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D. a║b, because if two lines are perpendicular to the same line, then they are parallel to each other.

Step-by-step explanation:

This is more of a rule than anything else, but to prove this, you can think of c as the transversal. The 4 angles at the intersection of line a and line c are 90 degrees, and so are the 4 angles at the intersection of line b and line c. Using the converses of the Corresponding Angles Theorem, Same Side Interior Angles Theorem, Alternate Interior Angles Theorem, etc.., you can prove that a and b are parallel.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.