Answer:
x = 3
Step-by-step explanation:
Hi there,
We know that the value of ∠ABD and ∠DBC are the same because BD bisects it. Therefore, we can set both of the angle values equal to each other to find the value of x.
9x = (8x + 3)
x = 3
Hope this answer helps. Feel free to ask questions. Cheers.
Answer:
5.338401847392900e1395%377846Q9
Step-by-step explanation:
Your answer for this is 86.49
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
