estimate the value of \sqrt(14)+\sqrt(3) to the nearest hundredth.
a. 3.79
b. 5.47
c. 2.01
d. 4.12

B.

Step-by-step explanation:

Let's figure out what two consecutive integers is 14 between.

We also need to do this for 3.

14 is between 9 and 16 which means is between and .

3 is between 1 and 4 which means is between and .

So 14 is closer to 16 which means is closer to 4.  Let's say

So 3 is closer to 4 which means is closer to 2. Let's say .

So now we do 3.7+1.8=5.5.

The answer that is closet to this is 5.47.

Now if we put in our calculator we get:

3.74+1.73=5.47

∠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.