In a plane line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b, which can not be true

Answer with explanation:

It is given that , in a Plane

→  Line B ║ Line F

→  Line G ║ Line F

Two lines parallel to the same line are parallel to each other.

⇒ Line G ║ Line F ║Line B

If there are two or more parallel lines in a plane, and a line is perpendicular to either any of the parallel lines, then that line is perpendicular to all the parallel lines.

→Also,it is given that,  Line H  ⊥  Line B.

∴Line H  ⊥  Line F.

∴Line H  ⊥  Line G.

⇒Line H can not be parallel to , line G or line F.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,