Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all. Your numbers to work with are: 1 7 32 14 12 Expression/Value ( 0 . 4 + 1 . 6 ) × 6: Answer here 24 ÷ 3 × 4: Answer Here 8 ÷ ( 9 − 5 ) + 3 + 2: Answer here 28 ÷ 7 × 1/4: Answer here ( 6 × 5 ) − 4 × 4: Answer here

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