Which steps will verify that a parallelogram is a rectangle? check all that apply.
calculate the lengths of the diagonals, and show that they are equal.
calculate the lengths of all sides, and show that both pairs of opposite sides are congruent.
calculate the slope of each diagonal, and show that the lines are perpendicular.
calculate the midpoints of each diagonal, and show the diagonals bisect each other.
calculate the slopes of every side, and show that adjacent sides are perpendicular.

Answer;

-Calculate the lengths of the diagonals, and show that they are equal.

-Calculate the slopes of every side, and show that adjacent sides are perpendicular.

Explanation;

-A parallelogram is a quadrilateral with 2 pairs of opposite, equal and parallel sides. If the diagonals of a parallelogram are congruent, then it’s a rectangle and also if a parallelogram contains a right angle, then it’s a rectangle.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;