A punch bowl holds 7.5 liters of punch. Each cup holds 0.25 liters. Which of the following will determine how many cups of punch each bowl will provide? A. Divide the amount of punch by the amount that each cup will hold. 7.5/0.25 = 30 cups for each punch bowl.

B. Multiply the amount of punch by the amount that each cup will hold. (7.5)(0.25) = 8/15 of cup for each punch bowl.

C. Multiply the amount that each cup will hold by the amount of punch. (0.25)(7.5) = 15/8 cups for each punch bowl.

D. Divide the amount of punch by the amount that each cup will hold. 0.25/7.5 = 1/30 cups for each punch bowl.

Which of the following values are in the range is the function graphed below? check all that applya.3b.1c.0d.-2e.5f.2a

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12