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Nataly [62]
3 years ago
8

Is ABC=DEF? If so, name the postulate that applies.

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0
The answer is ABC=DEF because SAS
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4 0
3 years ago
Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The
andriy [413]

The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

<u>Step-by-step explanation:</u>

Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:

\frac{x_1+x_2+.....+x_2_8}{28} = 11 where x_1, x_2, ....., x_2_8 are athletes

⇒ x_1 + x_2 + .. + x_2_8 = 11(28)= 308

⇒ (x_1 + x_2 + .. + x_8 )+ (x_9+x_1_0+...+x_2_8) = 308

⇒ (\frac{x_1 + x_2 + .. + x_8}{8}  )(8)+ (\frac{x_9+x_1_0+...+x_2_8}{20} )(20) = 308

⇒ 10.5(8)+m(20) = 308 , where m is average time of the 20 athletes who did not qualify for the final.

⇒ 84+m(20) = 308

⇒ 20m= 224

⇒ m=11.2

∴ The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

8 0
3 years ago
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