A student solved z + (-0.72) = -2.5 for z using the following steps. Step 1: z + (−0.72) + (−0.72) = −2.5 + (−0.72) Step 2: z = −2.5 + (−0.72) Step 3: z = −3.22 What was the student’s error?
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The student added the same thing instead of the opposite to each side

Add .72 to each side to make -.72 become 0 on the left -2.5 to become -1.78 on the right

Step-by-step explanation:

z + (-0.72) = -2.5

Add . 72 to each side

z + (-0.72) + .72 = -2.5 +.72

z = -1.78

pls ask

∠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.