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
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Answer:
Marble is a type of rock. It is a metamorphic rock , which means rock which as changed it texture or shape or color over the time. These rocks are formed usually by uniting already existing substances on the earth. Limestone is the naturally available stone , which when undergoes metamorphosis turns into the formation of marble. Marble forms when the hot magma heats the limestone , the heat recrystallizes the calcite in the limestone changing its texture, shape etc.
Overfishing at sea can lead to an extinction.
Overfishing is a serious problem, it affects lot of marine species, at every water corner of the Earth. If the fishing is not controlled strictly it leads to extinction of the marine wildlife, lot of species have already been extinct, thousands are on the verge of extinction. Also, the extinction of a single species makes big problem in the ecosystem, removing lots of species has huge impact on lots of ecosystems that are connected and the consequences are irreparable.