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k0ka [10]
3 years ago
10

Drag a statement or reason to each box to complete this proof.

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

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Cruz is training to compete in a triathlon. He left his house at 6:00 and ran until 7:30. Then he rode his bike until 9:45. He c
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The speed in running is 10 mph and speed in biking is 16 mph

<em><u>Solution:</u></em>

Given that, Cruz is training to compete in a triathlon

He left his house at 6:00 and ran until 7:30

Time taken for running = 1.5 hours

Then he rode his bike until 9:45

7: 30 to 9: 45 is biking time

Time taken for biking = 2.25 hours

He covered a total distance of 51 miles

Total distance = 51 miles

Let "x" be the speed in running

His speed when biking was 1.6 times his speed when running

Speed in biking = 1.6x

Total distance = distance in running + distance in biking

The distance is given by formula:

distance = speed \times time

Therefore,

Total\ Distance = x \times 1.5 + 1.6x \times 2.25\\\\51 = 1.5x + 3.6x\\\\5.1x = 51\\\\x = 10

Thus speed in running is 10 miles per hour

Speed in biking = 1.6x = 1.6(10) = 16

Thus speed in running is 10 mph and speed in biking is 16 mph

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