Answer: 
Step-by-step explanation:
The total number of cards =52
The number of kings in the cards = 4
If repetition is not allowed , then the total number of ways of choosing 3 cards will be :-

The number of ways of choosing 3 kings will be :-

Now, the probability of choosing 3 king cards will be :-

Hence, the probability of choosing 3 king cards =
Solution:
Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.
These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:
Notice that together they make a straight angle.
Hence,
From the image
The following pairs form vertical angles

Hence,
One pair of the vertical angles is ∠1 and ∠3
Part B:
Two angles are said to be supplementary when they ad together to give 180°
Hence,
From the image,
The following pairs are supplementary angles

Hence,
One pair of supplementary angles is ∠5 and ∠6
The answer is b, > because 30.17 is bigger than 30.018
Answer:

Step-by-step explanation:
<u>Funciones Trigonométricas</u>
La identidad principal en trigonometría es:

Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.
Dado que Sen A = 4/5, calculamos el coseno:

Sustituyendo:




Tomando raíz cuadrada:

La tangente se define como:

Substituyendo:

