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:
A
Explanation:
because b its not in a valley its a top a hill
not c cuz colossus of rhodes its LITTERLY COLOSSUS
and cant be d cut it cant burn down its made of marble
The Galapagos Islands are famous because it is where Charles Darwin discovered many previously unknown species of animals and inspired him to create the theories of natural selection, survival of the fittest, and evolution.
C isn't correct just a heads up.
If RT is greater than BA, that correctly compares angles C and S then mAngleC < mAngleS.
<h3>What is the triangle about?</h3>
If two sides of one triangle are said to be congruent to its corresponding sides of other triangle, So one can say that the third side of triangles is based on the angle opposite to third side of the triangles.
Therefore, Since:
BA < RT
Then a side RT is said to be greater than the other side BA. So, the angle that is opposite to side RT is also greater than angle opposite side BA.
So therefore, If RT is greater than BA, that correctly compares angles C and S then mAngleC < mAngleS.
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