< o and < m are congruent because opposite angles are congruent
3t - 15 = 2t + 10
3t - 2t = 10 + 15
t = 25
3t - 15 = 3(25) - 15 = 75 - 15 = 60...< m = 60
< m and < o are consecutive angles and they are supplementary....so they add up to 180
< m + < o = 180
60 + < o = 180
< o = 180 - 60
< o = 120
3s = 120
s = 120/3
s = 40
Solving the equation
we get value of p = -4
Step-by-step explanation:
We need to find the value of p in the equation 
Solving to find value of p:

So, solving the equation
we get value of p = -4
Keywords: Solving Equations
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Answer:
95 intervals
Step-by-step explanation:
Given that
population mean = 100
standard deviation = 15
number of interval that involve the mean for 95% confidence interval is calculated as
We know that when we measure the 99 percent confidence interval, 99 outof 100 confidence interval are required to provide the mean population.
similarly
Assuming we measure a confidence interval of 95 percent, then we should expect 95 out of 100 confidence interval to provide the mean population therefore, answer is 95
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Rational numbers are those numbers which can be written as p/q form or it must be non terminating but recurring number.
-13 can be written as p/q form as 
is a rational number because of its form.
81 can be written in p/q form as 
But √2 is non terminating and non recurring number.
Hence, √2 is not a rational number.
Therefore, Option 'A' is correct.
Answer:
Let's simplify step-by-step.
4x+1+17
Combine Like Terms:
=4x+1+17
=(4x)+(1+17)
=4x+18
Answer:
=4x+18