Respuesta :

Answer:

  • 50°
  • False
  • 2.8 units

Step-by-step explanation:

Q1

Interior angles of a triangle sum to 180°

  • ∠A + ∠B + ∠C = 180
  • 2x + 4x - 12 + x + 17 = 180°
  • 7x + 5° = 180°
  • 7x = 175°
  • x = 25°

m∠A = 2x = 2*25° = 50°

Q2

Points A, C and E are on the same plane S therefore they are coplanar but there is no evidence to show they are collinear (on the same line).

The answer is FALSE

Q3

Point (3, 3) is on the perpendicular line from the point P to line QR. The distance is the length of the segment from (1, 1) to (3, 3).

Use distance formula:

  • d = [tex]\sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]
  • d = [tex]\sqrt{(3 - 1)^2 + (3 - 1)^2}[/tex]
  • d = √8
  • d = 2.8 units