As the total angle is a straight angle (its measure is 180 degrees), the angles GHL and LHK are supplementary angles (their meausres add up to 180 degrees)
to get the measure of angle LHK = 180 - 79 = 101 degrees
I hope that
helps!
Answer:
63 degrees
Step-by-step explanation:
The interior angle at M is the supplement of the exterior angle at M.
∠RMN = 180° -117° = 63°
Answer:
Yes, he is meeting his original goal to be successful.
The critical value is 1.833
Step-by-step explanation:
H0: mu = 300
Ha: mu > 300
The test is a one-tailed test because the alternate hypothesis is expressed using greater than.
Test statistic (t) = (sample mean - population mean) ÷ (sample sd/√n)
sample mean = 335
population mean = 300
sample sd = 50
n = 2×5 = 10
t = (335 - 300) ÷ (50/√10) = 35 ÷ 15.81 = 2.21
Degree of freedom = n-1 = 10-1 = 9
Significance level = 5%
Critical value corresponding to 9 degrees of freedom and 5% significance level is 1.833.
Conclusion:
Reject the null hypothesis because the test statistic 2.21 is greater than the critical value 1.833.
His original goal to be successful is contained in the alternate hypothesis, therefore, he is meeting it.
Draw a diagram to illustrate the problem as shown below.
Let v = speed of the westbound car, mph
Because the eastbound car travels 4 mph faster than the westbound car, its speed is (v+4) mph.
After 2 hours,
the westbound car travels 2v miles west, and the eastbound car travels 2(v+4) miles east.
Because they become separated by 208 miles, therefore
2v + 2(v+4) = 208
4v + 8 = 208
4v = 200
v = 50 mph
The westbound car travels at 50 mph.
The eastbound car travels at v+4 = 54 mph
Answer: The eastbound car travels at 54 mph.
Answer:
See explanation
Step-by-step explanation:
Hello, we cannot see the ellipse equations.
The eccentric of an ellipse is given by:

Assuming the equations are:

Then a²=25 and b²=16




The eccentricity is:

If the ellipse has equation,

then the this time, we have a=5 and b=3.
This means that:




