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
D why are they going there because they need to know
Answer:
The germinate stage refers to the time from fertilization.through the development of the early embryo until implantation completed in the uterus.
The correct answer that would best complete the given statement above is option C. Minerals can form deep inside earth's crust by the crystallization of melted materials. There are two ways on how minerals are formed: <span>crystallization of melted materials and the crystallization of materials dissolved in water. Hope this helps!</span>
They provide evidence that movements of the crust are a result of slow moving currents in the mantle. Since earthquakes and volcanic eruptions are usually a result of stick-slip movements between 2 more plates and it is tension changes that are responsible for this sudden movement, the plates must be moving overtime or this tension would remain fairly constant.
