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Math Theorems. Type in the given value. a3+2a24a8>0a^3+2 a^2-4 a-8>0 In a 30-60-90 degrees right triangle, the side opposite the 30-degree angle is Use the 30-60-90 and 45-45-90 triangle relationships to solve for the missing sides. Draw a chart to show the major parts of a medieval manor. Right triangles & trigonometry homework 7: Please do not post the answer 2018 o level emath paper 2 7.2 multiplying polynomials answer key Best math graphing app Computer programming homework help The triangle is not drawn to scale. \begin{array}{c} Solving for Side Lengths of Right Triangles A, Right Triangle Relationships and Trigonometry, Algebra and Trigonometry for College Readiness. The legs each have a length of 10 units. Its altitude forms the longer leg of two 308-608-908 triangles. 10, 4, 6 Preview this quiz on Quizizz. a = ? \text { (per } 1000) 100 c. 10 d. 48 ____ 2. a. Multiply that leg by 2. The graphs of y=x2y=x^2y=x2 and y=2xy=2^xy=2x have the points (2,4)(2,4)(2,4) and (4,16)(4,16)(4,16) in common. This Special right triangles quiz answer key helps to fast and easily solve any math problems. xb``e````e`Ha`@ ;1` F4vH^N >t;D\lud10f@lY+\Ylb/~3Nx=-6c0?`9!lcT60(,e0r`dhyLC$*209g b9 endstream endobj 96 0 obj <> endobj 97 0 obj <>/Shading<>/ColorSpace<>/Font<>/ProcSet[/PDF/Text/ImageC/ImageI]/Properties<>/ExtGState<>/Pattern<>>>/Type/Page>> endobj 98 0 obj <>stream A very good app thanks, whoever is the owner of this app, this app is amazing, it helped me out so much with my homework. Special right triangles test answer key. Special Right Triangles Assignment and Quiz. Its decent but I hate how you get one free look at the steps or at least always have the watch ad option so you'd still make money and it'd be a win win, this app is so amazing, it's the best thing ever! What is the length of side QR? Right Triangles Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. %PDF-1.4 Based on this trend, predict how the country's population will change over the next 202020 years. 6 Special Segments of Triangles Vocab Rev, myPerspectives: English Language Arts, Grade 7, Harold Levine, Norman Levine, Robert T. Levine, Vocabulary for Achievement: Fourth Course, SpringBoard English Language Arts: Grade 10. Actually easy and quick to use, i use this when I feel like I need extra help or a different way of solving something. The length of segment XY is 9 cm. Figure 3 A diagonal of a square helps create two congruent isosceles right triangles.. Question 4 120 seconds Q. If you're struggling to clear up a math equation, try breaking it down into smaller, more manageable pieces. . . Divide that leg's length by 2. Main site navigation. b = ? Identify the choice that best completes the statement or answers the question. GEOMETRY 0809. 7. There are many different rules and choices by which we can choose the triangle and call it special. Geometry B Name_ _ p2r0j1U8` JK`uwtXaZ oSKo`f^tgwpagrzeQ PLWLcCb.U g. Expert Help. The Pythagorean theorem is written: a 2 + b 2 = c 2. b) solving right triangles. The distance between each pair of bases along the edge of the square is 90 feet. What is the ratio of all 30-60-90 triangles? Unit 8 Right Triangles And Trigonometry Homework 1 Answer Keyhomework answer key. Prove that ex1+xe^x \geq 1+xex1+x if x0x \geq 0x0. What is the length of the hypotenuse of the triangle? In this table, you'll find the formulas for the relationship between special right triangle angles, legs, hypotenuse, area, and perimeter: 3030\degree30 - 6060\degree60 - 9090\degree90, 4545\degree45 - 4545\degree45 - 9090\degree90. Flashcards Learn Test Match Created by mrsmnoble Teacher Solve for a missing side in 45-45-90 and 30-60-90 special right triangles. Maths Special Right Triangles Quiz Study with Quizlet and memorize flashcards . Choose 1 answer: 6 6 A 6 6 6\sqrt {3} 6 3 B 6\sqrt {3} 6 3 12 12 C 12 12 18 18 D 18 18 24 24 E 24 24 Stuck? Do you think your prediction is reliable? . \end{array} MNQ is a 30-60-90 right triangle, and the length of the An example of a non-angle-based special right triangle is a right triangle whose sides form a Pythagorean triple. Study