Convert 35/8 to a decimal using long division

First take 35 and put it in the house. 8 goes into 3, 0 times. 8 goes into 35, 4 times . 35 - 32 = 3 add 0. 8 goes into 30, 3 times. 30 - 24 = 6 add 0. 8 goes into 60, 7 times 60 - 56 = 4 add 0. 8 goes into 40, 5 times 40 - 40 = 0. therefore the answer is 4.375

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

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