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?

∠X ≅ ∠C
△ABC ~ △ZYX by the SAS similarity theorem.
∠B ≅ ∠Y
△ABC ~ △ZYX by the SAS similarity theorem.
StartFraction A C Over X Y EndFraction = 2
△ABC ~ △ZYX by the SSS similarity theorem.
StartFraction Z X Over A C EndFraction = 2
△ABC ~ △ZYX by the SSS similarity theorem.

Given: and prove: what is the missing reason in the proof? given transitive property alternate interior angles theorem converse alternate interior angles theorem

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

In the diagram, the ratios of two pairs of corresponding sides are equal to prove that almn - axyz by the sas similarity theorem, it also needs to be shown that x 6 z un z zz un = 2x zləzz lezy