The perimeter of a rectangular garden is 306 feet. If the length of the garden is 99 feet, what is its width? feet
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The width of the garden is 99 feet.

Step-by-step explanation:

Given: The perimeter is 306 ft.

Given: the length of the garden is 99 ft.

Step 1: Because the garden is rectangular and so 2 of its sides are the lengths, we must multiply 99 by 2. 99x2=108.

Step 2: To find out the 2 remaining sides of the garden (the widths), we must subtract the perimeter by the lengths. 306-108=198.

Step 3: Because there are 2 sides which are the widths, we know that they are each equal and add up to 198. To find out how long the width is, we must divide the 2 widths by 2. 198/2=99.

So, the width of the garden is 99 feet.

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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.