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lesya [120]
3 years ago
9

If △ABC ≅ △DEF, then what corresponding side is congruent to side BA? (Enter answer using segment letters only.)

Mathematics
1 answer:
sdas [7]3 years ago
3 0
<h3>Answer is   ED</h3>

note: ED is the same as DE. The order of the segment letters does not matter.

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

Explanation:

In the sequence ABC, the letter B is the second letter and A is the first.

So the corresponding segment to BA will have its first slot be the second letter of DEF, and its second slot be the first letter of DEF. That's how I'm getting ED for the answer. It is the same as DE because it's the same segment.

The corresponding sides are congruent due to the CPCTC which stands for "corresponding parts of congruent triangles are congruent".

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Answer:

The expected payout of the game is $230.46.

Step-by-step explanation:

The given table is

Payout Amount :    $160       $4400      $145000      

Probability         :    0.146       0.024          0.0007

We need to find the expected payout of the game.

The formula for expected payout is

\text{Expected payout}=\sum n_iP(x_i)

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.

Using the above formula we get

\text{Expected payout}=160\times 0.146+4400\times 0.024+145000\times 0.0007

\text{Expected payout}=23.36+105.6+101.5

\text{Expected payout}=230.46

Therefore the expected payout of the game is $230.46.

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Karo-lina-s [1.5K]

Answer:

  1. 109°, obtuse
  2. 131°, obtuse
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Step-by-step explanation:

You are exected to know the relationships of angles created where a transversal crosses parallel lines.

  • Corresponding angles are equal (congruent).
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The appearance of the diagram often gives you a clue.

You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.

1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.

2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.

3. Opposite interior angles are equal, so w will be 53°. It is acute.

4. Corresponding angles are equal, so x will be 124°. It is obtuse.

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Step-by-step explanation:

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