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Tcecarenko [31]
3 years ago
9

Which method and additional information would prove triangle ONP and triangle MNL similar by the AA similarity postulate?

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0
<h3>Answer: Choice B</h3>

Use a rigid transformation to prove that angle NPO is congruent to angle NLM

=====================================================

Explanation:

The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.

The second pair of angles could either be

  • angle NOP = angle NML
  • angle NPO = angle NLM

so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.

Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.

We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.

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Answer:

The expected value of the game to the player is -$0.2105 and the expected loss if played the game 1000 times is -$210.5.

Step-by-step explanation:

Consider the provided information.

It is given that if ball lands on 29 players will get $140 otherwise casino will takes $4.

The probability of winning is 1/38. So, the probability of loss is 37/38.

Now, find the expected value of the game to the player as shown:

E(x)=(140)\times \frac{1}{38}+(-4)\times \frac{37}{38}

E(x)=\frac{140-148}{38}

E(x)=\frac{-8}{38}=-$0.2105

Hence, the expected value of the game to the player is -$0.2105.

Now find the expect to loss if played the game 1000 times.

1000×(-$0.2105)=-$210.5

Therefore, the expected loss if played the game 1000 times is -$210.5.

5 0
3 years ago
Which of the following sets of numbers could be the lengths of the sides of a triangle?
just olya [345]

Answer:

  E.  2, 3, 4

Step-by-step explanation:

The sum of the shortest two sides must exceed the longest side. That is only the case for the set ...

  {2, 3, 4}

7 0
2 years ago
Me dicen la sifra 5p-14=8p+19
Alex
5p-14=8p+19
8p-5p = -3p
-3p-14=18
14+18 = 33
33/-3=-11
7 0
2 years ago
True or false all rectangles are quadrilaterals
Leni [432]

answer - true

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therefore, all rectangles are quadrilaterals

7 0
3 years ago
How can conversion of measurements help me solve real world problems
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Hope that was what you were expecting.
6 0
3 years ago
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