Answer:
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,
,
, 
Explanation:
If the quadrilateral presented in figure is a parallelogram, then the following conditions are satisfied:
(1)
(2)
(3)
(4)
(5)
(6)
If we know that
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and
, then we have the following results:
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,
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, 
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 and Explanation:
Earths crust is broken into plates called tectonic plates. the plates move bc of convection currents in the earths mantle. convection currents are the movement caused with a liquid by the propencity of hotter and less dense matter to rise, and colder, thicker material to sink under the effect of gravitational pull, which as a result results in the transfer of heat. As a result these are moved by the heat composed by the common natural blight of radioactive component in the earth.
occupational structure is the distribution of profession or jobs to the people in a society according to their social status, education etc.
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