One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.
Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).
Answer:
Given: ......[1]
To prove : x =78
Subtraction property states that you subtract the same number to both sides of an equation.
Subtract 2 from both sides of an equation [1];
Simplify:
......[2]
Multiplication property states that you multiply the same number to both sides of an equation.
Multiply 6 to both sides of an equation [2];
Simplify:
proved!
Statement Reason
1. Given
2. Subtraction property of equality
3. Multiplication property of equality
Answer: 0.0667117 * miles
Step-by-step explanation: The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the sun is approximately 0.9863 degrees per day. If we assume the orbit of the Earth is completely circular, what is the linear speed in miles per hour?
Step-by-step explanation: First, a day has 24 hours. Knowing how far the earth travels in day we can say:
0,9863 degrees/day = 0,9863 degrees/(24 hours)
0,9863 degrees/day = 0.0411 degrees/hours
Also, we know the orbit completely circular, so the total distance on, degrees, is 360°. Also this distance can be know with the formula:
Total Circuference = 360° = 2*pi* R
Because Radius is variable for any circle. It is say that:
360° = 2*pi radians
WIth this relation, we can know how many radians are 0.0411 degrees
360/0.0411 = (2*pi)/x
x = (2*pi*0.0411)/(360)
X = 0.00071733032
X is how much the Earth travels per hour in Radians.
Multiplying per Radius:
Earth distance traveled per hour = 0.0667117 * miles