Missi designed a stained glass window and made a scale drawing using centimeters as the unit of measurement. she originally planned for the length of the window to be 44 in. but decided to change it to 48 in. if the length of the window in her scale drawing is 4 cm, which statement about the change of scale is true? a)one cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale. b)one cm represented 44 in. in the first scale, but now 1 cm represents 48 in. in the second scale. c)one cm represented 1 in. in the first scale, but now 1 cm represents 1 in. in the second scale. d)one cm represented 12 in. in the first scale, but now 1 cm represents 11 in. in the second scale.

The correct answer is option A,

One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale

Step-by-step explanation:

The earlier planned length was

So the scale of the map was

The second planned length was

So the second scale of the map was

Thus, option A is correct.

∠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.

too hard the other guy did it

step-by-step explanation: