A. at least I think it is
Answer:
x = 7, y = 2
Explanation:
Two triangles are said to be congruent if all three sides and three angles of one triangle is equal to three sides and three angles of the other triangle.
From the question:
BD ≅ BD (reflexive property of equality)
Since BD is the angle bisector of ∠ABC, hence ∠ABD = ∠CBD
∠ABD = 2x + y, ∠CBD = 14 + y. Therefore:
2x + y = 14 + y
2x = 14 + y - y
2x = 14
x = 14 / 2
x = 7
Also, ∠BAD = ∠BCD = 90° (right angled triangle)
Since ∠BAD = ∠BCD, BD ≅ BD and ∠ABD = ∠CBD, therefore ΔABD is congruent to ΔCBD by angle-angle-side congruence theorem.
The angle-angle-side congruence theorem states that if two angles and one side of one triangle is equal to two angles and one side of another triangle the both triangles are congruent.
ΔABD is congruent to ΔCBD, therefore AD = CD
5x - y = x + 13y
13y + y = 5x - x
14y = 4x
14y = 4(7)
y = 4(7) / 14
y = 2
Answer:
31. C. Law of Effect
32. D. Innate satisfying stimuli
33. A. Modeling
Explanation:
BF Skinner elaborated the Law of Effect of Throndike by introducing reinforcement. Skinner proposed that behavior that is reinforced is more likely to be repeated and without reinforcement, it would eventually die out.
Primary reinforcers are unconditioned, meaning they are biologically important and learning is not necessary. Examples would be eating, sleeping, sex and the like.
The idea of modelling was introduced by Bandura. As children are surrounded by different individuals, exposed to TV characters and the like, they often observe and imitate the behavior of these "models". At first children are more likely to imitate those who are like them, and then evenutally associate the behavior to rewards and consequences. If the behavior they imitated lead to rewards, they would most likely continue the imitated behavior.
Fossil records from separate continents, particularly on the outskirts of continents show the same species. As well mineral specimens along the supposed break lines of the continents are nearly identical. Some identical species exist on certain continents, like an earthworm common to both Africa and South America suggesting the species could not have spontaneously arisen on both continents without some variations.
Answer: In the North Carolina Mountains
Explanation:
Soil creep refers to the process whereby soil and sediments on a hillside begin to flow down the hill gradually. It is quite prevalent in humid areas with lots of rain.
The North Carolina mountains provide conditions necessary for soil creep to occur as they are both humid areas with high amounts of rainfall and comprise of various hills that soil and sediments can flow downwards on.
