Answer:
see explanation
Step-by-step explanation:
If AB is a tangent then ∠ ABC = 90° and Δ ABC is right
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides.
15 is the longest side and 15² = 225
9² + 12² = 81 + 144 = 225
Thus Δ ABC is a right triangle at B
Thus AB is a tangent to the circle at B
What table , can you please add a table
In a triangle, the midline joining the midpoints of two sides is parallel to the third side and half as long
2(5x+2) = 3x + 32
10x + 4 = 3x + 32
10x - 3x = 32 - 4
7x = 28
x = 28/7
x = 4
The length of the midsegment = 5x+2 = 5·4 + 2 = 22
You want to draw 2 kings from a 52 card deck. And you do it with replacement.
There are 4 kings in a standard deck. The probability of getting one of them is
4/52 on the first draw.
For the second draw the probability is the same.
4/52
The probability for both happening is
(4/52)*(4/52) = (1/13)*(1/13) = 1/169 = 0.001597