∠ABC and ∠CBD are a linear pair. If m∠ABC = m∠CBD = (3x − 9)°, find x.

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.

Which is the best estimate of the product of 0.9 x 0.88? 0 0.25 0.5 1

Determine the lengths of the sides of the rectangle using the given area. give answers both exactly and approximately (to the nearest tenth). the area of the rectangle is 46 cm2.