Answer:
The correct option is;
Yes, the line should be perpendicular to one of the rectangular faces
Step-by-step explanation:
A perpendicular cross-section of a triangular prism resting on a rectangular face will have a triangular cross-section section an either side of the line of the cross-section, therefore we have;
Given that the triangular prism is lying on one of the rectangular faces, the perpendicular cross-section will be represented by a line drawn along the slant height of the triangular prism, therefore the correct option is yes, the line should be perpendicular to one of the rectangular faces.
Answer:
8763
Step-by-step explanation:
Let x represent the number of students the college had last year. Then this year's enrollment is ...
... x - 3%·x = 8500
... x(1 - 0.03) = 8500 . . . . . collect terms
... x = 8500/0.97 ≈ 8762.89 . . . . divide by the coefficient of x
Enrollment last year was about 8763.
_____
Of course, you know 3% = 3/100 = 0.03.
Answer:
<em>The shortest possible length for the service road is 2.88 miles.</em>
Step-by-step explanation:
According to the below diagram,
and
are the positions of airport, shopping center and factory respectively.
Given that,
and 
In right triangle 

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is
.
That means,
is also a right triangle in which
, Hypotenuse
miles and
is the opposite side in respect of
or
.
Now in right triangle 

So, the shortest possible length for the service road is 2.88 miles.
Answer: 
Step-by-step explanation:
You need to analize the information provided in the exercise.
Observe the given figure.
You know that the line AC and and the line BD are parallel and they are cut by a transversal.
By definition, the pair of angles created by this intersection and are located inside the parallel lines and on opposite sides of the transversal, are called "Alternate Interior Angles".
Alternate Interior Angles are congruent, which means that they have equal measure.
Knowing this, you can identify that the angle "p" and the angle "n" are Alternate Interior Angles, therefore:
