Aperson is to install five devices each 6 and 7/8 inches wide with 3 1/2 inches between switches. how much space will be needed to mount these switches?

Step-by-step explanation:

we know that

To find out how much space will be needed to mount these switches, multiply the number of devices by the wide of each device plus the distance between switches multiplied by 4 (number of devices minus 1)

so

Convert mixed number to an improper fraction

substitute the values in the expression above

convert to mixed number

where is the triangle?

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.