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Hitman42 [59]
2 years ago
13

Which shortcut can be used to prove the triangles are congruent?

Mathematics
1 answer:
Gemiola [76]2 years ago
6 0

Answer:

Option 2: AAS is the right answer

Step-by-step explanation:

In the diagram, two triangles are given with two angle measurements and one non-included side.

It can also be seen that the respective angles of both triangles have same measurement and the non-included side is also congruent.

AAS Postulate:

"AAS postulate states that when two angles and one excluded side are congruent in two triangles then the triangles are congruent."

Hence,

Option 2: AAS is the right answer

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Which is the best interpretation of the solution set for the compound inequality?
andriy [413]

Answer:

  all real numbers

Step-by-step explanation:

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  6x +3 > 21 . . . . . . . . eliminate parentheses

  6x > 18 . . . . . . . . . . .subtract 3

  x > 3 . . . . . . . . . . . . divide by 6

This is all numbers to the right of 3 on the number line.

__

The solution to the second inequality is ...

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  x < 4 . . . . . . . . . . . . subtract 3x+3

This is all numbers to the left of 4 on the number line.

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The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. <em>Any value of x</em> will satisfy one or the other or both of these inequalities. The solution is all real numbers.

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