Please answer this correctly

593

Step-by-step explanation:

3.14 × = 907.46

3.14 × = 314

907.46 - 314 = 593.46

 593.46 mm²

Step-by-step explanation:

The diameter of the big circle is 2(7) + 20 = 34

divide the diameter by 2 to get the radius (r) = 17

           Area = π·r²

                    = π(17)²

                    = 289 π

The diameter of the big circle is 20

divide the diameter by 2 to get the radius (r) = 10

           Area = π·r²

                    = π(10)²

                    = 100 π

The area of the shaded region is the difference between the area of the big circle and the area of the small circle.

                  = 289 π - 100 π

                  = 189 π

                  = 189(3.14)

                  = 593.46

vbbv

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.