2024 Right triangle ratios crossword

If you haven't solved the crossword clue Right-triangle ratio yet try to search our Crossword Dictionary by entering the letters you already know! (Enter a dot for each missing letters, e.g. “P.ZZ..” will find “PUZZLE”.) Also look at the related clues for crossword clues with similar answers to “Right-triangle ratio” . Fedex employee handbook

Trig ratio NYT Crossword Clue Answers are listed below. Did you came up with a solution that did not solve the clue? No worries we keep a close eye on all the clues and update them regularly with the correct answers. TRIG RATIO Crossword Answer. COSEC; COTAN; Last confirmed on April 21, 2021 .An easy way to tell the difference between these two ratios is the isosceles right triangle has two congruent sides, so its ratio has the √ 2, whereas the 30 − 60 − 90 angles are all divisible by 3, so that ratio includes the √ 3. Also, if you are ever in doubt or forget the ratios, you can always use the Pythagorean Theorem.For example, the area of a right triangle is equal to 28 in² and b = 9 in. Our right triangle side and angle calculator displays missing sides and angles! Now we know that: a = 6.222 in. c = 10.941 in. α = 34.66°. β = 55.34°. Now, let's check how finding the angles of a right triangle works: Refresh the calculator.This type of triangle can be used to evaluate trigonometric functions for multiples of π/6. 45°-45°-90° triangle: The 45°-45°-90° triangle, also referred to as an isosceles right triangle, since it has two sides of equal lengths, is a right triangle in which the sides corresponding to the angles, 45°-45°-90°, follow a ratio of 1:1:√ ...1. Prove that the two triangles below are similar. The triangles are similar by A A ∼ because they have at least two pairs of congruent angles. Use the Pythagorean Theorem to find D E. ( 3 3) 2 + D E 2 = 6 2 → 27 + D E 2 = 36 → D E 2 = 9 → D E = 3. Use the fact that the triangles are similar to find the missing sides of Δ A B C.Debt-to-Income Ratio Calculator I believe it does if you have a ton of arrears I do believe they can collect. And attach to your credit report. At least that's what's wrong with mi...Crossword Clue. Here is the solution for the Trig ratio clue featured in Newsday puzzle on September 13, 2023. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 95% match which has a length of 4 letters. You can unveil this answer gradually, one letter at a time, or reveal it all at once.right angle Crossword Clue. The Crossword Solver found 30 answers to "right angle", 4 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . A clue is required.Here is the solution for the Reddish spice in Middle East cuisine clue featured in Washington Post puzzle on July 9, 2016. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 94% match which has a length of 5 letters. Answers for right triangle ratio/105187 crossword clue, 6 letters. Search for crossword clues found in the Daily Celebrity, NY Times, Daily Mirror, Telegraph and major publications. Find clues for right triangle ratio/105187 or most any crossword answer or clues for crossword answers. Let's find possible answers to "Right triangle ratio, or a kind of wave" crossword clue. First of all, we will look for a few extra hints for this entry: Right triangle ratio, or a kind of wave. Finally, we will solve this crossword puzzle clue and get the correct word. We have 1 possible solution for this clue in our database.Right-triangle ratio is a crossword puzzle clue. Clue: Right-triangle ratio. Right-triangle ratio is a crossword puzzle clue that we have spotted 3 times. There are related clues (shown below).Two or more clue answers mean that the clue has appeared multiple times throughout the years. TRIG RATIOS New York Times Crossword Clue Answer. SINES. This clue was last seen on NYTimes April 25, 2022 Puzzle. If you are done solving this clue take a look below to the other clues found on today's puzzle in case you may need help with any of them.Use those ratios to fill out the chart provided and to answer the questions below each triangle. Round all answers to the nearest thousandths place. Example: The triangles sides are labeled with respect to the acute angle (30, 45, etc). Label your answers as 1, 2, 3 for each question that asks for the ratio and round to the nearest thousandth. Answers for right triangle ratio/5863 crossword clue, 6 letters. Search for crossword clues found in the Daily Celebrity, NY Times, Daily Mirror, Telegraph and major publications. Find clues for right triangle ratio/5863 or most any crossword answer or clues for crossword answers. The Crossword Solver found 30 answers to "Trig ratio (Abbr.)", 5 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Was the Clue Answered? Alg. and trig. Kin of trig.7.5 Proportions and Similar Triangles 387 Find the value of x. Solution} C D D B} 5 } C EA E} Triangle Proportionality Theorem 4 8} 5 } 1 x 2} Substitute 4 for CD, 8 for DB, x for CE, and 12 for EA. 4 p12 5 8 px Cross product property 48 5 8x Multiply. 4 8 8} 5 } 8 8 x} Divide each side by 8. 