Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other? The length of SP, PQ, RQ, an
2 answers:
Answer:
Step-by-step explanation:
Given is a square PQRS. Its diagonals are PR and QS.
To prove that PR is perpendicular to QS
We have been given as
SP = PQ =RQ =SR =5.
Using Pythagorean theorem we have
both diagonals will equal
If P is the origin, (say) then coordinates of vertices would be (0,0) (5,0) (5,5) and (0,5)
Mid point would be (2.5,2.5) for both
Slope of RP = change in y coordinate/change in x coordinate
= 1
Slope of QS = 5/-5 = -1
Product of the two slopes = -1
Hence the two diagonals are perpendicular
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Answer:
99% CI:
Step-by-step explanation:
We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.
First, we have to estimate the standard deviation
The MSE can be calculated as
The weighted sample size nh can be calculated as
The standard deviation then becomes
The z-value for a 99% confidence interval is z=2.58.
The difference between means is
Then the confidence interval can be constructed as