Considerate of these three numbers express and scientific notation 8.2×10 to the -3rd power 5.2×10 to the $96 and 4.1 times since I'm -6 hours which number is the greatest invite how many times does it rather than smallest number

is the greatest

2000 times greater

Step-by-step explanation:

Given

Solving (a): The greatest of the numbers

First, we convert them to decimals:

By comparing the decimal numbers, the highest is: 0.0082.

Hence,

is the greatest

Solving (b): How many times greater than the smallest

In (a) above:

The greatest is:

By comparing the decimal numbers,

The smallest is: 0.0000041 i.e.

The number of times the greatest is greater than the smallest is:

Hence, it is 2000 times greater

∠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.

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.