John Honest created the following table to determine the asset value per share and the number of shares purchased (to the nearest tenth) given different loading charges for a $4,000 investment. Some answers will be used more than once. A (in millions) B (in millions) C D E F G
Total Market Value Total Shares Issued Value Per Share Amount Invested Charge D minus E Shares Purchased
$47 2 $
$4,000 $250 $

$25 4 $
$4,000 $250 $

$31 3 $
$4,000 $250 $

$12 12 $
$4,000 $300 $

$90 18 $
$4,000 $300 $

$26 3 $
$4,000 $300 $

$84 22 $
$4,000 none $

$32 5 $
$4,000 none $

$25 3 $
$4,000 $275 $

$27 3 $
$4,000 $275 $

∠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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the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.

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