A || b what’s the value of X?
1 answer:
<h3><u>Answer:</u></h3>
- The value of x is 17.
<u>We know that the lines are parallel because it is given that:</u>
- a ∥ b
<u>Now, let's form an equation.</u>
- => 2x + 5 + 8x + 5 = 180
<u>Let's solve!</u>
- => 10x + 10 = 180
- => 10x = 170
- => x = 17
Hence, the value of x is 17.
You might be interested in
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 )