Answer:
Step-by-step explanation:
Theorem: A line drawn from the center perpendicular to the chord bisects the chord.
By the Theorem above, Point E and F bisects CD and AB into 6 Units each as seen in the diagram.
Therefore:
|FB|=6 Units
In Right Triangle OED, applying Pythagoras Theorem
Therefore:
The equation would be 2n x 2 = 3n - 1/2.
So, combine like terms to make it 4n = 3n - 1/2. Subtract to get n = -1/2.
Your answer is -1/2.
The value of P(R = 3) is 0.2854
<h3>Probability</h3>
Probabilities are used to determine the chances of events.
The given parameters are:
--- the number of slots
. --- the number of red slot
. --- the number of black slot
. --- the number of green slot
<h3>Individual probabilities</h3>
The probability that the ball lands on a red slot is calculated as:
Simplify
The probability that the ball does not land on a red slot is calculated as:
Simplify
<h3>
Binomial probability</h3>
The value of P(R = 3) is then calculated using the following binomial probability formula
Where:
So, we have:
Hence, the value of P(R = 3) is 0.2854
Read more about probabilities at:
brainly.com/question/15246027
<h3>Answer:</h3>
A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°
<h3>Explanation:</h3>
The sum of angles in ∆ABC is 180°, so ...
... (2x -2) + (2x +2) + (5x) = 180
... 9x = 180
... x = 20
and the angles of ∆ABC are ∠A = 38°, ∠B = 42°, ∠C = 100°.
___
The sum of angles of ∆A'B'C' is 180°, so ...
... (58 -x) +(3x -18) +(120 -x) = 180
... x +160 = 180
... x = 20
and ∠A' = 38°, ∠B' = 42°, ∠C' = 100°.
_____
The values of angle measures of ∆ABC match those of ∆A'B'C', so we can conclude ...
... A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°
