Aclock is constructed using a regular polygon with 60 sides. the polygon rotates every minute. how much has the polygon
rotated after 7 minutes?
14
21
35

In 7 minutes, the clock has rotated 42 degrees

Solution:

Given, A clock is constructed using a regular polygon with 60 sides.  

The polygon rotates every minute.  

As there will be 60 minutes in clock, and this clock has 60 sides, each minute represents a side.  

Now we know that, in a clock, 1 hour = 60 minutes

60 minutes = 360 degrees

Then, 7 minutes = “n” degrees

So, by criss cross multiplication,

Hence, in 7 minutes, the clock has rotated 42 degrees

do you mean add both of the equations together

because if you do the answer is 10x-5

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.