with Quizlet and memorize flashcards containing terms like Each leg of a 45-45-90 triangle measures 14 cm. Multi-step special right triangle problems . We'll call this x. Solve for u and v in the special right triangle. View Homework Help - Geometry_-_Chapter_9.2_Special_Right_Triangles_Worksheet_Answer_Key.pdf from MATH 2A at Waconia Senior High. 5 0 obj Terms in this set (26) 22 Find the length of the leg. 7.4 Special Right Triangles. What is the probability notation P(AB)P(A|B)P(AB)? Review Special Right Triangles. b. Unit 8 test right triangles and trigonometry answer key - Math can be a challenging subject for many students. s'Jx=m\ly,)Yi[&r2:nIiac"e?y[Et`kzA. Eric Foner Chapter 14 - The, Give Me Liberty! According to the special right triangle rules, it is not necessary to use the Pythagorean theorem to get the size of a side. answer choices It is the same length as the given leg. San Francisco State University. 45-45-90. Maths Special Right Triangles Quiz Students will test their knowledge on 30-60-90 and 45-45-90 triangles. A right triangle has a 60 degree angle, and the leg adjacent to that angle has a length of 7 in. vW/ Right Triangle . Which final step will prove that the length of the hypotenuse, c, is times the length of each leg? Isaiah sketches a model of a skateboard ramp. Special right triangles edgenuity quiz answers - Congruent Triangles Unit Test Quizlet Unit 6 Lesson 10 - Weebly Edgenuity vs E2020 Answer Keys. By combining like terms, 2a2 = c2. Questions 3-4: Round answers to nearest tenth. cw/j5+%3m]%}~TCISmGu= j}zp(NoWxm!]23/iR)?[7 _En[F:J-.1w= Special Right Triangles Quiz by Secondary Math Shop . Special Right Triangles (Quiz) Flashcards In this 45-45-90 triangle, I have been given a leg, so to find the other leg I answer choices. We'll call this. If the long leg of a 30-60-90 triangle is 23, approximately how long is the short leg? Birthrate(per1000)Deathrate(per1000)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \begin{array}{c|c} \ \ \ \ \ \ \ \ \ \ \ \ The height of trapezoid VWXZ is units. Directions: Find each . To solve a 30 60 90 special right triangle, follow these steps: Find the length of the shorter leg. 5D Displaying top 8 worksheets found for - Gina Wilsin All Things Algebra 2016 Answer Keys. This special right triangles calculator will help you solve the chosen triangle's measurements in a blink of an eye. Questions 1-2: State whether the given lengths form a triangle. What is the length of the lower base, ZX? Triangle ABC is an equilateral triangle. stream The special right triangle is a right triangle whose sides are in a particular ratio. \end{array} Eric Foner Chapter 15 - Reco, Give Me Liberty! 3 29 cm b. If you're looking for a reliable support system, you can trust us. LMCBJK\triangle L M C \cong \triangle B J KLMCBJK. Test and worksheet generator for Geometry. Find the perimeter of the track. Underline the subject in each sentence. The symbol for a radical is . a = ? Right triangles quiz answer key - Apps can be a great way to help learners with their math. Mathematics is the study of numbers, shapes, and patterns. 4 Find the length of the hypotenuse. Answers with radicals must be reduced and rationalized. a. To solve a math equation, you need to find the value of the variable that makes the equation true. Special right triangles are the triangles that have some specific features which make the calculations easier. Look no further! What type of triangle is a 45 - 45 - 90 triangle? with it. Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this isosceles triangle becomes a2 + a2 = c2. . The long leg in a 30 - 60 - 90 triangle is across from which angle? A man is standing near the Washington Monument. M"zJ0yl2x1Yw`"B`3`+`_0;LEJj0 V`'8H$w?f`*@Qro0 ?" endstream endobj 229 0 obj <>stream Create customized worksheets in a matter of minutes. Special Right Triangles Assignment and Quiz, Electronic Communication: Discussion and Deba, 21st-Century Skills: Professional Electronic, 21st-Century Skills: Career and College Appli. Answer Key For Special Right Triangles Thank you very much for downloading Answer Key For Special Right Triangles . Check out 18 similar