Can someone pls help me?

9514 1404 393

  22.  yes

  23.   is divisible by 9

Step-by-step explanation:

A number is divisible by 9 if the sum of its digits is divisible by 9. The process of reducing the sum of digits to a single digit is called "casting out nines." It can be a useful process for checking arithmetic of all sorts.

A number is divisible by 3 if the sum of its digits is divisible by 3.

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22. 114 is divisible by 3 because 1+1+4 = 6, a number divisible by 3. Everyone will have a spot.

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24. 2187 has a sum of digits of 2+1+8+7 = 18, which has a sum of digits of 1+8=9. This is divisible by 9, so 2187 is divisible by 9.

∠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.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.