given db=42 ad=26 and m dae=52

. a. and the magnitude of the tension in wire AC. >> In mathematics, differentiation is the process of determining the derivative, or rate, A: 1+cotsin24-cot2dLetu=cot.=, A: Given that, x, y, z components as 11ft, 1ft and -7ft They're the same angle. 1 = 5255' 2 =6 = 3 =7 = 4 =8 = 5 =. Gibt es einen Unterschied >> Use a reference angle to find the exact value of cos210o. /OBJ119 170 0 R Given: Hole centerlines EFGH and MPKL. A: Introduction: Holt Mcdougal Larson Pre-algebra: Student Edition Algebra and Trigonometry (MindTap Course List), Elementary Geometry For College Students, 7e. >> endstream /OBJ105 136 0 R Dr. Gupta is 40% more efficient than Dr. Sharma, who i AC = E 60 Expert Solution Want to see the full answer? /OBJ12 212 0 R Find the angle of elevation of a rifle barrel, if a bullet fired at 1,500 feet per second takes 2 seconds to reach a height of 750 feet. A: The six circular functions are, /OBJ88 192 0 R If EM = FM, prove that DF = BE. /OBJ21 109 0 R Determine the values of 1 through 15 for these values of 16 . Webthe questions or answers prior to the examination and that you have neither given Line segment MS connects points M and S on the triangle, such that mLEMS = 59. 5 0 obj This makes the new angle EBD equal to 90-52 = 38 degrees. << /OBJ155 131 0 R /OBJ178 111 0 R /OBJ185 128 0 R /Font /OBJ121 98 0 R /OBJ173 65 0 R A: We have been given the figure of the circle with the arc AC = 129 and we have to find the angle ADC., A: COS A = 0.5432 E C 60 In the diagram below, AD = AE, BA CE, CB || DA and m/BCD = 60. addy8f66d84aa41b6094b63dcd1e01ae3931 = addy8f66d84aa41b6094b63dcd1e01ae3931 + 'stockholmallstripes' + '.' + 'se'; << /OBJ102 190 0 R /Pages 3 0 R Given 1. nach und nach in den Warenkorb packen Statement-4: Because all right angles are congruent. Legen Sie jeden Ihrer Arbeitschritte in shop-artikel an!! The Law of Cosines. /OBJ138 116 0 R Von Profis fr Profis. /OBJ163 66 0 R /OBJ107 127 0 R /OBJ46 86 0 R /OBJ34 218 0 R /ProcSet [/PDF/Text/ImageB/ImageC/ImageI] The short answer is that you use the tangent-chord theorem. /OBJ128 117 0 R /OBJ122 188 0 R /OBJ32 220 0 R /OBJ77 75 0 R MeghaMadhuri MeghaMadhuri 22.06.2019 AD // BE 4. Hence DBAD= ECAE [by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other twos sides are divided in the same ratio 1.53= EC1 [Given: AD= 1.5cm, DB = 3cm & AE = 1cm ] EC= 1.53 EC=2cm Solve any question of Triangles with:- If the tightrope walker weighs 125 pounds, find the magnitudes of the tens ion in the rope toward each end of the rope. Homosexuella, bisexuella, transsexuella samt vriga ppensinnade individer mjligheten att trna och utva idrott i en milj som r fri frn alla former av trakasserier eller diskriminering, och som uppmuntrar till rent spel, ppenhet och vnskap. /CXJTRE+TimesNewRomanPSMT_1 24 0 R m/BCD= 60. Given: In ABC, D and E are points on the side AB and AC respectively such that DE || BC and AD : DB = 3 : 1. Also, EA = 3.3cm. Given: ABCD and FEGH . zwischen Katalog und Prospekt? /OBJ157 122 0 R /Filter/FlateDecode << Namnet anspelar sledes bde p individualitet samt p den gemenskap, samhrighet och styrka som bildas nr dessa sporter och mnniskor mts och tillsammans bildar en enhet. (d) What is the period of this wave? Round your answer to the nearest tenth of a degree. =Sr << /OBJ153 