5q greater than or equal to 8q -3/2

5q ≥ 8q - 3/2

Add 3/2 to both sides.

3/2 + 5q ≥ 8q

Subtract 5q from both sides.

3/2 ≥ 3q

Multiply both sides by 2.

3 ≥ 6q

Divide both sides by 6.

0.5 ≥ q.

The value of q is less than or equal to 0.5.

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.