6 5 x Simplify. EXAMPLE 1 Find Segment Lengths Find the value of y. Solution You know that PS 5 20 and ...Trig ratio NYT Crossword Clue Answers are listed below. Did you came up with a solution that did not solve the clue? No worries we keep a close eye on all the clues and update them regularly with the correct answers. TRIG RATIO Crossword Answer. COSEC; COTAN; Last confirmed on April 21, 2021 . If you haven't solved the crossword clue Right-triangle ratio yet try to search our Crossword Dictionary by entering the letters you already know! (Enter a dot for each missing letters, e.g. “P.ZZ..” will find “PUZZLE”.) Also look at the related clues for crossword clues with similar answers to “Right-triangle ratio” The Crossword Solver found 30 answers to "Right triangle side", 3 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Enter a Crossword Clue. A clue is required.A look at what's happened in the market six times when the equity put/call ratio has been lower than 40%. One market indicator I frequently look at on Real Money is the equity ...First, we need to create our right triangle. Figure 13.5.1 13.5. 1 shows a point on a unit circle of radius 1. If we drop a vertical line segment from the point (x, y) ( x, y) to the x -axis, we have a right triangle whose vertical side has length y y and whose horizontal side has length x x.Answer. Right triangle ratio. 4 letters. sine. Definition: 1. ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle. View more information about sine. Right triangle ratio. 6 letters. secant.MATH 9 QUARTER 4 M1 - Free download as PDF File (.pdf), Text File (.txt) or read online for free.Answers for right triangle ratio/10503 crossword clue, 6 letters. Search for crossword clues found in the Daily Celebrity, NY Times, Daily Mirror, Telegraph and major publications. Find clues for right triangle ratio/10503 or most any crossword answer or clues for crossword answers.This type of triangle can be used to evaluate trigonometric functions for multiples of π/6. 45°-45°-90° triangle: The 45°-45°-90° triangle, also referred to as an isosceles right triangle, since it has two sides of equal lengths, is a right triangle in which the sides corresponding to the angles, 45°-45°-90°, follow a ratio of 1:1:√ ...Racetrack ratio. Crossword Clue We have found 40 answers for the Racetrack ratio clue in our database. The best answer we found was ODDS, which has a length of 4 letters.We frequently update this page to help you solve all your favorite puzzles, like NYT, LA Times, Universal, Sun Two Speed, and more.The Crossword Solver found 30 answers to "right triangle ratio/207262", 6 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues.Suppose that θ is an acute angle of a right triangle and 210 cot 3 θ = . Find the six trigonometric functions of θ. 48. Suppose that θ is an acute angle of a right triangle and 5 sec 2 θ= . Find the six trigonometric functions of θ. 49. (a) Use the theorems for special right triangles to find the missing side lengths in the triangles above.Crossword Clue. Here is the solution for the Put cargo aboard clue featured in USA Today puzzle on November 1, 2018. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 95% match which has a length of 4 letters. You can unveil this answer gradually, one letter at a time, or reveal it all ...This type of triangle can be used to evaluate trigonometric functions for multiples of π/6. 45°-45°-90° triangle: The 45°-45°-90° triangle, also referred to as an isosceles right triangle, since it has two sides of equal lengths, is a right triangle in which the sides corresponding to the angles, 45°-45°-90°, follow a ratio of 1:1:√ ...Search Clue: When facing difficulties with puzzles or our website in general, feel free to drop us a message at the contact page. We have 1 Answer for crossword clue Divisor In The Golden Ratio of NYT Crossword. The most recent answer we for this clue is 3 letters long and it is Two.Trig ratios Crossword PDF Trig ratios Crossword Word Document. Geometry Crossword PDF Geometry Crossword Word Document. Search. ... Angle Of Elevation Reference Angle Right Triangle Trigonometry SOH CAH TOA Hypotenuse Triangle Opposite Bearings Adjacent Inverse Tangent Compass Degree Cosine Sine . Customize Add, edit, …Crossword with 12 clues. Print, save as a PDF or Word Doc. Customize with your own questions, images, and more. Choose from 500,000+ puzzles.Profitability ratios help investors, bankers, and entrepreneurs gauge the health and sustainability of their businesses. Trusted by business builders worldwide, the HubSpot Blogs a...The Crossword Solver found 30 answers to "right triangle ratio", 6 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Enter a Crossword Clue. A clue is required.Given the measure of an acute angle in a right triangle, we can tell the ratios of the lengths of the triangle's sides relative to that acute angle. Here are the approximate ratios …Triangle ratio Crossword Clue. We have got the solution for the Triangle ratio crossword clue right here. This particular clue, with just 4 letters, was most recently seen in the Wall Street Journal on July 7, 2023. And …Right triangle ratio. Today's crossword puzzle clue is a quick one: Right triangle ratio. We will try to find the right answer to this particular crossword clue. Here are the possible solutions for "Right triangle ratio" clue. It was last seen in Daily quick crossword. We have 1 possible answer in our database.The Crossword Solver found 30 answers to "geometry