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Answer:
Algebra
Step-by-step explanation:
Answer:
We can not use ASA property of congruence.
Step-by-step explanation:
In ΔHML and ΔHMK,
HL ≅ HK [Given]
LM ≅ KM [Given]
HM ≅ HM [Reflexive property]
m∠L ≅ m∠K [Given]
ASA property of congruence,
Angle-Side-Angle property of congruence.
False
SSS property of congruence,
Side-Side-Side property of congruence,
True
SAS property of congruence,
Side-Included Angle-Side property of congruence,
True.
Therefore, we can not use ASA property of congruence.
4.) The lateral area of a figure is the area of the figure with the exception of the bases.
Given a prism with right triangle bases, the lateral area of the prism is the sum of the areas of the rectangles making up the prism.
This is given by
Lateral area = (8.94)(41) + (4)(41) + (8)(41) = 366.54 + 164 + 328 = 858.54 ≈ 859 m^2
The surface area is the sum of the bases plus the lateral area. The area of a rectangle is given by half base times height.
Surface area = 1/2 x 8 x 4 + 1/2 x 8 x 4 + 859 = 16 + 16 + 859 = 891 m^2
5.) The surface area of a cylinder is given by pi r^2h where r is the radius = 12 inches and h is the height = 17 inches.
Surface area = π x (12)^2 x 17 = 2,448π = 7,690.62 in^2 ≈ 7,691 in^2
