Answer:
Step-by-step explanation:
It is important to remember that, by definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
In this case we can idenfity that the angle 
is an exterior angle of the triangle QRT. Then:
Where:
Substituting values and solving for "x", we get:
Then:
The sum of the interior angles of a triangle is 180°, therefore:
Solving for 
, we get:
Good day ~_~ /////////////
Answer:
x=3
Step-by-step explanation:
5x + 4 = 19
-4 -4
5x = 15
/5 /5
x = 3
Answer:
The 95% confidence interval based on this sample is =
[6.41, 7.79]
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × standard deviation/√n
Sample mean = 7.1 hours
Standard deviation = 5 hours
n = 200 students
z = 95% confidence interval z score
= 1.96
C.I = 7.1 ± 1.96 × 5/√200
C.I = 7.1 ± 0.693
Hence, Confidence Interval
= 7.1 - 0.693
= 6.407
Approximately = 6.41
= 7.1 + 0.693
= 7.793
Approximately = 7.79
Therefore, the 95% confidence interval based on this sample is
[6.41, 7.79]
y=-2
Step-by-step explanation:
if line has zero slope (b) it means that b is undefined.
if x=0 y=-2 because line has no slope. so b=-2
y=-2
