By Pythagoras AB^2 = 12^2 - 6^2 = 108
AB = sqrt 108 = 10.39 to nearest hundredth
The perpendicular from M to DC will be parallel and equal to AB so it = 10.39.
Also AB^2 = CB * DB
108 = 6 * DB
DB = 108/6 = 18
so DC = 18-6 = 12
MD^2 = (1/2*12)^2 + 108 = 144
so MD = 12
Answer:
option C is the correct answer my friend
Since the cross section is constrained to be perpendicular to the base, the shape of it is constrained to be a ...
Rectangle
_____
That rectangle may be a square, but is not required to be.
Answer: Right (Last option)
Step-by-step explanation:
As you can see in the figure, the parallel lines AD and GJ are intersected by two lines.
The line EL intersects the parallel lines and there are two angles that are formed by this intersections which are located on the exterior of AD and GJ, but on opposite sides of EL, (these angles are called "Alternate exterior angles" and they are congruent), which are:
∠LHJ and ∠EBA
You can observe that the angle ∠EBA is indicated with a square. This means that the measure of that angle is 90° (Right angle).
Therefore, if ∠EBA=90°, then ∠LHJ =90°
Step-by-step explanation:
c=144°(vertically opposite angle)
b+c=180°(straight angle)
b+144=180
b=180-144
b=36°