Find the area of shaded region. round to the nearest tenth.

angle is 100 degrees

r= 8.35 ft

The solution is  192.83 ft²

Step-by-step explanation:

We need to find out the shaded region of the provided figure

Area of sector calculated as and

Area of triangle is calculated as

Area of circle is calculated as

Where r is radius

so,

Area of sector is

Area of triangle is

Area of circle is  

Area of segment = area of sector - area of triangle

                             =   60.81 - 34.16

                             =    26.09 ft²

Area of shaded region = area of circle - Area of segment

                                       = 218.92 - 26.09

                                       = 192.83 ft²

Therefore, the solution is  192.83 ft²

∠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.

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3