Which statement justifies why ∠fbe measures 50°? given: angles abd and dbc are complementary point b is on line ae between points a and e, point b is on line fd between points f and d, ray bc intersects with line ae at point b, line fd intersects with line ae at point b, the measure of angle abd is 50 degrees, and it is given that angles abd and dbc are complementary. a linear pair is two adjacent, supplementary angles. the sum of the measures of complementary angles is 90 degrees. if two angles are vertical angles, then they are congruent. alternate interior angles are congruent.

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.

If 1.4% of the mass of a human body is calcium, how many kilograms of calcium are there in a 165-pound man? 1.0 kg ca 5.1 kg ca 1.0 x 102 kg ca 5.1 x 102 kg ca

Arectangle plot measure 20ft. by 30ft. a 3-ft.-wide sidewalk surrounds it. find the area of the sidewalk.