<span>Starting with x−24/x<10 multiply everything by x.
x^2-24<10x
Subtract 10x from both sides.
x^2-10x-24 < 0
Factor.
(x-12)(x+2) < 0
(x+2) is always positive since x > 0, but (x-12) is negative when x is a value between 0 and 12. This negative value for (x-12) satisfies that the left side is less than 0. Thus the solution set for x is (0,12).</span>
Answer: a)
b) 
Step-by-step explanation:
Since we have given that
Number of days in a year = 365
Number of students = 50
Probability that no two students share the same birthday. It means each student has different birthday.
Probability(no two students share the same birthday)
Probability(no two students share the same birthday)
Probability(no two students share the same birthday)
Probability that at least one of the students has the same birthday as another student in the class is given by

So you have a diagram or picture of the triangle?
Anyways...
Answer: 36
Explanation:
3:5:7 is the ratio of the triangle's angles
The sum of all angles = 180 degrees.
3 + 5 + 7 = 15
Lets assume 'a' is the smallest angle with the ratio of 3
b is the second largest with a ratio of 5
And c is the largest angle with the ratio of 7
In other words:
a + b + c = 180
For 15 to get to 180 => 180 ÷ 15 = 12
So 15 × 12 = 180
So for 3 to get to a => 3 × 12 = 36
Thus the smallest angle is 36 degrees
Answer:
it would be B
Step-by-step explanation:
because 45 is being subtracted with