Answer:
B. ASA (Angle-Side-Angle).
Step-by-step explanation:
We have been given a diagram and we are asked to find the congruence theorem, which will prove that △GHL ≅ △KHJ.
Upon looking at our diagram we can see that side length GH of △GHL is equal to side length KH of △KHJ.
We are also given that 
.
We can see that 
is vertical opposite angle of 
as they are formed by the intersection of line segments GK and JL. Therefore, 
, by vertical angles theorem.
We can see that both triangles have two congruent angles and one congruent included side, therefore, △GHL ≅ △KHJ by ASA congruence and option B is the correct choice.
Answer:
B. 15 ft^3
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = (1/3)Bh
where B represents the area of the base, and h represents the height.
The base is apparently a rectangle, so its area is the product of its length and width:
B = L·W = (4.5 ft)(4 ft) = 18 ft^2
Then the volume is ...
V = (1/3)(18 ft^2)(2.5 ft) = 15 ft^3
15 cubic feet of sand will be needed to fill the base.
Answer:
7. 4^2 = 6
8. 7^2 = 49
9. 6^4 =1296
10. 1^2 = 1
11. 5^3 =125
12. 1^3 =1
Step-by-step explanation:
