Using the intersecting chord theorem:
a x b = c x d
x+21 * 4 = x+3 * 10
Simplify:
4x+84 = 10x+30
Subtract 30 from both sides:
4x + 54 = 10x
Subtract 4x from both sides:
54 = 6x
Divide both sides by 6:
x = 9
Answer:
in step one, he splits up 63.81 incorrectly
Step-by-step explanation:
use cosine rule
a² = b² + c² -(2*b*c*cosA)
The probability that the students take both Advanced Weight Training and Advanced Spanish is the product of their individual probabilities.
P(A and B) = 0.099 = P(A) x P(B)
where A and B are the events in which a student takes Advance Weight Training and Advanced Spanish.
P(B) = P(A and B) / P(A)
Substituting the known values,
P(B) = 0.099 / 0.71 = 0.14
Thus, the answer is 0.14.