triangle calculators , Special right triangle calculator example, Find the length of the shorter leg. xZ[od9~_}UBhwvA @(/hPdI2dsqslw:$103e.n+7/^M}apxOo_UJH=y"/Kh:m&?t( i'yuu7X0yJ@FahxyOc~_ya6~^net(|(: x = ? Trigonometry Finding trig. Consider triangle PQR. Log in Join. 8 3 Practicing special answers of right triangles - Cloudshareinfo, Edgenuity world history unit test. Students will test their knowledge on 30-60-90 and 45-45-90 triangles. The 45; 45; 90 Triangle This is a special right triangle whose angles are 45, 45, and 90. Students will test their knowledge on 30-60-90 and 45-45-90 triangles. Josiah Wyman - Special Right Triangle Quiz 1.pdf. San Francisco State University. Special right triangles. A C B a a2 b b2 c c2 5 5 121 11 7 7 2 2 3 24 4 2 8 81 81 2 11 11 4 2 8 2 What type of triangle do you see in the table above? answer choices y = 4, x = 43 y = 42, x = 42 y = 4 x = 12 y = 8/3, x = 16/3 Question 3 What is the length of line segment YX? Math 1312 Section 5.5 Special Right Triangles Note: Triangles in this section are always right triangles! Find x. answer choices 30 60 90 180 Question 5 120 seconds Q. Many special right triangles exist, below you'll find the ones implemented in our tool: If you are looking for the formulas for special right triangles, you are in the right place. Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this isosceles triangle becomes a2 + a2 = c2. 63 Find the length of the long leg. Special right triangles quiz answer key - Maths Special Right Triangles Quiz - Quiz. It's the only possible right triangle that is also an isosceles triangle. Special Right Triangles part 2 Ryan Smith 9.8K views 3 years ago 17 Right Triangles and Trigonometry Mark Johnson Unit 8: Angle or Elevation and Depression Maggie Gola 150 views 1 year. Its hypotenuse will be equal to 2x. Also, it's the shape created when we cut the square along the diagonal: Curious about this triangle's properties? Segment AD measures 18 inches. Section 7 - 3: Special Right Triangles Notes - Part A Properties of 45-45-90 Triangles Use the Pythagorean Theorem to complete the chart. In a 30-60-90 triangle, the length of the hypotenuse is 30. Prove: In a 45-45-90 triangle, the hypotenuse is times the length of each leg. <> Therefore, you need to rationalize the denominator. If ABC is a right triangle with the right angle at A, find BC if AB is 8 and AC is 15. A right triangle has a 45 degree angle, and the hypotenuse has a length of 8 ft. Find the length of a leg. Draw the equilateral triangle described. Now we know that: A 45 45 90 triangle has the following formulas, where x is the length of any of the equal sides: To solve a 30 60 90 special right triangle, follow these steps: 30 60 90 triangles and 45 45 90 (or isosceles right triangle) are the two special triangles in trigonometry. A. Line segment YV of rectangle YVWX measures 24 units. What is the equation for finding the long leg in a 30 - 60 - 90 triangle? Ratios in right triangles. How high is the mat off the ground? Which triangle is a 30-60-90 triangle? Click the card to flip Definition 1 / 8 b. If you're struggling to clear up a math equation, try breaking it down into smaller, more manageable pieces. Consider triangle GHJ. Yes they can form a right triangle, so they form . bQU#4XUKLRD`7TU$r]2DL -tDfbvlcfTX ?J*I\_lLxV&[R9Nv*NSrIs4SqFU8 4gOV)=.gp6:;wlo4XO= Get Tasks is an online task management tool that helps you get organized and get things done. e{h4p3?:qF`T@OMw1?QN * ~*ZuVNZ_A4GmQ[NdyYj,OZr@PMnYP.4+!KW|Q 6e'0\*OG0VU`UZky>SRD}=|b*USf[R}w i1o/grr)9r#`\l7z9s M9tra xx;G\;vAq:hQ WTKDh|,[gjVXEiIAK%p>`(F f,g;g)Uh$b 4O jLcM8M8P60pq. Consider triangle QRS. Identify the choice that best completes the statement or answers the question. Unit 8 right triangles and trigonometry homework 2 answers key. . The legs each have a length of 10 units. Leave answer in simplified and rationalized. Write a quadratic function in standard form for the given set of zeros. Unit 8 right triangles and trigonometry test answer key. stream A right triangle A B C where A C is x units, A B is twelve square root three units, and Angle A is thirty degrees. \text { (per } 1000 \text { ) } The wall can be divided into a rectangle and a triangle. What is the length of the hypotenuse? In our special right triangles calculator, we implemented five chosen triangles: two angle-based and three side-based. The hypotenuse of a 45-45-90 triangle measures 24 inches. xbbd```b`` DR o?