did you have any plans for the RR party
Western cape, south Africa
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
We know that the sum of the interior angles of every triangle is 180°:
( 15 y + 9° ) + ( 22 y + 8° ) + ( 14 y + 10° ) = 180°
15 y + 22 y + 14 y = 180° - 9 ° - 8° - 10°
51 y = 153°
y = 153° : 51
y = 3°
∠ V = 15 · 3° + 9° = 54°
∠ U = 22 · 3° + 8° = 74°
∠ W = 14 · 3° + 10° = 52°
Let`s assume that opposite the angles V, U and W are sides v , u and w. Opposite the smallest angle is the smallest side of a triangle.
Answer: Side length w is the smallest.
Answer:
Problems at port exists since ages. Finding solutions is important to have an effective environment in the port. Continuous Ship inspections with application of underwater drones. Installation of automated cranes . Using cosmic rays to scan for the contraband. Hydrogen powered tugs to reduce the toxic emissions . Having techniques for safer mooring.