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
The shockwave from an undersea earthquake causes 'ripples' in the ocean which are very large swells. When the bottom of the swell touches land, it must build up higher to maintain it's size. Therefore when it approaches the beach, water is drawn away from the beach to compensate for the ocean depth getting shallower under the tsunami swell. More water is drawn from in front of the swell than behind due to the movement of the swell.
Why is Quechua still present in modern-day South America?
A) It is a required subject in every school.
B) It was brought by European invaders and perpetuated throughout the continent.
C) It is an indication of wealth and achievement.
D) It was imposed on every tribe conquered by the Incas.
Answer: Option D
<u>Explanation:</u>
Incas was also known as the Inca Empire or the Incan Empire was known as the largest empire in pre-Columbian America. Most of the scholars do consider its political and administrative structure. And these structure are considered as the most developed Empire in the Americans before the arrival of the Columbus happened.
The answer is b I believe so