ratio", 2 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues. Enter a Crossword Clue. A clue is required. Sort by Length ...Find the latest crossword clues from New York Times Crosswords, LA Times Crosswords and many more. ... Trigonometric Ratios Crossword Clue. We found 20 possible solutions for this clue. We think the likely answer to this clue is SINES. You can easily improve your search by specifying the number of letters in the answer.Triangle ratio. While searching our database we found 1 possible solution for the: Triangle ratio crossword clue. This crossword clue was last seen on July 7 2023 Wall Street Journal Crossword puzzle. The solution we have for Triangle ratio has a total of 4 letters. We have found 15 other crossword clues with the same answer.Trigonometry ratios is a crossword puzzle clue. Clue: Trigonometry ratios. Trigonometry ratios is a crossword puzzle clue that we have spotted 2 times. There are related clues (shown below).The Crossword Solver found 30 answers to "right triangle ratio", 6 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Enter a Crossword Clue. A clue is required.Here is the answer for the crossword clue ___ ratio (TV screen metric) featured in Universal puzzle on November 15, 2023. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 95% match which has a length of 6 letters. We think the likely answer to this clue is ASPECT.The Crossword Solver found 30 answers to "right triangle ratio, or a kind of wave", 6 letters crossword clue. The Crossword Solver finds answers to classic crosswords …Word crossword games have been a favorite pastime for many for years. They are not only fun but also help to improve vocabulary, memory, and cognitive skills. The first step in cre...Figure 1.8.2. Confirm with Pythagorean Theorem: x2 +x2 2x2 = (x 2-√)2 = 2x2. Note that the order of the side ratios x, x 3-√, 2x and x, x, x 2-√ is important because each side ratio has a corresponding angle. In all triangles, the smallest sides correspond to smallest angles and largest sides always correspond to the largest angles ...Jan 23, 2015 · Right-triangle ratio, for short. Crossword Clue Here is the solution for the Right-triangle ratio, for short clue featured in Chronicle of Higher Education puzzle on January 23, 2015. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 95% match which has a length of 5 letters. You can ... In this post we have shared the answer for Right triangle ratios. Word Craze is the best version of puzzle word games at the moment. This game presents the best combination of word search, crosswords and IQ games. In each level you will be given several clues or questions and you need to find the correct answer and clear the simple …Trigonometry 4 units · 36 skills. Unit 1 Right triangles & trigonometry. Unit 2 Trigonometric functions. Unit 3 Non-right triangles & trigonometry. Unit 4 Trigonometric equations and identities. Course challenge. Test your knowledge of the skills in this course. Start Course challenge. Math.Oct 7, 2021 · Search Clue: When facing difficulties with puzzles or our website in general, feel free to drop us a message at the contact page. We have 1 Answer for crossword clue Right Triangle Ratios of NYT Crossword. The most recent answer we for this clue is 5 letters long and it is Sines. Search Clue: When facing difficulties with puzzles or our website in general, feel free to drop us a message at the contact page. We have 1 Answer for crossword clue Certain Math Ratios of NYT Crossword. The most recent answer we for this clue is 5 letters long and it is Sines.Psychological ratios is a crossword puzzle clue that we have spotted 1 time. There are related clues (shown below). There are related clues (shown below). Referring crossword puzzle answersRecent usage in crossword puzzles: Pat Sajak Code Letter - April 27, 2009; USA Today - Jan. 4, 2006Across. 1. matching angles or sides of two or more polygons. 3. measure of the amount of matter in an object (metric) 4. measurement system used in the USA. 5. the ratio between two sets of measurements. 8. 7. the number of cubic units needed to fill a given space (metric) technique using similar figures and proportions to measure an object ...Ratio of two sides in a right-angled triangle, in brief - Crossword Clue and AnswerIndices Commodities Currencies StocksRatio of two sides in a right-angled triangle, in brief - Crossword Clue and AnswerRight triangle ratios is a crossword puzzle clue that we have spotted 1 time. There are related clues (shown below). Referring crossword puzzle answers. SINES. Likely related crossword puzzle clues. Sort A-Z. Scorch. Trig functions. Trig ratios. Math ratios. Some curves. Trigonometric functions. Certain curves. Math functions. They can make waves.Today's crossword puzzle clue is a quick one: Ratio. We will try to find the right answer to this particular crossword clue. Here are the possible solutions for "Ratio" clue. It was last seen in The Independent quick crossword. We have 1 possible answer in our database.TRIG RATIOS Crossword Answer. COTANS. SINES. Last confirmed on April 25, 2022. Please note that sometimes clues appear in similar variants or with different answers. At the moment 'SINES' is the most recent one and it has 5 letters. If this clue is similar to what you need but the answer is not here, type the exact clue on the search box.An easy way to tell the difference between these two ratios is the isosceles right triangle has two congruent sides, so its ratio has the √ 2, whereas the 30 − 60 − 90 angles are all divisible by 3, so that ratio includes the √ 3. Also, if you are ever in doubt or forget the ratios, you can always use the Pythagorean Theorem.Our crossword solver found 10 results for the crossword clue "right triangle ratio".Planets' reflective ratios. Crossword Clue Here is the solution for the Planets' reflective ratios clue featured in Newsday puzzle on July 5, 2019. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 94% match which has a length of 7 letters. You can unveil this answer gradually, one ...The Crossword Solver found 31 answers to "ratio", 8 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues. Enter a Crossword Clue. A clue is required. Sort by Length # of Letters or Pattern ...Geometric ratio is a crossword puzzle clue that we have spotted 2 times. There are related clues (shown below). There are related clues (shown below). Referring crossword puzzle answersThe Crossword Solver found 30 answers to "Right triangle ratio: Abbr.", 3 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues.Special right triangle that uses the ratio 1:Radical of 3:2 a^2+b^2=c^2 Angle that is always 90 degrees A plane figure with three straight sides and three angles Branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant function of any angles Identical in form, size and angles Inverse of sin ...The Crossword Solver found 30 answers to "Right triangle ratio: Abbr.", 3 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues.Right Triangle Side: Abbr Crossword Clue Answers. Find the latest crossword clues from New York Times Crosswords, LA Times Crosswords and many more. ... Right triangle ratio: Abbr 5% 3 III: Numeral at the right side of a clock face 5% 10 CORRECTING: Putting right 5% ...The ratios of the sides of a right triangle are called sinθ = opposite hypotenuse, cosθ = adjacent hypotenuse, and tanθ = opposite adjacent. There are two families of special triangles: 30-60-90 and 45-45-90 whose ratios are known exactly. 4.1.2: Right Triangles and Trigonometric Ratios is shared under a not declared license and was authored ...On this page we are posted for you New Yorker Crossword Right-triangle ratio crossword clue answers, cheats, walkthroughs and solutions. Our guide is the ultimate help to deal with difficult New Yorker Crossword level. The studio The New Yorker hasn’t stopped only at this game and has created some more others.Here is the solution for the Right-triangle ratio, for short clue featured in Chronicle of Higher Education puzzle on January 23, 2015. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 95% match which has a length of 5 letters.The Crossword Solver found 30 answers to "ratio words", 5 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Was the Clue Answered? "Here ___ trouble!" "Keep going!"Advertisement. right angle ratio Crossword Clue. The Crossword Solver found 30 answers to "right angle ratio", 4 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Enter a Crossword Clue.Right triangle ratio: Abbr. Crossword Clue. Here is the solution for the Right triangle ratio: Abbr clue featured in LA Times Daily puzzle on September 24, 2015. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 94% match which has a length of 3 letters.Clue. Length. Answer. Right-angle ratio. 4 letters. sine. Definition: 1. ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle. View more information about sine.The Crossword Solver found 30 answers to "right angle triangle side", 10 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Enter a Crossword Clue. A clue is required.The right equipment, training, and running route isn't always enough to ensure a good run, especially if your breathing is all over the map. To help stabilize yours, try incorporat...We found 20 possible solutions for this clue. We think the likely answer to this clue is COS. You can easily improve your search by specifying the number of letters in the answer. …The Crossword Solver found 30 answers to "Right triangle leg (abbr) (3)", 3 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Enter a Crossword Clue. A clue is required. Sort by Length.sin(θ) 1 = rsin(θ) r. Equation (4.1.4) shows that the ratio of the vertical leg of a right triangle to the hypotenuse of the triangle is always the same (regardless of r) and that the value of that ratio is sin(θ), where θ is the angle opposite the vertical leg. We summarize these recent observations as follows.as the ratio of the sides of a triangle. Also, we were only able to find the value of trig functions of angles upto 90 degrees. But in unit circle definition, the trigonometric functions sine and cosine are defined in terms of the coordinates of points lying on the unit circle x^2 + y^2=1.In a right triangle, we know that one of the angles is \(90^{\circ}\). If we know three parts of a right triangle, including one of the sides, we can use trigonometry to find all the other unknown parts. ... 4 Solve problems involving right triangles #35-48. 5 Know the trig ratios for the special angles #49-62, 75-78.

The ratios of the sides of a right triangle are called sinθ = opposite hypotenuse, cosθ = adjacent hypotenuse, and tanθ = opposite adjacent. There are two families of special triangles: 30-60-90 and 45-45-90 whose ratios are known exactly. 4.1.2: Right Triangles and Trigonometric Ratios is shared under a not declared license and was authored .... Nj upgrade probationary license online

The Crossword Solver found 30 answers to "Right triangle ratio: Abbr.", 3 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues.The Crossword Solver found 30 answers to "right angled triangle's longest side", 10 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Enter a Crossword Clue. A clue is required.Crossword Clue. Here is the answer for the crossword clue Vegas ratios featured in USA Today puzzle on April 14, 2024. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 94% match which has a length of 4 letters. We think the likely answer to this clue is ODDS.On this page you will find the solution to Right triangle ratio crossword clue. This clue was last seen on Wall Street Journal Crossword June 18 2020 Answers In case the clue doesn’t fit or there’s something wrong please contact us. Right triangle ratioRight triangle ratios is a crossword puzzle clue. Clue: Right triangle ratios. Right triangle ratios is a crossword puzzle clue that we have spotted 1 time. There are related clues (shown below).Here is the solution for the Reddish spice in Middle East cuisine clue featured in Washington Post puzzle on July 9, 2016. We have found 40 possible answers for this clue in our database. Among them, one solution stands out with a 94% match which has a length of 5 letters.Answers for Right triangle, e.g. crossword clue, 5 letters. Search for crossword clues found in the Daily Celebrity, NY Times, Daily Mirror, Telegraph and major publications. ... Right-triangle ratio, for short TANGENT: Right triangle calculation COS: Right triangle ratio: Abbr. AT SEA: Lost in the Bermuda Triangle, for example? (2,3)Likely related crossword puzzle clues. Based on the answers listed above, we also found some clues that are possibly similar or related. Trig ratio Crossword Clue; Trig function Crossword Clue; Trigonometric ratio Crossword Clue; Right triangle ratio Crossword Clue; Cosine's reciprocal Crossword Clue; Curve-cutting line Crossword Clue; Intersecting line Crossword Clue ... The Crossword Solver found 30 answers to "some right triangle ratios", 5 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues. Clue. Length. Answer. Right-angle ratio. 4 letters. sine. Definition: 1. ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle. View more information about sine.Rachel explains how to use trigonometry to find the lengths of missing sides and the size of angles in right-angled triangles.The Crossword Solver found 30 answers to "Right triangle part: Abbr.", 3 letters crossword clue. The Crossword Solver finds answers to classic crosswords and cryptic crossword puzzles. Enter the length or pattern for better results. Click the answer to find similar crossword clues . Enter a Crossword Clue. A clue is required.RIGHT TRIANGLE 1 RATIOS RIGHT TRIANGLE RATIOS 1 1.1 Angles, Degrees, and Arcs 1.2 Similar Triangles 1.3 Trigonometric Ratios and Right Triangles 1.4 Right Triangle Applications Chapter 1 Group Activity: A Logistics Problem Chapter 1 Review θ c01_001-052v2 8/30/05 9:48 AM Page 1.

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