MATHEMATICS HIGH SCHOOL

Statements Reasons 1. BE || CD 1. Given 2. ∠A ≅ ∠A 2. Reflexive Property 3. ∠ACD ≅ ∠ABE 3. Corresponding angles formed by parallel lines and a transversal are ≅. 4. ∠ADC ≅ ∠AEB 4. Corresponding angles formed by parallel lines and a transversal are ≅. 5. ΔABE ∼ ΔACD 5. ??? Fill in the missing reason for the proof. A) SSS Congruence Theorem B) SSS Similarity Theorem C) AA Similarity Postulate D) SAS Congruence Postulate

Answers

Answer 1
Answer:

Answer:

The correct option is;

C) AA Similarity Postulate

Step-by-step explanation:

The given parameters are;

BE║CD Given

∠A is congruent to ∠A Reflective property

∠ACD is congruent to ∠ABE Corresponding angles formed by parallel lines and a transversal

∠ADC is congruent to ∠AEB Corresponding angles formed by parallel lines and a transversal

ΔABE ~ ΔACD AA Similarity Postulate

When two angles of one triangle are equal to the corresponding two angles of another triangle, given that the third angle of both triangles are also equivalent based on sum of angles of a triangle postulate, the two triangles are said to be similar based on Angle-Angle (AA) Similarity Postulate.

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Find the diagonal of a square whose area is 64 M2

Which is equal to the product of HJ?

Answers

H = 1st row   4 -2  5
       2nd row 6  1 -3

J = 1st column 7 3 8

1st row and 1st column:  4*7 + -2*3 + 5*8 = 28 - 6 + 40 = 62
2nd row and 1st column: 6*7 + 1*3 + -3*8 = 42 + 3 - 24 = 21

Answer is 2nd option. 62 and 21.

13. John and Jane ate lunch at a local restaurant and wanted to divide the bill evenly. Thebill for the food was $8.70, plus 2 sodas for $0.75 each, including tax. How much
money back should just John receive if he pays for his half with a $20 bill?

Answers

John will receive $9.80 back

Brainliest first correct answer!

Answers

Answer:

A

Step-by-step explanation:

If there are 5 family members all exchanging gifts, how many gifts are exchanged?If you could give an explanation too, that would be great! Thanks so much!

Answers

I think 20 gifts would be exchanged because each family member has to exchange 1 gift to everyone

Which of the following expressions is equivalent to 3?7 + (-4)
-7 + 4
7 - (-4)
-7 - (-4)

Answers

-7 - (-4)   

is your answer. hope I helped

Answer:

first one

Step-by-step explanation: 7 + (-4) = 3

hope this helps.

Suppose Lynn rolls a fair die until a 6 appears on top. What is the probability that it rolls to get a six the first time?

Answers

The probability of getting six in first time is 1/6.

What is probability ?

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Lynn rolls a fair die.

Since, there are 6 faces on die.

In which 1, 2, 3, 4, 5, and 6 are shown.

The find probability of getting 6 in first time,

Use formula,

Probability = favorable outcome / total outcome

                  = 1 / 6

                  = 0.666

The required probability is 1/6.

To know more about Probability on:

brainly.com/question/12478394

#SPJ2
the probability that it rolls to get a six the first time is 1/6=0,1666...
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