Type the correct answer in each box. If an answer is not an integer, express it as a decimal number.

Frank has constructed a tent in the shape of a square pyramid.

The peak of the tent is at 30 feet and is at a horizontal distance of 20 feet from the left edge. The height of the tent varies at a rate of 1.5 feet
with the horizontal distance from the left edge.

The equation that models the height of the tent, h, in feet, with respect to the horizontal distance in feet from the left edge, d, is h= ? |d-?| + ? . The height of the tent is 22.5 feet at a horizontal distance of ? feet from its left edge.

Question marks are blanks needed to be filled in.

∠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.

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step-by-step explanation:

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step-by-step explanation: