Step 1: Subtract 1 from both sides: 9x = 27. Step 2: Divide both sides by 9: x = 3.

Step 1: Subtract 4 from both sides: 9x = 27. Step 2: Divide both sides by 9: x = 3.

Step 1: Add 3 to both sides: 9x = 27. Step 2: Divide both sides by 9: x = 3.

Step 1: Add 4 to both sides: 9x = 9. Step 2: Divide both sides by 9: x = 1.

$15 × 3 = $45.

Total cost = 5 x 3 = $15

12 - (12 * 1/3) = 12 - 4 = 8 chocolates left.

20 - 5 = 15 toys left.

8 - 2 = 6

8 - 2 = 6

Average speed = total distance / total time = 150 km / 2 h = 75 km/h.

Time = Distance / Speed, so 240 km / 80 km/h = 3 hours.

Using the Pythagorean theorem, the distance from the center to the chord is √(r² - (c/2)²) = √(6² - 5²) = √(36 - 25) = √11 cm.

Radius r = distance from center to point = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.

Radius = distance from center to point = √((5 - 2)² + (-3 + 3)²) = √(9 + 0) = 3.

The circumference C = 2πr. Thus, r = C/(2π) = 31.4/(2π) ≈ 5 cm.

The circumference C of a circle is given by C = 2πr. Thus, 31.4 = 2 * 3.14 * r, which gives r = 5 cm.

Circumference = 2πr, thus r = Circumference / (2π) = 31.4 / (2π) ≈ 5 cm.

The length of an arc is given by L = (θ/360) * 2πr. Here, r = 5 cm, so L = (60/360) * 2π(5) = (1/6) * 10π ≈ 5.24 cm.

Circumference = πd = π(10) = 10π units.

The radius of a circle is half of the diameter. Therefore, the radius is 14 cm / 2 = 7 cm.

Area of segment = Area of sector - Area of triangle; Area of sector = (120/360) * π(10)² = (1/3) * 100π = 33.33π m²; Area of triangle = (1/2) * r² * sin(θ) = (1/2) * 10² * √3/2 = 25√3 m²; Area of segment = 33.33π - 25√3.

Area of sector = (θ/360) * πr² = (60/360) * π(2)² = (1/6) * 4π ≈ 2.09 cm².

Area = πr² = π(2)² = 4π m².

Diameter = 2 × radius = 2 × 3 = 6 cm.

Arc length = (θ/360) * 2πr = (120/360) * 2π(3) = (1/3) * 6π = 2π cm.

Arc length = (θ/360) * 2πr = (60/360) * 2π(3) = (1/6) * 6π = π ≈ 3.14 cm.

Arc length = (θ/360) * 2πr = (90/360) * 2π(3) = (1/4) * 6π = 4.71 cm.

Circumference of a circle = 2πr = 2π(4) = 8π cm.

The area A of a circle is given by A = πr². Therefore, A = π(4)² = 16π cm².