Answer:
1. Interior angles:- B and F
C and G
2. Corresponding angles:- E and G
F and H
A and C
B and D
3. Equal
4. Angle A = 105
Angle C = 105
Angle D = 75
Angle E = 75
Angle F = 105
Angle G = 75
Angle H = 105
5. Angle D
6. Angle B = 65
Step-by-step explanation:
1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
∴ Pair of interior angles are:- 1) B and F
2) C and G
2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.
∴ Pair of corresponding angles:- 1) A and C
2) B and D
3) E and G
4) F and H
3. Angle D and E are equal as they form alternate exterior angles.
4. Angle B = 75 degrees
Angle A = (180-B) = 105 degrees
Angle C = (180-B) = 105 degrees(interior angles)
Angle D = B = 75 degrees(corresponding angles)
Angle E = B = 75 degrees(congruent angles)
Angle F = (180-B) = 105 degrees
Angle G = B = 75 degrees(alternate interior angles)
Angle A = (180-B) = 105 degrees
5. Angle D
6. Angle F = 115 degrees
Angle B = (180-115) = 65 degrees
Answer:
A. No
B. Yes
C. No
Step-by-step explanation:
Dimensions of each book are 4 inches by 11 by 14 inches.
A. Each book has a volume of 29 cubic inches.
Volume of each book = length × width × height
= 4 × 11 × 14
= 616 cubic inches
No
B. If the crate could hold 18 books the volume of the crate would be 11,088.
Volume of each book = 616 cubic inches
Volume of the crate = volume of each book × number of books
= 616 × 18
= 11,088 cubic inches
Yes
C. Each crate has a volume of about 8,524 cubic inches
If the crate holds 14 books,
Volume of the crate = volume of each book × number of books
= 616 × 14
= 8,624 cubic inches
No
Answer:
4 and 6
Step-by-step explanation:
Let integers be x and x+2 Then:-
x + x + 2 = 3(x + 2) - 2x
2x + 2 = 3x + 6 - 2x
2x + 2 = x + 6
x = 4
The numbers are 4 and 6.
Answer:
54
Step-by-step explanation:
6x9=54
Answer:
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Step-by-step explanation: