Maria drew two parallel lines kl and mn intersected by a transversal pq, as shown below:

two parallel lines kl and mn with pq as a transversal intersecting kl at point r and mn at point s. angle krs is shown congruen

which theorem could maria use to show the measure of angle krq is equal to the measure of angle psn? (1 point)

select one:
a. alternate exterior angles theorem
b. alternate interior angles theorem
c. same-side interior angles theorem
d. vertical angles theorem

Option b is correct.

Step-by-step explanation:

Given that Maria drew two parallel lines KL and MN intersected by a transversal PQ,

Two parallel lines KL and MN with PQ as a transversal intersecting KL at point R and MN at point S as shown in attachment.

we have to find which theorem could Maria use to show the measure of ∠KRQ is equal to the measure of ∠PSN

The two angles ∠KRQ and ∠PSN are the interior angles but on the different sides of transversal i.e these are alternate interior angles.

Hence,  Alternate Interior Angles Theorem could Maria use to show the measure of angle KRQ is equal to the measure of angle PSN.

Correct Option is b.

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;