Mathematics, 25.09.2021 14:00 person779

Please answer this please

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Answer from: babykate66

Step-by-step explanation:

1. x² + 4 = (x+2)² : x² + 4 = x² + 4 (Yes)2. (2x+6)²= 4(x+3)² : 4x²+36 = 4x² + 36 ( Yes)3. (x-3)(x-3)= (x-9)² (NO)beacause , True statement is (x+3)(x-3)= (x-9)²4. x²-10x+25 = (x-5)(x+5) (No) : x²-2x+y² = (a-b)(a+b) Therefore, its not true statement!

Answer from: Quest

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step-by-step explanation:

Answer from: Quest

∠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.

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