Abigail wrote the statements shown in the chart. statement. description. 1. if two lines intersect, then exactly one plane contains both lines.. 2. if a point lies outside a line, then exactly one plane contains both the line and the point.. . which option best classifies abigail’s statements? . a) statement 1 and statement 2 are postulates because they are true facts. b) statement 1 and statement 2 are theorems because they can be proved with the of appropriate postulates. c) statement 1 is a theorem because it can be proved and statement 2 is a postulate because it can be proved

The correct answer is:

B) Statement 1 and Statement 2 are theorems because they can be proved with the help of appropriate postulates.

Explanation:

Statement 1 is the Line Intersection Theorem. To prove this, we use postulates about having only one plane passing through any 3 noncollinear points. We would choose two points from one line and one point from the second; they would be non-collinear points and be in one plane. This also works choosing the points the opposite way.

Statement 2 is the Point and Line Contained in Plane Theorem. Again, if two lines intersect, we can choose three points to define a plane. We have to prove that both lines are in the plane. We rely on previously proven postulates to do this.

A circle with circumference 18 had an arc with 120 central angle.

=> Radius of that circle: R = 18/(2 x pi) = 2.86

=> Length of that arc: L = R x 120 x pi/180 = 2.86 x (2/3) x pi = 5.99

Hope this helps!

:)