Which of the following are necessary when proving that the diagonals of rectangle are congruent? Check all that apply. \( \square \) A. All right angles are congruent. \( \square \) B. Opposite sides are perpendicular. \( \square \) C. Opposite sides are congruent. \( \square \) D. All obtuse angles are congruent.

Calculate the size of angle \( \theta \) to the nearest degree. a) \( \cos \theta=0.866 \) \( \theta= \)

When studying radioactive material, a nuclear engineer found that over 365 days, \( 1,000,000 \) radioactive atoms decayed to 973,521 radioactive atoms, so 26,479 atoms decayed during 365 days a. Find the mean number of radioactive atoms that decayed in a day b. Find the probability that on a given day, 51 radioactive atoms decayed. a. The mean number of radioactive atoms that decay per day is 72.545 (Round to three decimal places as needed.) b. The probability that on a given day, 51 radioactive atoms decayed, is (Round to six decimal places as needed)

b) \( \tan \theta=1.732 \) \( \theta= \)

\( \left. \begin{array} { l l l } { 715 } & { 437 } & { 102 } \\ { 306 } & { 154 } & { 237 } \end{array} \right. \)

Es correcto afirmar que 4 es a 5 como 20 es a 25. Verdadero \( \bigcirc \) Falso