a playground is rectangular with a length of 1/2 mi if the area of the playground is 5/8 square miles what is its width and put your answer as a fraction

b = 5/4 miles

Step-by-step explanation:

Length of a rectangular playground, l = 1/2 miles

Area of the playground, A = 5/8 square miles

We need to find the width of the playground. We know that, the area of a rectangular shape is given by :

A = l×b, here b is the width of the playground.

So, the width of the playground is 5/4 miles.

11 feet 6 inches and 8 feet 6 inches

∠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.