Answer:
x<3
Step-by-step explanation:
Every triangle has an angle measure of 180 degrees.
so 42+20+x (where x is the measure of the third angle)=180
Combine like terms.
62+x=180
Subtract 62 from both sides
x=118.
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
Answer:
We have the magnitude, M, and the angle A.
(The angle is always measured from the +x-axis)
Then we have that:
x = M*cos(A)
y = M*sin(A)
in this case:
M = 9m
A = -80°
x = 9m*cos(-80°) = 1.562
y = 9m*sin(-80) = -8.86m
Now, the component parallel to the x axis is:
x = 9m*cos(-80°) = 1.562 m
And the slope of something parallel to the x-axis is always zero, as this is a constant line.
Answer:
1/5 hours i.e 0.2 hours (which is 12 mins)
Step-by-step explanation:
First note that 12 1/2 = 12.5, and 2 1/2 = 2.5.
To work out how many hours it takes hime to drive one mile, we divide the number of hours (2.5) by the number of miles (12.5),
i.e 2.5 ÷ 12.5
which equals 1/5 = 0.2 hours (= 12 mins).
