In an equilateral triangle, the measure of each angle is 60 degrees. Then the value of x and y is 17/3 and 65.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In trianlge ΔMNP, PM = 3x - 4, MN = 14, ∠N = 5y - 5.
In an equilateral triangle, all the sides and all the angles are equal.
MN = NP = PM
∠M = ∠N = ∠P
Then we have
PM = MN
3x - 4 = 14
x = 17/3
We know in an equilateral triangle, the measure of each angle is 60 degrees. Then we have
∠N = 60
5y - 5 = 60
5y = 65
y = 13
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The speed is the distance covered by an object at a particular time. The distance that is covered by the vehicle is 3,391 miles.
<h3>What is speed?</h3>
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that the journey took 9 days. Therefore, the time in hours will be equal to,
Time = 24 hours/day × Number of days
= 24× 9
= 216 hours
Also, given that the speed of the vehicle is 15.7 miles per hour, the number of hours for which it travels is 216 hours.
Distance = Speed × Time
= 15.7 miles/hour × 216 hours
= 3,391.2 miles
Hence, the distance that is covered by the vehicle is 3,391 miles.
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Answer:

Step-by-step explanation:
From the question we are told that:
Sample size n=100
Sample space n'=36
Generally the equation for the mean number of times odds appears is mathematically given by



Generally the equation for standard deviation is mathematically given by


Therefore probability to make wrong decision P(n>55)


Answer:
4/6 and 6/9 us simlar as 2/3