Notice the grid, the points are (-5, -2) and (4, -1), thus
Answer:
The measure of angle T is 135 degrees.
Step-by-step explanation:
Let's just say the measure of angles T and S are variables t and s.
So the equation would be...
t + s = 180
Since they are supplementary angles, they add up to 180.
Also, we know that t is 3 times s.
t = 3s
Now we can solve this system of equations.
Substitute 3s into t of the first equation.
3s + s = 180
4s = 180
s = 45
Then, since we know that the measure of angle t is 3 times the measure of angle s, we can just multiply 45 by 3 and find the measure of angle t.
45 * 3 = 135
t = 135
So the measure of angle t is 135.
*<em>Just copied from my previous answer, don't know why you needed it again but here you go.</em>
The tree diagram for the probability is shown below
P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.
This is a case of conditional probability.
The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)
P(Clay∩Positive) = 0.21×0.48 = 0.1008
P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767
Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)