I need help finding the measure of the angles

Mathematics

1 answer:

sveticcg [70]2 years ago

4 0

Answer:

Every angle listed is 90 degrees

Step-by-step explanation:

First of all, we know that the angle with the red square is 90 degrees; that square is a symbol that represents right angles. If that angle is 90 that must mean that line t and line a are perpendicular. In a perpendicular intersection, 4 right angles are created. Additionally, since line b is parallel to line a; it must also be perpendicular with line t. Therefore, all of those angles are also 90 degrees.

The answer can also be found using the properties of 2 parallel lines and a transversal like corresponding angles and alternate side interior angles.

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An athlete has 75% of winning the race if he is not injured. If he is injured, his probability of winning the race is only 15%.

alekssr [168]

Answer:

X = 'is the athlete injured' (X in {0,1})

Y = 'the athlete wins' (Y in {0,1})

P(Y=1|X=0) = 0.75

P(Y=1|X=1) = 0.15

P(Y=1) = 0.51

We are looking for P(X=1) - P(Y=1) = P(Y=1|X=0)*(1-P(X=1)) + P(Y=1|X=1)*P(X=1)

The above equation should provide you with the answer 0.4!