The statement "unit cubes with side lengths of 1/2 foot are added to fill the prism with no space remaining" is useless information so you can disregard that. All you need to know to calculate the volume is the length, width, and height.
Volume = length x width x height
Volume = (5/2) x 3 x 11/2
Volume = 15/2 x 11/2
Volume = 165/4
Volume = 41.25 ft cubed
Step-by-step explanation:
Congruent means the same. You can prove that the two triangles are congruent by the measurements and also if they look the same. You can also see if parallelograms are congruent by seeing if they are the same. They also have to mirror the image of the other. Your welcome :)
Step-by-step explanation:
6. angle 1 = angle 4 = 60deg (vertically opposite angles)
7. angle 3 = 180 - 40 - 60 = 80deg (angles on a straight line are supplementary)
8. angle 5 = angle 2 = 40deg (vertically opposite angles)
9. angle 6 = angle 3 = 80deg (vertically opposite angles)
10. angle 7 = angle 5 + angle 4 = 40 + 60 = 100deg (alternate angles, //lines)
11. angle 8 = 180 - 100 = 80deg (angles on a str line are supplementary)
12. angle 9 = 180 - 80 - 40 = 60deg (angles in a triangle)
13. angle 10 = 180 - 60 = 120deg (angles on a str line are supplementary)
14. angle 11 = angle 9 = 60deg (vertically opp angles)
15. angle 12 = angle 10 = 120deg (vertically opp angles)
Topic: angles
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
SAS stands for Side-Angle-Side congruence/similarity theorem
HL is Hypotenuse-Leg congruence/similarity theorem.
What's the question? lol
27
Divide
8.1 / 0.3
27
Hope this helps :)
