Identify the paragraph proof for the two-column proof. Given: m∠d=125° and m∠r=125°
Prove: ∠d≅∠r
Two-Column Proof

1. m∠d=125° (Given)
2. m∠r=125° (Given)
3. m∠d=m∠r (Trans. Prop. of = )
4. ∠d≅∠r (Def. of ≅∠s)

Options : It is given that m∠d = 125° and m∠r = 125°. By the Additive Property of Equality, m∠d = m∠r. By the definition of complementary angles, ∠d ≅ ∠r.
It is given that m∠d = 125° and m∠r = 125°. By the Multiplication Property of Equality, m∠d = m∠r. By the definition of supplementary angles, ∠d ≅ ∠r.
It is given that m∠d = 125° and m∠r = 125°. By the Transitive Property of Equality, m∠d = m∠r. By the definition of congruent angles, ∠d ≅ ∠r.
It is given that m∠d = 125° and m∠r = 125°. By the Division Property of Equality, m∠d = m∠r. By the definition of congruent angles, ∠d ≅ ∠r.

f(x) = y

f(-3) = -5

step-by-step explanation:

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;

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076