If a diameter intersects a chord of a circle at a right angle, what conclusion can be made?
2 answers:
Answer:
The chord is bisected.
Step-by-step explanation:
see the attached figure to better understand the problem
In the circle of the figure
The diameter is the segment DE
The chord is the segment AB
PA=PB=r ----> radius of the circle
Triangles PAC and PBC are congruent right triangles by SSS
Because
PA=PB
PC is a common side
AC=BC ----> Applying Pythagoras Theorem
therefore
The chord AB is bisected
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Answer:
And the best answer on this case would be:
b) m = 4.635
Step-by-step explanation:
Let X the random variable of interest and we know that the confidence interval for the population mean is given by this formula:
The confidence level on this case is 0.9 and the significance
The confidence interval calculated on this case is
The margin of error for this confidence interval is given by:
Since the confidence interval is symmetrical we can estimate the margin of error with the following formula:
Where Upper and Lower represent the bounds for the confidence interval calculated and replacing we got:
And the best answer on this case would be:
b) m = 4.635