Hypothesis: Matthew buys soup.
Conclusion: Matthew buys crackers
Negation: Matthew does not buy soup. Matthew does not buy crackers
100
#6
Angles 1 and 2 both measures 55 degrees, so by the definition of congruent angles angle 1 is congruent to angle 2. Since angle 1 and angle 2 are corresponding angles, lines a and bare parallel by Postulate 12.
100
#11
81 squares
100
#16
The statement is only false when the hypothesis is true but the conclusion is false. For the statement "If x2< 81, then x <9," this is impossible. Therefore, the statement is always true.
200
#2
Point x
200
#7
Quadrilateral (rectangle); it is equiangular but not equilateral, so it is irregular.
200
#12
Hypothesis:4x +2 = 10
Conclusion: x = 2
200
#17
Triangle ABC is obtuse, because it has one obtuse angle B.
300
#3
15 inches
300
#8
m angle K = 51 degrees
300
#13
QR = 8
300
#18
line WX is parallel to line YZ
400
#4
There are many adjacent angles in the diagram. Two possible sets are angle DCE and angle ECF. There are also several linear pairs. Once is angel DCG and angle GCH.
400
#9
ray PG, ray PR and ray PS
400
#14
y =1/2x -5
400
#19
9.3 meters
500
#5
6
500
#10
P = 30 in
A = 56.25 sq in
500
#15
0
500
#20
Postulaste 8 says that if 2 points lie on a plane, then the line containing the points lies in the plane. Since points M and N lie on plane P, then line MN lies on plane P.