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azamat
3 years ago
11

Use the figure to write the segment addition postulate, write an equation and solve for x.

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0

Answer:

5. x = -1

6. x = 2

Step-by-step explanation:

5. AB = 5

BC = 2x + 6

AC = x + 10

AB + BC = AC (segment addition postulate)

5 + 2x + 6 = x + 10 (substitution)

Collect like terms

5 + 6 + 2x = x + 10

11 + 2x = x + 10

2x - x = - 11 + 10

x = -1

6. AB = 9x + 7

BC = -3x + 20

AC = 39

AB + BC = AC (segment addition postulate)

(9x + 7) + (-3x + 20) = 39 (substitution)

Solve for x

9x + 7 - 3x + 20 = 39

Collect like terms

9x - 3x + 7 + 20 = 39

6x + 27 = 39

Subtract 27 from both sides

6x + 27 - 27 = 39 - 27

6x = 12

Divided both sides by 6

6x/6 = 12/6

x = 2

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3) Usain Bolt holds the men’s world record in both the 100 meter (9.58 seconds) and the 200 meter (19.19 seconds). Tyson Gay’s t
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1 km-------------> 1000 m
 X-----------------> 1 m
X=1/1000--------> 0.001 km

1 hour---------> 3600 sec
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X=1/3600--------> 0.0002777 hour

1 ft-----------> 0.3048 m
X-----------> 1 m
X=1/0.3048 ----------> 3.28084 ft

Part 1) <span>What are all three sprinters times in kilometers per hour? Round your answers to the nearest tenths. 

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100 meter-----------> 100*0.001------> 0.10 km
9.58 sec-------------> 9.58*(1/3600)-----> 0.0026611 hour

0.10/0.0026611----------> 37.6 km/hour

</span>b) Tyson Gay  9.69 sec  in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
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0.10/0.0026916----------> 37.2 km/hour

c) Florence Griffith-Joyner  10.49 sec  in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
10.49 sec-------------> 10.49*(1/3600)-----> 0.0029138 hour

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Part 2) <span>What are all three sprinters times in feet per second?
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100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/9.58 sec----------> 34.25 ft/sec

b) Tyson Gay  9.69 sec  in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/9.69 sec----------> 33.86 ft/sec

c) Florence Griffith-Joyner  10.49 sec  in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/10.49 sec----------> 31.28 ft/sec

Part 3) <span>How much faster was Usain Bolt in the 100 meter than Tyson Gay?
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</span>Usain Bolt  was 0.11 sec faster than Tyson Gay in the 100 meter<span>

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