Lets fill in what we can as we go and work our way around to find all the angles and make sure they add to the correct degree.
Lets begin with the supplementary angle next to 142 at the--bottom right and that triangle
180-142=38
180-38-49=93
w=93
Moving to the triangle above that one
vertical angles are congruent
w=93, so the angle above it is 93
180-93-42=45
Now the very bottom triangle
180-142=38
180-38-73=69
To move any further we need to find the angles of the hexagon in the center(hexagon interior angles=720)
180-93=87(93 is w)
(left of 142)180-69=111
(right of 131)180-45=135
131+135+87+142+111=606
180-606=114
z=114
Upperleft triangle
y=180-131
y=49
180-114=66(114 is z)
x=180-49-66
x=65
Bottom left triangle
180-114=66
180-111=69
180-66-69=45
Answer: z=114
Hope this helps, I know I went into unecessary detail :)
15/30= 1/2
2/4=1/2
The answer is B
Answer: the probability is 0.25
Step-by-step explanation:
We have 10 numbers:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Of those, the odd ones are:
1, 3, 5, 7, 9
So we have 5 odd numbers.
The probability that the outcome is an odd number is equal to the number of odd numbers divided the total number of numbers:
p = 5/10 = 0.5
For the second spin the probability is the same, p = 5/10, because the first outcome does not affect the results of the second spin.
The probability of spining an odd number both times, then is the joint probability for two times this same event:
P = (5/10)(5/10) = 0.5*0.5 = 0.25
or 25% in percent form
The answer is -1. This is because you can plug in the negative values to see which ones work.
