Find the percent of change. Round to the nearest whole percent. The building was 36 feet tall. After the
addition, it was 95
feet tall.

56.05%

Step-by-step explanation:

your welcome

164%

Step-by-step explanation:

The original value is 36 feet

The new value is 95 feet

The increase is (95 - 36) 59 feet

The percent increase is (The increase divided by the original value multiplied by 100) (59 ÷ 36) × 100 = 163.9

∴ There was a 164 % increase

∠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.