Baby born 7 lbs by 10 he was 84 lbs. Write a formula for his weight as a linear function.

The formula for weight in linear function is y= 7.7x + 7

Step-by-step explanation:

Given that,

To find the linear function, the rate of change of weight must be calculated.

To find the rate of change of the baby's weight:

The change in the weight is from 7 lbs to 84 lbs.

Therefore, the rate of change of weight of the baby is 7.7 lbs.

This means that, every year the weight has been increased by 7.7 lbs and in 10 years the baby gained a weight of 84 lbs.

From this information, the linear function is given as :

Total weight = 7.7(number of years) + born weight.

⇒ y= 7.7x + 7

where,

∠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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