Answer:
The three angles of the triangle are 41°, 56° and 83°.
Step-by-step explanation:
The three angles of a triangle are given by 2x + 1, x and x + 15.
Now, we know the property of triangle, that 180° is the sum of all the angles of a triangle.
Hence, (2x + 1) + x + (x + 15) = 180°
⇒ 4x + 16 = 180
⇒ 4x = 164
⇒ x = 41°
So, 2x + 1 = 83° and x + 15 = 56°
Therefore, the three angles of the triangle are 41°, 56° and 83°.
Answer:
The 90% confidence level is 
Step-by-step explanation:
From the question we are told that
The sample size is 
The mean age is 
The standard deviation is 
Generally the degree of freedom for this data set is mathematically represented as
substituting values
Given that the level of confidence is 90% the significance level is mathematically evaluated as

10 %

Now 
Since we are considering a on tail experiment
The critical value for half of this significance level at the calculated degree of freedom is obtained from the critical value table as

The margin for error is mathematically represented as

substituting values


he 90% confidence interval for the true average age of all students in the university is evaluated as follows

substituting values


The answer is 36°
Hope that helps, Good luck! (:
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Answer:
2x + y = 17
-6x = 3y - 51
Step-by-step explanation:
You get an infinite number of solutions when two equations are really just the same. This means you can convert one into the other simply by multiplying one to get the other.
In the above answer, if you multiply the above by -3 you get:
-6x -3y = -51
which is of course -6x = 3y - 51
So that is an example of a pair that has infinite solutions.
To find all of them, you'd carefully have to compare each 2 and see if there is a multiplier to convert one into the other. You can do that!