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
Surface area of the base = 4^2 = 16 units^2.
Area of each triangular side = 1/2 * 4 * 3 = 6 unts^2
Total surface area of the pyramid = 16 + 4 * 6 = 40 unit^2 (answer)
Using the two parallel line theorems we proved that ∠8 ≅ ∠4.
In the given question,
Given: f || g
Prove: ∠8 ≅ ∠4
We using given diagram in proving that ∠8 ≅ ∠4
Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So
∠8≅∠6
Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."
∠6≅∠4
Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."
∠8 ≅ ∠4
Hence, we proved that ∠8 ≅ ∠4.
To learn more about parallel line theorems link is here
brainly.com/question/27033529
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