Answer:
The answer is below
Step-by-step explanation:
The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.
Therefore:
∠MON = ∠MOP + ∠NOP (angle addition postulate)
Substituting values gives:
124 = (2x + 1) + (2x + 1)
124 = 2x + 2x + 1 + 1
124 = 4x + 2
subtracting 2 from both sides of the equation:
124 - 2 = 4x + 2 - 2
4x = 122
Dividing through by 4:
4x / 4 = 122 / 4
x = 30.5
Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°
∠MOP = 62°, ∠NOP = 62°
Hi.
To formally answer your question:
D. y = 0.75<em>x</em> + 11
We can prove this by substituting <em>x</em> with 1 (the initial measurement)
y = 0.75(1) + 11 = 11.75
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I would say the answer is 2
Answer:
The correct answer is D. 360,360.
Step-by-step explanation:
Number of cities as stopovers available for selection for an European tour = 15
A traveler has to select a total of five cities from these the given 15 cities for his tour and order is determined by the travel company.
Therefore the number of ways the traveler plan such a tour is given by ![\left[\begin{array}{ccc}15\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D15%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
= 3003.
Now the order of the cities chosen by the travel company is given by 3003 × 5! = 360,360 ways.
If you would like to know how long will it take to drain the pool, you can calculate this using the following steps:
3 hours ... 250 gallons
x hours = ? ... 150 gallons (= 400 - 250)
3 * 150 = 250 * x
x = 3 * 150 / 250
x = 1.8 hours
3 hours + 1.8 hours = 4.8 hours
The correct result would be B. 4.8 hours.
