Which expression can be used to find the difference of the polynomials? (10m – 6) – (7m – 4)answer choices  [10m  +  (–7m)]  +  [(–6)  +  4](10m  +  7m)  +  [(–6)  +  (–4)][(–10m)  +  (–7m)]  +  (6  +  4)[10m  +  (–7m)]  +  [6  +  (–4)]

To add or subtract any algebraic expression,  variables add or subtract with variables and constant term add or subtract with constant terms in the expression.

To solve given expression, we use [10m + (–7m)] + [(–6) + 4] expression.

Given expression is,

                               (10m – 6) – (7m – 4)

Now, variables add or subtract with variables and constant term add or subtract with constant terms in the above expression.

                        10m - 6 - 7m + 4

                      (10m - 7m) + (-6 + 4)

                    [10m + (–7m)] + [(–6) + 4]

So, first option is correct.

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(10m – 6) – (7m – 4)

= 10m - 6 - 7m + 4

= 3m - 2

So

[10m + (–7m)] + [(–6) + 4]

= 3m + (-2)

= 3m - 2 matching answer.

Answer

[10m + (–7m)] + [(–6) + 4]

∠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.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950