Draw a scaled copy of this polygon that has a perimeter of 30 units. what is the scale factor? explain how you know.

The scale factor is 3.

Step-by-step explanation:

Since,

∵ If sides of a polygon are changed by a scale factor 'a' then its perimeter is also changed by the same scale factor,

By the given drawing,

The actual perimeter of the polygon = 10 unit,

Also, the scaled perimeter = 30 units ( given )

Hence,

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours