The tens digit of a two digit number is twice the ones digit. if the digits are reversed, the new number is 36 less than the original number. find the number.

84

Step-by-step explanation:

The tens digit can be 8, 6, 4, or 2 since the ones digit can only be a whole number, so that means it can only be 4, 3, 2, or 1.

If we try all possible combinations (84, 63, 42, 21) and subtract 36 from them, you will find the answer is 84. (84 - 36 = 48)

1 is c

2 is a

3 is a

step-by-step explanation:

∠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.