What is the slope of the line below? If necessary, enter your answer as a
1 answer:
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Answer:
5 kg
Step-by-step explanation:
To solve this problem, we can use the rule of three.
In fact, we know that:
- 1 kilogram is equivalent to 2.2 pounds
- The ratio between the mass in kilograms and in pounds is constant for every value of the mass
- Therefore, the mass in kilograms corresponding to 11 pounds can be found by writing the following equation:
Where
x is the mass in kilograms corresponding to 11 pounds.
Solving the equation for x, we find:
Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
and
Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.