Let's start with the given arc and its angle.
The angle YWX is going to be half the arc length.
YWX = 1/2 (226) = 113
Angles VWX and YWX form a linear pair (or are supplementary angles), which means that their sum is 180 degrees.
(15x - 8) + 113 = 180
15x + 105 = 180
15x = 75
x = 5
Hope this helps!
Since z is the midpoint, rz and zt must be equal
4x - 15 = 25
4x = 40
X = 10
Plug the answer in and rz equals 40-15 which is 25.
25 + 25 = 50
Or if you really wanted, since you know 25 is half, just add them together right off the bat. (25 and 25, I mean)
Probability of heart = 13/52
probability of nine = 4/52
you add the probability because of the word "or" but must subtract the probability of drawing the 9 hearts because it's counted twice. counted once in heart probability and once again in nine probability.
probability of 9 <3 = 1/52
probability of heart or nine:
13/52 + 4/52 - 1/52 = 16/52
simplified;
= 4/13
If n is the first of these integers, then the other three are n + 1, n + 2, and n + 3. Then
n + (n + 1) + (n + 2) + (n + 3) = 114
4n + 6 = 114
4n = 108
n = 27
So the four numbers are 27, 28, 29, and 30.
