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exis [7]
3 years ago
10

Solve the following inequality. 2 x < 8

Mathematics
1 answer:
Monica [59]3 years ago
4 0

Answer: x < 4

Step-by-step explanation:

2x<8

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

x < 8/2

Divide 8 by 2 to get 4.

x<4

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Select the postulate or theorem that you can use to conclude that the triangles are similar.
ioda

Answer: SSS Similarity Theorem

Step-by-step explanation:

  • SSS Similarity Theorem says that the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar.

In the given picture , we have two triangles XYZ and KMN, where

\dfrac{3}{4.5}=\dfrac{4}{6}=\dfrac{2}{3}

\Rightarrow\ \dfrac{XZ}{KN}=\dfrac{ZY}{MN}=\dfrac{XY}{KM}=\dfrac{2}{3}

By SSS similarity theorem , we have

ΔXYZ ≅ ΔKMN

3 0
3 years ago
Read 2 more answers
Which of the following is a solution of x-6&lt;6 AND x+4&gt;-1
alekssr [168]

Answer:

x-6<6

x<6+6

x=12

x+4>-1

x>-1-4

x>-5

8 0
3 years ago
Which of the following appear in the diagram below?
borishaifa [10]
A,c and d appear in the diagram except b
a:< DCE
c: line CE
d: line AB
all of these are in it while
b:< CDE
is not present in it, because there is no anglethat is formed on d
3 0
3 years ago
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I have a very relaxing break playing Solitaire as often as I could. After playing 500 games, my success rate is 49%. How many ga
lukranit [14]

Answer:

5 more games to be won for the 50% success rate.

Step-by-step explanation:

Total number games played = 500

Number of successful games = 49% of 500

                                                 = 500 × \frac{49}{100}

                                                 = 245

Number of successful games for the success of 50% = 500 × \frac{50}{100}

                                                                                        = 250

Therefore, number of game you have to win more = 250 - 245

                                                                                    = 5 games

4 0
3 years ago
What is the common difference of 31, -169, -369, -569?
san4es73 [151]

Answer:

31 is a positive number, while -169, -369, and -569 is negative.

Step-by-step explanation:

Negative numbers, are numbers less then 0 and include a negative sign that looks like this "-".

Positive numbers are numbers above 0 and don't include a negative sign.

-169, -369, and -569 is negative because they have a negative symbol and the number is below 0, while 31 is positive because it's above 0 and doesn't include a negative sign.

4 0
4 years ago
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