\">HnK0 5-8 Applying Special Right Triangles A diagonal of a square divides it into two congruent isosceles right triangles. 5 0 obj Round to the nearest tenth. answer choices ~/k~Frddcx(7Qia}`JE}V$]?4y1+9 &D4 The distance from the man's feet to the base of the monument is 185\(3 feet. The ratio of the sides of a 45-45-90 triangle are: x: x: x 2 . Triangles that have 30, 60, and 90 degree angles have specific and unique characteristics. Pythagorean Theorem and Special Right Triangle Test. The two sides have measures of 3 and 3 Example 2: If the diagonal of a square is 6 , find the length of each of its sides. What is the distance between home plate and second base? From the side view, a gymnastics mat forms a right triangle with other angles measuring 60 and 30. Special Right Triangles Worksheet Answer Key.pdf - Google Drive . Then circle the verb in parentheses that agrees Leave your answer in simplest radical form. The area is A = x3/2. Use the 30-60-90 triangle theorem to find the length of YX. a) solving right triangles example. What is the length of x in this 45-45-90 triangle? The special right triangle calculator solved the measurements of your triangle! The two special right triangles include: 45; 45; 90 Triangle 30; 60; 90 Triangle Let's have a brief overview of these special right triangles as we will see them in detail in the next articles. x\rH~}U(*EUST%@ Y6CDcY0Ot[$KdfrjI}rw.SS"N20N*`&6p6pO@a -fpp"0kf\BXXJLnp%\s cx hdP0@u0f66lD K*hezZQ#fa{cVkeV'aaB# 4Cr(q9CLAc`xr $,T$(Q()&B Determine mathematic problems. . Find the coordinates, giving as many decimal places as your calculator will display. Let's try the best Right triangles quiz answer key. The sides in such triangles have special proportions: ' ( 2. Graph each function over a two-period interval. Find the country's net population growth rate due to births and deaths (i.e., neglect immigration) in 198019801980, 199519951995, and 201620162016. s9I|. Consider that ABC is an equilateral triangle, and AD is a perpendicular bisector of ABC. The following figures show some examples of special right triangles and Pythagorean Triples. What is the equation for finding the hypotenuse in a 30 - 60 - 90 triangle? Look at this neat table below; everything should be clear! order now. Multiply that leg's length by 2. . 4 Reduce and or rationalize all radicals. . Right triangles quiz answer key - We'll provide some tips to help you select the best Right triangles quiz answer key for your needs. Their areas are in geometric progression, according to the golden ratio. At a 60 angle of elevation from the ground, the man sees the top of the 555-foot monument. Study with Quizlet and memorize flashcards containing terms like Pythagorean Theorem, 45-45-90 Special Right Triangle, 30-60-90 Special Right Triangle and Get Solution. Which of the following are not the lengths of the sides of a 30-60-90 triangle? By combining like terms, 2a2 = c2. An oxymoron is a phrase combining contradictory or opposing ideas, often used as a figure of speech for poetic effect. Special right triangles Short legs Hypotenuse Skills Practiced You will practice the following: Reading comprehension - ensure that you draw the most important information from the related. Scroll down to read more about special right triangle formulas and rules. The upper base,VW, measures 10 units. Another famous special right triangle is the 4545\degree45 4545\degree45 9090\degree90 triangle. /2 30-60-90. vEL )xoGjA:h8Lb=l|q"]=-3 /c~W&-T1uWN No information is available for this page. 1-3). 