The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:

step statements reasons
1 segment uv is parallel to segment wz given
2 points s, q, r, and t all lie on the same line. given
3 m∠sqt = 180° definition of a straight angle
4 m∠sqv + m∠vqt = m∠sqt angle addition postulate
5 m∠sqv + m∠vqt = 180° substitution property of equality
6 m∠vqt + m∠zrs = 180° same-side interior angles theorem
7 substitution property of equality
8 m∠sqv + m∠vqt − m∠vqt = m∠vqt + m∠zrs − m∠vqt
m∠sqv = m∠zrs subtraction property of equality
∠sqv ≅ ∠zrs definition of congruency

what is the missing statement for step 7?
m∠sqv + m∠vqt = 180°
m∠vqt + m∠zrs = 180°
∠sqv + m∠vqt = m∠vqt + m∠zrs
m∠sqv + m∠sqt = 180°

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05

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;

what is the rest of the question? ?