Below are statements that can be used to prove that the triangles are similar. On a coordinate plane, right triangles A B C and Z Y X are shown.
1. StartFraction A B Over Z Y EndFraction = StartFraction B C Over Y X EndFraction = 2

2. ∠B and ∠Y are right angles.

3.?

4.?

Which two statements are missing in steps 3 and 4?

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

The average length of a king cobra is 3.7 m. the record length is 1.88 m longer than the average. how long is the record holder?

Rose and andrew are financing $128,000 to purchase a condominium. they obtained a 15-year, fixed-rate loan with a rate of 5.05%. they have been given the option of purchasing up to four points to lower their rate to 4.81%. how much will the four points cost them?