In one private college there are 100 students. Out of them 60 students had taken critical thinking course and 40 students had taken English course. The number of students who
had taken both courses is 12. Then find :
a. The number of students who had taken critical thinking only.
b. The number of students who had taken neither critical nor English

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

Using the figure below, select the two pairs of alternate interior angles.a: point 1 and point 4 b : point 2 and point 3 c: point 6 and point 6d: point 5 and point 7

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?