Name a pair of vertical angles.Vert

Mathematics

1 answer:

GrogVix [38]2 years ago

3 0

The pair of vertically opposite angles are ∠1 and ∠3 and ∠4 and ∠2.

<h3>What is vertically opposite angles?</h3>

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines and are opposite to each other.

Vertically opposite angles share the same vertex point.

In other words, vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines

Vertically opposite angles are congruent to each other.

Therefore, the pair of vertical angles are as follows:

∠1 and ∠3
∠4 and ∠2

learn more on vertically opposite angles here: brainly.com/question/12017933

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In aâ€‹ lottery, 6 numbers are randomly sampled without replacement from the integers 1 to 50. Their order of selection is not i

nlexa [21]

Answer: 0.444225

Step-by-step explanation:

Given : The total number of tickets = 50

Number of tickets are randomly sampled without replacement =6

Since the order of selection is not important , so we use combinations.

Total number of ways to select 6 tickets = $^{50}C_6$

The number of winning tickets = 6

So, number of tickets that are not winning = 50-6=44

Number of ways of selecting zero winning numbers= $^{44}C_{6}$

Now , the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket out of the 50 possible numbers would be $\dfrac{^{44}C_{6}}{^{50}C_6}$

$=\dfrac{\dfrac{44!}{6!(44-6)!}}{\dfrac{50!}{6!(50-6)!}}\\\\\\=\dfrac{\dfrac{44\times43\times42\times41\times40\times39\times38!}{38!}}{\dfrac{50\times49\times48\times47\times46\times45\times44!}{44!}}\\\\\\=\dfrac{44\times43\times42\times41\times40\times39}{50\times49\times48\times47\times46\times45}\\\\=\dfrac{252109}{567525}\approx0.444225$