In ΔUVW, U W ‾ UW is extended through point W to point X, m ∠ V W X = ( 7 x + 10 ) ∘ m∠VWX=(7x+10) ∘ , m ∠ W U V = ( 2 x + 20 ) ∘ m∠WUV=(2x+20) ∘ , and m ∠ U V W = ( 2 x + 17 ) ∘ m∠UVW=(2x+17) ∘ . Find m ∠ V W X . m∠VWX.

Given this information, which expression must represent the value of b?

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2