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Sloan [31]
3 years ago
9

If the sumof two numbers,n and m,is rational,which statement is true?

Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Option B:

Both n and m must be rational.

Solution:

Given information:

Sum of two numbers, n and m are rational.

<u>To find which statements are true:</u>

Option A: Both n and m may be rational but do not have to be.

It is not true because n and m given is rational.

It have to be rational.

Option B: Both n and m must be rational.

Yes, n and m must be rational then only the sum of numbers are rational.

It is true.

Option C: Both n and m must be irrational.

Sum of irrationals will be sometimes irrational and sometimes can't add.

So it is not true.

Option D: One number is rational and the other is irrational.

Rational and irrational cannot be add.

So it is not true.

Option B is true.

Both n and m must be rational.

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Harlamova29_29 [7]

Answer: (D) No. The corresponding pairs of sides must also be marked  congruent to determine that the triangles are congruent.

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Explanation:

The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.

Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.

The list of congruent theorems is

  • SSS
  • ASA
  • AAS (or SAA)
  • SAS
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Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.

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So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.

7 0
2 years ago
Can you help me please.........................
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area of shaded figure = l x w = 24 *18 = 432

 area of white square =  12*12 = 144

 area of shaded part = 432-144 = 288 m^2


Answer is A

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