Select the correct answer from each drop-down menu. ∆ABC and ∆DEF satisfy the AAA correspondence.
∆ABC and ∆DEF are always congruentare always noncongruentmay or may not be congruent. SAAS is not a criterion for congruency of any two triangles.

Find the number of positive three-digit even integers whose digits are among 9, 8, 7,5, 3, and 1.

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.