Answer:
120 degrees
Step-by-step explanation:
Remember that the interior angles of a triangle always add up to 180 degrees. We know that two of the angles (45 and 15) add up to 60 degrees. Now we just have to subtract the 60 degrees we have from the 180 degree total in order to get the measure of the missing angle.
180 - 60 = 120
Therefore... the answer is 120 degrees
Answer:
Triangle x = 30. Pentagon x = 50
Step-by-step explanation:
For the triangle,
Find the angle which is beside x in the triangle,
let's name that angle y, so 55 + 55 + y = 180 ( we find 55 by subtracting both angles 125 from 180)
110 + y = 180
Y = 180 - 110
y = 70
Now that we have find Y, we can easily find x by subtracting 70 from 180 which would be, 70 + X = 180
x = 180 - 70
x = 30
For the pentagon,
Again find the angle which is beside x in the pentagon,
let's name that y again, 90 + 120( by subtracting 60 from 180) + 110( by subtracting 70 from 180) + 90 + y = 540
210 + 200 + y = 540
410 + y = 540
y = 540 - 410
y = 130
Now that we have find y, we can easily find x by subtracting 130 from 180 which would be, 130 + x = 180
x = 180 - 130
x = 50
Hope this helps!
Answer:
40%
Step-by-step explanation:
From the given statements:
The probability that it rains on Saturday is 25%.
P(Sunday)=25%=0.25
Given that it rains on Saturday, the probability that it rains on Sunday is 50%.
P(Sunday|Saturday)=50%=0.5
Given that it does not rain on Saturday, the probability that it rains on Sunday is 25%.
P(Sunday|No Rain on Saturday)=25%=0.25
We are to determine the probability that it rained on Saturday given that it rained on Sunday, P(Saturday|Sunday).
P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75
Using Bayes Theorem for conditional probability:
P(Saturday|Sunday)=
=
=0.4
There is a 40% probability that it rained on Saturday given that it rains on Sunday.
