You work for a furniture moving company. your boss sends you to the hardware store to buy tie down rope. he tells you to buy the best deal. what is the best deal on rope? a) 10 feet for $7.00 b) 20 feet for $13.00 c) 50 feet for $28.00 d) 100 feet for $57.50

Option C- 50 feet for $28.00 is the best deal because it offers rope $0.56 per feet.

Step-by-step explanation:

To know what is the best deal on rope, we calculate the price for 1 feet rope from the given deals.

A) 10 feet for $7.00

1 feet = 7.00 ÷ 10 = $0.70

B) 20 feet for $13.00

1 feet = 13.00 ÷ 20 = $0.65

C) 50 feet for $28.00

1 feet = 28 ÷ 50 = $0.56

D) 100 feet for $57.50

1 feet = 57.50 ÷ 100 = $0.575

Option C) 50 feet for $28.00 offers lowest price, so this is the best deal.

The best deal is "50 feet for $28.00"

C is correct

Step-by-step explanation:

We need to buy tie down rope for moving furniture.

We have to choose best deal from four option.

We are given length of rope and price of rope.

We can identity best deal if we know the price of rope per feet.

So, first we change each option into per feet.

Option A)  10 feet for $7.00

Price of 10 feet rope = $7

Price of  1 feet rope  = $0.70

Option B) 20 feet for $13.00

Price of 20 feet rope = $13.00

  Price of 1 feet rope = $0.65

Option C) 50 feet for $28.00

Price of 50 feet rope = $28.00

  Price of 1 feet rope = $0.56

Option D) 100 feet for $57.50

Price of 100 feet rope =  $57.50

   Price of 1 feet rope = $0.5750

Now, we arrange each per feet price and check best deal.

0.70 > 0.65 > 0.57 > 0.56

The minimum cost is $0.56

Hence, The best deal is "50 feet for $28.00"

∠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.

cluster sampling.

step-by-step explanation: