Answer:
x = 7
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-Step Explanation:
Step 1: Define
5(x - 3) = 2(x + 3)
Step 2: Solve for x
1. Distribute: 5x - 15 = 2x + 6
2. Subtract 2x on both sides: 3x - 15 = 6
3. Add 15 on both sides: 3x = 21
4. Divide both sides by 3: x = 7
Answer:
Area of the given triangle = 6.51 ft²
Step-by-step explanation:
If we redraw the triangle as shown in the figure attached we get the height of the triangle as x feet and base = 4.3 feet
Therefore area of ΔABC = (1/2) × Height (AD) × Base(BC)
From ΔABD
sin 53 = AD/AB = x/3.8
x = 3.8 × sin 53
= 3.8 × 0.7986 = 3.03 feet
Now area of ΔABC = (1/2)×3.03×4.3 = 6.51 feet²