The numbers included in this interval are from -12/17 and on.
Therefore the probability that the angle measure are supplementary are:120,60
Answer:
length = 31 ft
width = 19 ft
Explanation:
Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12
The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w
Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.
Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft
Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft
Hope this helps :)
The original statement is true by the definition of what constitutes a right angle. It's simply set up this way.
The contrapositive would be the statement "if the angle does not measure 90 degrees, then the angle is not a right angle" which is also a true statement. Example: a 37 degree angle is not a right angle.
Note: the original conditional "If P, then Q" would have the contrapositive be in the form "If not Q, then not P". We flip P and Q, and stick "not"s in front of both parts.
So this is why the answer is choice D
