General motors stock fell from 32$ per share in 2006 to 20$ per share during 2008. a) if you bought and then sold 300 shares all these prices what was your loss b) exress your loss as a percent of the purchase price

Step-by-step explanation:

total purchase price = 32*300 = 9600

total selling price = 20*300 = 6000

Net capital loss =total purchase price- total selling price =9600-6000 =  3600. Purchase price of one share is 32

Selling price of one share is 20

Number of shares bought are 300                                                                           Net % loss = (3600*100)/9600=37.5%

∠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.