Answer:
20
Step-by-step explanation:
To find Hypotenuse: Pythagorean Theroem
a^2+ b^2= c^2
The legs are A and B
The side that is directly across from the Right angle is C
12^2 + 16^2 =C^2
144+256=400
400 = c^2
Square root on both sides to get rid of c^2
The square root of 400 is 20
c=20
In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .
First we have to find the relationship between those two angles .
And these angles are vertical opposite angles which are congruent .
Therefore


Therefore measurement of angle USW is

Answer:
A is 1 and b is 12
Step-by-step explanation:
25 + _0.10__*25
25 + __2.5___
In the 1st blank, the answer is 0.1 or 0.10 because you have to change percents to decimals to find the raise. 10% as a decimal = 0.1 or 0.10
In the 2nd blank, the answer is 2.5 because on the top, it's 0.1*25, which equals 2.5, and 2.5 is the raise. All you have to do is multiply 10%, or 0.1, by 25, and you get 2.5.
Hope this helped☺☺
Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

Our test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
In this problem, we have that:

Then



The value of the test statistic is 