State the postulate, theorem, or property that would justify the following conclusion. for postulates type p1 or p2 for theorems type t1-1, or t1-2, or t1-3 for axioms or properties type the name beginning with "definition of." l is in plane m, x is on l conclusion: x is in the plane m.

One of the same side angles of two parallel lines is 20° smaller than the other one. find the measures of these two angles.

What is the x-intercept and y-intercept of the equation 2x+1. 2o

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.