Amap of australia has a scale of 1 cm : 110 km. if the distance between darwin and alice springs is 1444 kilometers, how far apart are they on the map, to the nearest tenth of a centimeter?

Distance between Darwin and Alice Springs on map to the nearest tenth is 13.13 cm.

Step-by-step explanation:

Given : A map of Australia has a scale of 1 cm : 110 km.

To Find :. If the distance between Darwin and Alice Springs is 1444 kilometers, how far apart are they on the map, to the nearest tenth of a centimeter?

Solution:

Distance between Darwin and Alice Springs = 1444 kilometers

Since 110 km = 1cm

So, 1 km =

1444 km =

1444 km =

Distance between Darwin and Alice Springs on map is 13.127 cm

Distance between Darwin and Alice Springs on map to the nearest tenth is 13.13 cm.

∠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.

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !