
The mistake is in Step 1. The solver should have also squared
when squaring the other side of the equation.
<h3>Correctly solving</h3>

Answer:

Step-by-step explanation:
The triangle is a right triangle.
We can use trigonometric functions to solve the problem.
tan θ = opp/adj
tan 30 = y/(4√3)
y = 4√3 tan 30
y = 4
Answer:
a = 9.849
b = 20.25
c = 491.03
Step-by-step explanation:
By using Pythagoras theorem in the right triangle BDC,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
BC² = BD² + DC²
a² = 9² + 4²
a = 
a = 
a = 9.8489
a ≈ 9.849 units
By mean proportional theorem,

AD × DC = BD²
b × 4 = 9²
b = 
b = 20.25 units
BY Pythagoras theorem in ΔADB,
AB² = AD² + BD²
c² = b² + 9²
c² = (20.25)² + 9²
c² = 410.0625 + 81
c = 491.0625
c = 491. 063 units
12 boys. 7 * 3 is 21. 21 girls. 4*3 is 12. 12 boys 21 girls
x=3 1/4 is not a solution to the equation.
12 5/8=x+9 1/4 Subtract 9 1/4 from each side 3 3/8=x, but 3 1/4=3 2/8