Answer:
a=7
Step-by-step explanation:
24^2+a^2=25^2
576+a^2=625
49=a^2
a=7
Let's first denote:
F - a favorable response
F' - an unfavorable response
S - successful
We know that:

So, from the conditional probability, we can calculate:

Answer E.
Answer:
k=13
Step-by-step explanation:
19 + 12k = –k − 20
19+20=39=13k
k=13
The perimeter of an object is given by the sum of all the sides of the object. Thus the perimeter of a quadrilateral is the sum of the four sides of the quadrilateral.
Given a quadrilateral with sides: n, 2n - 12, 3n + 4, n + 7
The sum is n + 2n - 12 + 3n + 4 + n + 7 = 7n - 1 = 90
Thus, 7n = 90 + 1 = 91 and n = 91 / 7 = 13.
Therefore, the length of the side KL is n = 13 centimeters.