Josh wants to find the total distance of the Triangle Triathlon race course. Question a: Write a proportion comparing the corresponding parts of similar right triangles to find the distance from checkpoint A to checkpoint B.

Question b: Using the information from part A write one equation to find the total distance of the Triangle Triathlon race course.

Question c: Josh's little brother is waiting for him at the lake for the swim portion of the Triathlon. He is sailing a toy sailboat on the lake. A diagram of the sailboat is shown. How tall is the mast (pole of the boat) on the sail boat?

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step-by-step explanation:

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∠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.

answer: haha (: i’ll go see what it is

step-by-step explanation: