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Yuri [45]
3 years ago
5

A card is drawn at random from a standard 52-card deck. Find the probability that the card is not a queen.

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

Answer:

ok The answer is

Step-by-step explanation:

No of queen: 4

No of total card: 52

Now,

Probability that the card is not a queen : No of queen/ No of total card

4/52 = 1/13

so, the probability that the card is not queen is 1/13

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Geometry: Write the theorem or postulate for each of the following, ASAP!!!
beks73 [17]

The theorems or postulates for the given pair of angles are as follows:

2. ∠2 ≅ ∠8 → Alternate exterior angles are congruent;

3. ∠2 ≅ ∠4 → Vertically opposite angles are congruent;

4. ∠3 ≅ ∠5 → Alternate interior angles are congruent;

5. ∠3 is supplementary to ∠6 → Consecutive interior angles are supplementary;

6. ∠4 ≅ ∠8 → Corresponding angles are congruent;

<h3>What are the types of pairs of angles?</h3>

Consider two lines m and n are parallel. A transversal t is intersecting the lines m and n.

So, it forms 8 angles with the lines m and n. They are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8.

Based on their position, they are paired into different categories. Such as:

Interior angles: ∠3, ∠4, ∠5, ∠6

Exterior angles: ∠1, ∠2, ∠7, ∠8

  • 'Alternate interior angles' are the pair of interior angles on the opposite side of the transversal 't'. I.e., (∠3, ∠5), (∠4, ∠6) are congruent.
  • 'Alternate exterior angles' are the pair of exterior angles which are on the opposite side of the transversal 't'. I.e., (∠2, ∠8), (∠1, ∠7) are congruent.
  • 'Consecutive interior angles' are the pair of interior angles which are on the same side of the transversal 't'. I.e., (∠3, ∠6), (∠4, ∠5). These are also called "Supplementary angles" which mean they add up to 180°.
  • 'Consecutive exterior angles' are the pair of exterior angles on the same side of the transversal 't'. I.e., (∠2, ∠7), (∠1, ∠8). These are also called "Supplementary angles" which mean they add up to 180°.
  • 'Vertically opposite angles' are the pair of angles that are opposite to each other at the point of intersection. I.e., (∠1, ∠3), (∠2, ∠4), (∠5, ∠7), (∠6, ∠8)
  • 'Corresponding angles' are the pair of consecutive angles in which one of the angles is exterior and the other is interior. I.e., (∠1, ∠5), (∠2, ∠6), (∠4, ∠8), (∠3, ∠7)

<h3>Theorems or postulates for the given pair of angles:</h3>

Classifying the given pair of angles and their corresponding theorems:

2. ∠2 ≅ ∠8 → These angles belong to pair of Alternate exterior angles.

Theorem - "The alternate exterior angles are congruent"

3. ∠2 ≅ ∠4 → These belong to pair of vertically opposite angles.

Theorem - "The verticle angles are congruent"

4. ∠3 ≅ ∠5 → These belong to pair of alternate interior angles.

Theorem - "The alternate interior angles are congruent"

5. ∠3 is supplementary to ∠6 → These angles belong to pair of consecutive interior angles. Thus, they are supplementary.

Theorem - " The supplementary angles add up to 180°"

6. ∠4 ≅ ∠8 → These angles belong to pair of corresponding angles.

Theorem - " The corresponding angles are congruent".

Learn more about the pair of angles here:

brainly.com/question/18772057

#SPJ1

7 0
1 year ago
Does this represent two quantities that are proportional
Nadya [2.5K]

Answer:

from looking at this we can see

1*4=4

2*4=8

3*4=12

6*4=24

a

Hope This Helps!!!

3 0
2 years ago
Landon and Keira want to make enough salsa to fill two of the bowls they bought. One bowl holds 3 pints, and the other bowl hold
Dahasolnce [82]
How many ounces in a pint? 16
One bowl holds 3 pints. 
16 multiplied by 3 equals 48.

Theres two bowls. One holds 3 pints which converts to 48 ounces and another holds 24 ounces, now add the ounces together.
48+24=72.
Your answer is 72 ounces
5 0
3 years ago
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On a map, 2 inches represents an actual distance of 64 miles. Towns A and B are 608 miles apart. Find the distance between the t
Lelu [443]

Answer: The distance in the map is 19 inches.

Step-by-step explanation:

On the map. 2 inches represent an actual distance of 64 miles.

The actual distance between town A and town B is equal to 608 miles, we need to divide this distance into groups of 64 miles.

N = 608/64 = 9.5

And each one of those 9.5 groups is represented with 2 inches in the map, then the distance in the map is:

d = 9.5*2 inches = 19 inches.

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Nate walked 72 city blocks in 48 minutes. At this rate, how many city blocks can he walk in 90 minutes?
stiv31 [10]

Answer:

135 city blocks is the correct answer

Step-by-step explanation:

7 0
3 years ago
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