Five students received the same text message at 9:00 AM.
Each of them sent the message to 5 more students at
10:00 AM. Each of those students sent the message to
5 more students at 11:00 AM.
5 Represent the situation with exponential expressions.
Simplify the expressions.
Time That Message
Is Received
Number of Students Receiving
Text Message
9:00 AM
51 = 5
10:00 AM
11:00 AM
6 If the pattern continues, how many students will
receive the text message at noon? Explain how to
use the pattern to find the answer.
Answer both please

∠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.

3.how is solving radical equations different than solving linear equations?

step-by-step explanation: