Answer:
The solution to the given system of equations is (-2,)
Therefore the values of x and y are x=-2 and
Step-by-step explanation:
Given equations can be written as
Solving equation(2) we get
x=-2
Substitute x=-2 in equation (1) we get
Therefore the values of x and y are x=-2 and
The solution to the given system of equations is (-2,)
Answer:
BC ≈ 4.0
Step-by-step explanation:
∠ DCA = 180° - 70° = 110° ( adjacent angles )
∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle
∠ DAC = 180° - 140° = 40°
Using the Sine rule in Δ ACD to find common side AC
=
( cross- multiply )
AC × sin40° = 15 × sin30° ( divide both sides by sin40° )
AC = ≈ 11.668
Using the cosine ratio in right triangle ABC
cos70° = =
=
( multiply both sides by 11.668 )
11.668 × cos70° = BC , then
BC ≈ 4.0 ( to the nearest tenth )