12 Name key. \end{array} Mathematics is the study of numbers, shapes and patterns. answer choices v = 93, u = 63 v = 63 u = 93 v = 9, u = 63 v = 36, u = 63 Question 2 120 seconds Q. What type of special triangle is this? Consider the incomplete paragraph proof. Once you understand the problem, you can use a variety of methods to solve it. Delta math special right triangles answer key - Delta math special right triangles answer key is a software program that supports students solve math problems. Do the side lengths form a . Its properties are unique because it's half of the equilateral triangle. The model has two surfaces on which to skate, represented by sides AB and AD in the diagram. 1) a 2 2 b 45 2) 4 x y 45 3) x y 3 2 2 45 4) x y 3 2 45 5) 6 x y 45 6) 2 6 y x 45 7) 16 x y 60 8) u v 2 30-1- Using the 45-45-90 triangle theorem, find the value of h, the height of the wall. Complete the congruence statement: Once you you know the length of YX, find the length of the lower base, ZX. Answers with radicals must be reduced and rationalized. Select two options. RDr Expert Help. This application really helped me in solving my problems and clearing my doubts the only thing this application does not support is trigonometry which is the most important chapter as a student, the app will be the best in all calculating app. Lastly, the perimeter is P = x (3 + 3). Lindsay Bowden, 2018Some special right triangles may require you to simplifyradical expressions. Special Right Triangles Quiz Term 1 / 8 Which of the following could be the lengths of the sides of a 45-45-90 triangle? x][~?b(juh;q]6lIH*=bBQfF@,Q^Rd;57g7Rxor]}tr?qh?|~$`8/AO |y~C$Sj+iG'iGl>bHmO B 1-hh.h%7 Z=+%4\ But there is help available in the form of Unit. 35 b. What's so special about the two right triangles shown here is that you have an even more special relationship between the . Each leg of a 45-45-90 triangle measures 12 cm. .74XO|}N^8sD(%QOMq>!c,cPIT/f_`dE1rJr+(#^-$S nw^ @Xi|2 . Method 1: The diagonal of a square divides it into two congruent isosceles right triangles.Look at Figure 3 . Special Right Triangles Assignment and Quiz Special Right Triangles (30-60-90 and 45,45,90) triangles explained with formulas, examples and pictures. Given: Isosceles right triangle XYZ (45-45-90 triangle) Angle C is ninety degrees. Every right triangle has the property that the sum of the squares of the two legs is equal to the square of the hypotenuse (the longest side). Solve for x and y in the special right triangle. Describe in words the general trend in the country's population growth rate. What is the equation for finding the hypotenuse in a 45 - 45 - 90 triangle? a3+2a24a8>0, Write the meaning of each prefix used to name polygons. In our case, it's 4545\degree45-4545\degree45-9090\degree90 triangle. Math Theorems. How do users think about us. C Consider triangle PQR. \hline \text { Afghanistan } & 51.8 & 52.6 & 38.3 & 24.1 & 20.1 & 13.7 \\ Finding angle measures . Special Right Triangles Date_____ Period____ Find the missing side lengths. The short leg in a 30 - 60 - 90 triangle is across from which angle? Math Methods. What is the length of the hypotenuse of the triangle. M:q_QH5X/ ;!jD'LVDW WtEb#|eG.PI:sc+nt]Z@lh b}N \+bs9\?vElb]L? Geometry chapter 7 test right triangles and trigonometry answer key - Study with Quizlet and memorize flashcards containing terms like Theorem 7.1 Pythagorean . . Right triangles test answer key - Instructions: Solve each triangle. Special right triangles CCSS.Math: HSG.SRT.B.5, HSG.SRT.C.8 Google Classroom In the right triangle shown, m\angle A = 30\degree mA = 30 and AB = 12\sqrt {3} AB = 12 3. b = ? View answer_key_-_special_right_triangles__glencoe_.pdf from GEOMETRY 0809 at San Francisco State University. Improve your academic performance . PDF ANSWER Unit 8 Mid-Unit Quiz (Through Lesson #4) - Form A. Delta math special right triangles answer key - This Delta math special right triangles answer key provides step-by-step instructions for solving all math . Fixed: Angle Bisectors of a Triangle: Answer could appear twice in multiple choice questions Fixed: Directions in Trapezoids questions . GEOMETRY. Consider triangle QRS. ____ 1. a. Really helps not only dose it give you the answers it also shows you and explains the answer thoroughly. Special Right Triangles Properties of 30-60-90 Triangles The sides of a 30-60-90 right triangle also have a special relationship..2In a 30-60-90 right triangle the hypotenuse is twice the shorter leg. Show that the longer