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 )
Answer:
A is your answer.
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
-1/4 (2x + 8) = -6
Multiply both sides by -4.
2x + 8 = 24
Subtract 8 from both sides.
2x = 16
Divide both sides by 2.
x = 8
True, because dot plots usually look like this
0 0
0 0 0 0 0
__________________________________
1 2 3 4 5
As you can see, the dots are above the line.