Answer:

Step-by-step explanation:
This problem can be solved using the pythagorian theoreme:

Where:



We isolate our incognita an we get:

We supplant with the given data:





There are 4 choose 3 ways to hold 3 kings and 4 possible queens to make up the fourth card of the hand out of a total of 54 choose 4 possible four-card hands, which gives us the following expression for the probability of being dealt 3 kings and a queen out of 4 cards: Or roughly 1 in every 16920 four card hands.
Answer:
x = 10
missing angle = 83°
Step-by-step explanation:
These are supplementary angles meaning they have a sum of 180°.
8x + 3 + 97 = 180
8x + 100 = 180
8x + 100 - 100 = 180 - 100
8x = 80
x = 10
Substitute the value for the variable.
8(10) + 3
80 + 3
83