In ΔDEF, \overline{DF}

DF

is extended through point F to point G, m∠DEF = (x+11)^{\circ}(x+11)

∘

, m∠FDE = (x+11)^{\circ}(x+11)

∘

, and m∠EFG = (4x-4)^{\circ}(4x−4)

∘

. What is the value of x?

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.

Write a function that matches the description. a cosine function has a maximum of 5 and a minimum value of -5. f (r) =

What are the solutions of the system? solve by graphing. y = x^2 + 3x + 2 y = 2x + 2