Answer:
Car = 10 miles/hour
Bus = 20 miles/hour
Step-by-step explanation:
Here,
Let, the value of the speed of the bus = X
the value of the speed of the car = 2X - 30 (As the speed of the car is 30mph slower than twice)
According to the question,
2X - 20 = 2*(2x-30)
or, 2X - 20 = 4X-60
or, 2X = 40
x = 20
Therefore, the speed of the bus, x = 20 miles/hour
So, the speed of the car is (2*20-30) mph = (40 - 30) mph = 10 miles/hour.
The quotient of the synthetic division is x^3 + 3x^2 + 4
<h3>How to determine the quotient?</h3>
The bottom row of synthetic division given as:
1 3 0 4 0
The last digit represents the remainder, while the other represents the quotient.
So, we have:
Quotient = 1 3 0 4
Introduce the variables
Quotient = 1x^3 + 3x^2 + 0x + 4
Evaluate
Quotient = x^3 + 3x^2 + 4
Hence, the quotient of the synthetic division is x^3 + 3x^2 + 4
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Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
<h3>What is the Inscribed Angle Theorem?</h3>
Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
Learn more about the inscribed angle theorem on:
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Answer:
Step-by-step explanation:
(10 pushups)/(25 sec) = (⅖ pushup)/sec
Or,
(25 sec)/(10 pushups) = (2.5 sec)/pushup
Answer:
its actually D :0
Step-by-step explanation:
