Players in sports are said to have "hot streaks" and "cold streaks." for example, a batter in baseball might be considered to be in a slump, or cold streak, if that player has made 10 outs in 10 consecutive at-bats. suppose that a hitter successfully reaches base 3636% of the time he comes to the plate. complete parts (a) through (c) below. (a) find the probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events. hint: the hitter makes an out 6464% of the time. p(hitter makes 10 consecutive outs)equals=. 01153.01153 (round to five decimal places as needed.) (b) are cold streaks unusual? the probability of a cold

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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.

step-by-step explanation: