The three principal measures of temperature are fahrenheit f, celsius c, and kelvin k. these are related by the formulas below. f = 1.8c + 32 k = c + 273.15 (a) solve each of the equations for c. with respect to f c = with respect to k c =
(b) find a formula expressing f in terms of k. f =
(c) find the formula expressing k in terms of f. k =
(d) express the temperature 0 degrees celsius in terms of degrees fahrenheit and in terms of kelvins (degrees on the kelvin scale). (round your answers to two decimal places.) °f k
(e) express the temperature 76 degrees fahrenheit in terms of degrees celsius and in terms of kelvins. (round your answers to two decimal places.) °c k

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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