The following statements describe a set of railroad tracks. Based only on the statement, make a conclusion about the rails or the railroad ties. Explain.

a. The railroad ties are each perpendicular to one rail.

b. The rails are parallel. One railroad tie is perpendicular to one rail.

Part 18) The railroad ties are parallel

Part 19) One railroad tie is perpendicular to both rails

Step-by-step explanation:

Part 18) The railroad ties are each perpendicular to one rail

we know that

if one line is perpendicular to several other lines, then the other lines are parallel

Conclusion:

If the railroad ties are each perpendicular to one rail then the railroad ties are parallel

That means> The slopes of the railroad ties are equal and they are opposite reciprocal of the slope of the rail

Part 19) The rails are parallel. One railroad tie is perpendicular to one rail

we know that

if two lines are parallel and another line is perpendicular to one of them, then this line is perpendicular to both lines

Conclusion:

If One railroad tie is perpendicular to one rail, then one railroad tie is perpendicular to both rails

That means ---> The slopes of the railroad ties are opposite reciprocal to the slope of the rail

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it