How can you prove a triangle is a right triangle? (4 points) use the distance formula to see if at least two sides are congruent. use the slope formula to see if any sides are perpendicular. use the distance formula to see if all three sides are congruent. use the slope formula to see if any sides are paralle

Let's see what the answer choices mean with respect to the requirement to prove a triangle is a right triangle.

a) two sides are congruent: the triangle is isosceles, but not necessarily a right triangle.

b) two sides are perpendicular: the triangle must be a right triangle.

c) three sides are congruent: the triangle is equilateral so is definitely not a right triangle.

d) sides are parallel: the figure cannot be a triangle.

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The appropriate choice is the second one ...

... Use the slope formula to see if any sides are perpendicular.

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;

rotation point l

step-by-step explanation: