If the triangles are similar then the angles in both are equal. Let's look at each set individually:
(1) Triangle 1: 25°, 35° Triangle 2: 25°, 120° Now it may be hard to tell if the triangles are similar at the moment so we must calculate the third angle in each triangle (The angles in a triangle add up to 180°, therefor the missing angle = 180 - (given angle 1 + given angle 2) Triangle 1: 180 - (25 + 35) = 120° Triangle 2: 180 - (25 + 120) = 35°
Now writing out the set of angles again we have: Triangle 1: 25°, 35°, 120° Triangle 2: 25°, 120°, 35°
So in fact Triangle 1 and 2 are similar.
Now we can repeat this process for (2) - (5):
(2) Triangle 1: 100°, 60°, 20° Triangle 2: 100°, 20°, 60° This pair is also similar
(3) Triangle 1: 90°, 45°, 45° Triangle 2: 45°, 40°, 95° This pair is not similar
(4) Triangle 1: 37°, 63°, 80° Triangle 2: 63°, 107°, 10° This pair is not similar
(5) Triangle 1: 90°, 20°, 70° Triangle 2: 20°, 90°, 70° This pair is similar
We can express that probability as P(V | W), the probability of V given W.
Step-by-step explanation:
We know that the chosen person works for the goverment, so we have to assume W as hypothesis. Therefore, in order to calculate the probability of that person voting on the election, event noted by V, we have to <em>condition</em> V to the event W. As a result, we want the probability of V given W, which can be written as P(V | W), and it can be calculated using this formula
The average rate of changes for each of the functions between 0 and 1 is 8, 3, 1, and 2. The average rate of change of y = 3x is 2. Therefore the same average rate of change is 2, which is the function y = 1/3-x
