Two parallel lines are intersect by the same line, and the angles shown lie on the same orientation about the intersection so the angles are equal to each other...which means:
9x+21=10x+10 subtract 21 from both sides
9x=10x-11 subtract 10x from both sides
-x=-11 divide both sides by -1
x=11
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Answer:
x = 12
Step-by-step explanation:
The similarity statement tells you corresponding sides have the same ratio.
AB/BC = FE/EC
x/10 = 6/5
x = 10(6/5)
x = 12
Answer:
Step-by-step explanation:
Triangle ABC is a 45-45-90 right triangle. That means that segment BC also measures 10.
The big triangle as a whole is a 30-60-90. The side length across from the 30 degree angle is 10, so the whole length of BD is 10√3. However, since we already have the length of BC as 10, then segment CD measures
10√3 -10 which is 7.32
3 laps in 2.5 minutes
1 lap = 2.5/3 minute
20 laps = (2.5/3)*20 = 16.67
20 laps ≈ 16.67 minutes
Answer:
16,000 lb.
Step-by-step explanation:
For every ton, it equals 2,000 pounds. So to find how many pounds is in 8 tons, just multiply 2,000 by 8. This would give you 16,000 pounds!
This is of course using the U.S. tons, so if you want to convert it for metric tons it would be 17,632 since 1 metric ton = 2204.
I hope this was able to help!