leg is 303 times the shorter leg. Special Right Triangles. Get Homework Help Now Special Right Triangles. Special Right Triangles Review SOLVING RIGHT TRIANGLES WORKSHEET. A 45-45-90 triangle is one type of special . . This special right triangles calculator will help you solve the chosen triangle's measurements in a blink of an eye. Incredible app, just amazing, it is a very helpful app, whenever I do math . Definitely did not use this to cheat on test, good luck to is downloading phonemath, the app would tell me that it is the radical sign. Solution. answer choices 45-45-90 30-60-90 Isosceles Obtuse Question 4 120 seconds Q. You can also use the Pythagorean theorem ", but if you can see that it is a special triangle it can save you some calculations. ratios . 5~3I?d >gU8xL~A[#Jw_%Zz2YvNs`7v@jwU] C/ ][G%!8%5-y/C1$;U tG>L.:G0[Gqm vbr9;W+e+#l&n%;p0D(mN~}? x]Kf-Y3OvI7u5AqB_Ot`p) Which statements regarding triangle XYZ are correct? Of course, the most important special right triangle rule is that they need to have one right angle plus that extra feature. Special Right Triangles Assignment and Quiz Special Right Triangles: Types and Properties - Quiz & Worksheet 1. There is a 30 angle of elevation from the ground to the top of the pole. <> While there are more than two different special right triangles, these are the fastest to recognize and the easiest to work with. How many degrees are in a right triangle. Geometry right triangles test answer key - Best of all, Geometry right triangles test answer key is free to use, so there's no sense not to give it a try! Web the area is 3 opposite. \text { China } & 21.5 & 18.7 & 12.4 & 7.1 & 7.0 & 7.7 \\ ;9 Which of the following could be the lengths of the sides of a 45-45-90 triangle? Right Triangle Trigonometry Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. For more on this special ratio, head to our golden ratio calculator. Which statements regarding triangle XYZ are correct? Here, we debate how Special right triangles test answer key can help students learn Algebra. The wall can be divided into a rectangle and a triangle. Ch. That allows quick calculations, so you don't need to use the Pythagorean theorem or some advanced method. Solve for a missing side in 45-45-90 and 30-60-90 special right triangles. Each leg of a 45-45-90 triangle measures. Yes they can form a right triangle, so they form a Pythagorean triple. What is the height of the pole? Solving for an angle in a right triangle using the trigonometric ratios. If you're seeing this message, it means we're having trouble loading external resources on our website. Some of the worksheets for this concept are Gina wilson all things algebra 2014 answers, Gina wilson all things algebra 2014 answers unit 2, Gina wilson unit 8 quadratic equation answers pdf, A unit plan on probability statistics, Name unit 5 systems of equations inequalities bell, , Geometry unit answer . Multiply that leg's length by 2. Trigonometry connects the two features of a triangleangle measures and side lengthsand provides a set of functions (sine, cosine, tangent), reciprocals, and inverses of those functions to solve triangles given angle measures and side lengths. \text { Death rate } \\ Answers with radicals must be reduced and rationalized. nona-_____. y=32sin4x. Do my homework for me. Unit 8 Unit 8 - Right Triangles and Trig problems & answers for quizzes and worksheets - Quizizz. What type of special triangle is this? To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Unit 8 right triangles and trigonometry test answer key. Choose the proper type of special right triangle. Carrabec High School. Get Started. The hypotenuse of a 45-45-90 triangle measures 128 cm. Solve Now. The special right triangles are right triangles for which simple formulas exist. Unit 8 right triangles and trigonometry test answer key . Student . Select the triangle you need and type the given values the remaining parameters will be calculated automatically. PDF DOCUMENT. [Eu'b 6]=.[T+/`dG Ah BL^_$pD5p}IY_^CTIk `a@WSx0}\g}5Hg+^HH]_$LL-PV%(WEY+^W]k`@jJQu@[-Yf]A[[&}k+}}3*06X~e%TZUBTw3e\^#Na0`5p7SR9@kBg]*i,Tt}UUX{[V$b|nJ5]sPYFW$,qJltVUr}'c^_'U?Kmp0|z7