A builder is putting in a circular patio. Find the circumference by using 22/ 7 as an estimate for . What is the circumference if the radius is 5 yards.

110/7 yards

Step-by-step explanation:

Given:-

- The radius of circular patio, r = 5 yards

Find:-

What is the circumference of circular patio

Solution:-

- The circumference "C" of a circle is given as:

- The circumference of the circular patio is 110 / 7 yards.            

∠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.

y > 1/3x

y < = -x + 4

hope this : )