We are given a? + b2 = c2 for ABC and right
ADEF constructed with legs a and b and hypotenuse
n. Since ADEF is a right triangle, we know
that a² + b2 = n2 because of the
V. By substitution, c? = n2 Using
the square root property and the principle root, we can
take the square root of both sides to get
c=n. By
M. triangles
ABC and DEF are congruent. Since it is given that
F is a right angle, then 2 is also a right angle by
CPCTC. Therefore, ABC is a right triangle by

The long jump record, in feet, at a particular school can be modeled by f(x) = 19.6 + 2.5ln(x + 1) where x is the number of years since records began to be kept at the school. what is the record for the long jump 11 years after record started being kept? round your answer to the nearest tenth.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Mama mia restaurant used 1 2 2 1 ? of their mozzarella cheese making pizza and the remaining 6 4 64 ounces making pasta. how many pounds of mozzarella cheese did mama mia start with?