Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfiction works. also, 40 of the male authors write only nonfiction works. assuming that your library has only one book by each author, what is the probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man? a. 3/5 b. 58/165 c. 25/33 d. 2/5

C. 25/33
Explanation: if 60% of the authors are male thanks means 99 are male and the remaining 66 are women. 40% of the authors (male and female) write nonfiction only which is 66. 40 of this are males so the remaining 26 are females. Work written by an author who writes only nonfiction is 66 and work written by man is 99. However male authors who write only nonfiction are already counted in the 99 male authors so to find the probability you gotta add the number of female authors that write nonfiction to the number of male authors which is 99+ 26= 125. Then you put that over the total amount of authors which is 125/165 and simplify which is —> 25/33

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.