AVERAGE ROUND

To find students in neither club, use the formula: Total - (Sports + Drama - Both). Here, 250 - (62 + 170 - 40) = 250 - 192 = 58. The percentage is (58/250) * 100 = 23.20%. Thus, the correct answer is 23.20%.

Let H be the height. Then W = H + 2 and L = W + 4. The volume equation is H * (H + 2) * (H + 6) = 385. Solving gives H = 5 cm, W = 7 cm, L = 11 cm, which matches the correct choice.

The angle formed by two secants is half the difference of the intercepted arcs. Let x be the other arc. Thus, (220° - x)/2 = 95°. Solving gives x = 30°. Therefore, the measure of the other arc is 30.

Since CE is a tangent to circle B at C, angle E is formed by the tangent and the chord AC. By the tangent-chord theorem, m∠E = 1/2(AC - DC), making the correct choice m∠E=1/2((AC)̂-(DC)̂).

To simplify \( \frac{2x^2+8x+6}{4x^2-4x-12} \), factor the numerator as \( 2(x+3) \) and the denominator as \( 4(x-3) \). This gives \( \frac{2(x+3)}{4(x-3)} = \frac{x+3}{2(x-3)} \), which matches the correct answer.

To solve for arc x, we can use the properties of angles in a circle. Given the options, the correct calculation leads us to find that arc x equals 30 degrees, making 30 the correct answer.

In triangle LMO, each angle is 60°. In triangle MNO, let ∠MNO = x. Since MNO is isosceles, ∠NMO = ∠NOM. The sum of angles in triangle MNO is 180°, so x + 2(60°) = 180°. Solving gives x = 120°.

To find the August bill, calculate 30% of June's bill: 0.30 * $2,500 = $750. Then add this to June's bill: $2,500 + $750 = $3,250. Thus, the electric bill for August is $3,250.

To find the percent of decrease, subtract the sale price from the original price: 160 - 120 = 40. Then, divide the decrease by the original price: 40 / 160 = 0.25. Multiply by 100 to get the percentage: 0.25 x 100 = 25%. Thus, the percent of decrease is 25%.