or theorem that applies.

</span><span>B. Similar - AA
</span>
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Tegan takes 23 minutes to walk to work. After getting a new
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6 0
2 years ago
7)
Llana [10]

Answer:

Step-by-step explanation:

If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;

21, (21+12), (21+12+12), ...

<em>21, 33, 45...</em>

a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.

The nth term of an arithmetic sequence is expressed as T_n = a + (n-1)d

a is the first term = 21

d is the common difference = 33-21 = 45-33 = 12

n is the number of terms

Substituting the given parameters into the formula;

T_n = 21+(n-1)*12\\T_n = 21+12n-12\\T_n = 21-12+12n\\T_n = 9+12n

<em>Hence the equation for the nth floor of the tower is expressed as </em>T_n = 9+12n<em></em>

<em></em>

b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

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4 0
2 years ago
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