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Effectus [21]
2 years ago
13

If a series of rigid transformations maps ∠E onto ∠B where ∠E is congruent to ∠B, then which of the following statements is true

?
triangles ABC and FDE, in which angles A and D are right angles

ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations

segment DE ~ segment AB because corresponding parts of similar triangles are proportional

ΔABC ~ ΔFDE because of the AA similarity postulate

segment DE ~ segment AB because of the definition of similarity in terms of similarity transformations
Mathematics
1 answer:
mafiozo [28]2 years ago
7 0

The statement that will be true about the rigid transformations would be: C. ΔABC ~ ΔFDE because of the AA similarity postulate

<h3>What is the AA Similarity Theorem?</h3>

The AA Similarity Theorem states that when two angles in one triangles are congruent to two corresponding angles in another triangle, therefore, both triangles can be proven to be similar triangles.

In the diagram given as attached below, ΔABC and ΔFDE have two congruent corresponding angles:

  • ∠D ≅ ∠A (right angles)
  • ∠E ≅ ∠B

Therefore the statement that will be true about the rigid transformations would be: C. ΔABC ~ ΔFDE because of the AA similarity postulate

Learn more about AA Similarity Theorem on:

brainly.com/question/2166570

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PLEASE HELP!!!!! 3, 8, 13, 18, 23, ....<br><br> The recursive formula for this sequence is:
rodikova [14]

Answer:

a₈ = 37

Step-by-step explanation:

The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .

The recursive formula for the sequence is: $ a_n = a_{n - 1} + 5 $

Here, $ a_n $ represents the $ n^{th} $ of the sequence.

And, $ a_{n - 1} $ represents the $ (n - 1)^{th} $ of the sequence.

'+5' denotes that '5' is added to the $ (n - 1)^{th} $ term to get the $ n^{th} $ term. In other words, the difference between two consecutive numbers in the sequence is 5.

Now, we are asked to find a₈ i.e., n =8.

Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.

So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.

⇒ a₆ = 23 + 5 = 28.

⇒ a₇ = 28 + 5 = 32.

⇒ a₈ = 32 + 5 = 37.

Therefore, the $ 8^{th} $ term of the sequence is 37.

8 0
3 years ago
5. h(t) = 3 • 49 for t= -3
Novosadov [1.4K]

Answer:

what do you need here there has to be something to do here your just giving me a variable

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
At the mall Julie finds a sale at her favorite store. Two pair of pants will cost $42. If she wants to buy 5 pair, how much will
katovenus [111]
Divide 42 by two and then multiply by 5
5 0
3 years ago
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Jenna has at most $100 to spend on clothes. She wants to buy a pair of jeans for $29 and spend the rest on shirts. Each shirt co
maw [93]

Answer:

5 shirts (read explanation)

Step-by-step explanation:

14x+29=100

14x=71

x=5.1

She can buy 5 shirts

8 0
3 years ago
Pls can someone help me. I m giving 10 pts . I may mark you as the braniliest
worty [1.4K]

100 notes were altogether

<em><u>Solution:</u></em>

Given that ratio of the number of $2 notes to the number of $5 notes was 4 : 1

number of $2 notes : number of $5 notes = 4 : 1

Let 4x be the number of $ 2 notes

Let 1x be the number of $ 5 notes

Given that total value of notes is $ 260

Therefore,

$ 2 (number of $ 2 notes ) + $ 5(number of $ 5 notes ) = $ 260

$ 2(4x) + $ 5(1x) = $ 260

8x + 5x = 260

13x = 260

x = 20

<em><u>Thus number of notes altogether is given as:</u></em>

4x + 1x = 4(20) + 1(20) = 80 + 20 = 100

Thus 100 notes were altogether

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3 years ago
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