Heolp ASA Suppose three riders rode a total of 182 miles. If they used a total of 13 horses, and rode each horse the same number of miles, how many miles did they ride before replacing each horse?
HELP NOW

They rode

miles before replacing each horse.

14 miles

Step-by-step explanation:

182/13 = 14 miles

Assuming each horse was only ridden once

then a total of 16 horses were ridden for a total of 182 miles

182 miles /13  horses  = 14  miles  horse

Of course, if each horse was ridden more than once before being replaced the distance between replacements could be reduced.

Note that the fact that there were 3 riders is irrelevant.

∠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.