I need help fining X. I keep getting a negative number
2 answers:
Answer: x = 3
Step-by-step explanation:
Hey there! This geometry problem can easily be solved using something known as power theorems of a circle.
There are 3 power theorems. Chord chord theorem, tangent secant theorem and secant secant theorem.
Since your diagram contains 2 intersecting cords of a circle, we're gonna have to use the chord chord theorem
Say chord AB of a circle intersects with chord CD of the same circle at O. Then the chord chord theorem states that AO×OB = CO×CD.
So in your diagram, according to the chord chord theorem,
6×1 = 2×x
2x = 6
2x/2 = 6/2 ( divide both sides by 2 to single out x in the LHS)
Then we have x = 3!!!
YAYYY we derived our answer!!!
Hope it helped ya
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Answer:
The vehicle can travel 12 miles per gallon of gas.
Step-by-step explanation:
- The number of gallons used by a vehicle = 1 1/8 gallons
i.e.
gallons
- The number of miles traveled by a vehicle = 13 1/2 miles
i.e.
miles
Thus,
Total Gallons =9/8 gallons
Total Distance in miles = 27/2 miles
Hence:
Unit Rate = [27/2 miles] / [9/8 gallons]
= 12 miles per gallons ∵
Therefore, the vehicle can travel 12 miles per gallon of gas.