Answer:
The invention of the steam engine and the construction of steel bridges to carry trains across various physical features led to ever-increasing demand for the materials and labor to build more trains and tracks
Explanation:
Chapter 11 AP HUG quiz. Thank me later.
The Rainforest, because it has a lot of rain and is a very wet and humid climate which cause more types of vegetation to grow.
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<span>Macon, Augusta, and Columbus are located in the (C) Coastal Plain Region in Georgia, which includes the lower half of the state.
The Blue Ridge Mountains Region includes the far northeast counties of Georgia. The Appalachian Plateau includes the far northwest counties of Georgia. The Piedmont Region includes the remaining counties in the upper half of Georgia.</span>
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