Answer:
Given
Step-by-step explanation:
Consider triangle ABD and triangle DCA,
AC=BD ( given that they are diameters)
Diameters of the same circle are equal
AD=AD (common side for both triangles)
<BAD= <CDA (angles in semicircles are 90°)
So since the right angle, hypotenuse and side are equal..
ABD is congruent to CDA
(Rhs congruence rule)
Hence proved..
Answer:
The range here is 85
Step-by-step explanation:
Here, we want to calculate the range of the data
Mathematically, the range is defined as the difference between the lowest value and the highest value in the dataset
From the given data points, the highest value is 189, while the lowest value is 104
So the range is the difference between the two which is;
189-104 = 85
Answer: the integers are 6 and 23
Step-by-step explanation:
Let x represent one of the integers.
Let y represent the other integer.
The product of the integers is 138. This means that
xy = 138 - - - - - - - - - -1
One of the integers is seven less than five times the other integer. This means that
x = 5y - 7
Substituting x = 5y - 7 into equation 1, it becomes
y(5y - 7) = 138
5y² - 7y = 138
5y² - 7y - 138 = 0
5y² + 23y - 30y - 138 = 0
y(5y + 23) - 6(5y + 23)
y - 6 = 0 or 5y + 23 = 0
y = 6 or y = - 23/5
The only possible value of y is 6
x = 138/y = 138/6
x = 23
Triangle formula: 1/2base(height)
So 1/2(6) * 9
3*9 = 27ft^2
Parallelogram formula: length(width) or base(height)
So 18(13)= 234m^2
Triangle formula above so 1/2(20)*9
So 10*9 = 90in^2
Answer:
The one on the middle left.
Explanation:
x goes infinitely in the positive direction.
y does not show any sign of not going infinitely positively or negatively.