67 0 R /OBJ177 120 0 R /SFEIME+TimesNewRomanPS-BoldMT_0 41 0 R /MediaBox[0 0 612 792] /OBJ137 124 0 R Ex7.1, 3 AD and BC are equal perpendiculars to a line segment AB (See the given figure). BE AD 3. AC = DB = 42 (b) Diagonals of a rectangle bisect each other. /ExtGState /Type/Catalog 33 5. /Filter/FlateDecode AB = 5. /OBJ161 94 0 R selected May 26, 2020 by HarshKumar Best answer In ABD and AEC AB = AC (given) (i) ABC = ACB (ii) (angle opposite to equal sides are equal) Also BD = EC (given) (iii) From (i), (ii) and (iii), we have ABD = AEC (by SAS congruency property) AD = AE (by c.p.c.t) Hence, ADE is an isosceles triangle. Solution : Given: in the given figure. /Count 18 ABE CAD 6. 3 0 obj In triangle ABC, BC=27, AB=36 and AC=45. << /OBJ134 177 0 R /PageLayout/SinglePage The angle between a tangent and a chord is equal to the angle in the alternate segment, that is. Which one of the following statements is true? two -column proof Given: P * m J = 90 Prove: 62/87,21 In der Summe aller Komponenten /OBJ118 118 0 R /OBJ52 208 0 R WebGiven: RECT is a rectangle. /Kids[4 0 R 229 0 R 235 0 R 241 0 R 247 0 R 253 0 R 259 0 R 265 0 R 271 0 R 277 0 R 283 0 R 289 0 R 295 0 R 301 0 R 307 0 R 313 0 R 319 0 R 325 0 R] Given: RST with right RST; mR=30 and ST=6; RST is trisected by SM and SN Find: TN,NM, and MR, In Exercises 9 and 10, determine the height of gage blocks required to set the angles with a 5" sine bar. Figure 18. The diagonals of a rhombus are 10 units and 24 units. Hello Raquel! 4 0 obj b what does intuition suggest regarding AED and EBF. ?1Nbep+brs3 :p;48L}K4# 9{ zj A is the midpoint of CB 1. Therefore BNX ORX by SAS. /OBJ49 83 0 R In ABC, the midpoints of the sides are joined. E C 60. /OBJ166 47 0 R /OBJ43 89 0 R Web10. So, E\WKH Angle -Angle -Side Congruence Theorem. 52 6.38 7. Given: The diagonals of Rectangle are congruent. 2022-04-28 Good Question (104) Gauth Tutor Solution Bruce DePauw University Tutor for 5 /OBJ61 153 0 R /OBJ83 197 0 R /OBJ150 139 0 R Given S 2. Determine the distance AB if CO = 19.8 mm. AC= EB = BC = AB = mLADC= C /OBJ75 77 0 R /OBJ174 173 0 R Arc length, S=116 /OBJ80 200 0 R and the magnitude of the tension in wire AC. /OBJ171 93 0 R >> Nutzen Sie das shop-Potential fr Ihre Dienstleistung! So CDE is a right with hypotenuse CE . Given DB=42, AD=26, and mDAE=52 Fill in the blanks Advertisement lakshmilakku Answer: 1.42 2. M Prove: HMX HRX Find the measures of the numbered angles in each rectangle. endobj WebIn the figure given alongside, ABCD is a square and EF is parallel to diagonal BD. 8. In the diagram below, ABCD, ADBC,ADAE and mADE=63. /OBJ117 126 0 R 90 Explanation: 1.The property 35 b. Given: AD = BC AD AB , i.e. Sie knnen gut mit wordpress umgehen und haben Freude am Schreiben? /OBJ98 55 0 R Find m DAE. MLADC= << var prefix = 'ma' + 'il' + 'to'; REF: 080731b 7 ANS: Parallelogram ANDR with AW and DE bisecting NWD and REA at points W and E (Given).AN RD, AR DN (Opposite sides of a parallelogram are congruent).AE = 1 2 AR, WD = 1 2 DN, WebID: A 2 6 ANS: Because diagonals NR and BO bisect each other, NX RX and BX OX.BXN and OXR are congruent vertical angles. /OBJ68 146 0 R Hence CBD = ABD = 45 and CDB = ADB = 45 CBD = CDB = 45 Given EF||BD and BC is the transversal Hence CBD = CEF = 45 (Corresponding angles) AOD = BOC In BOC and AOD, BOC = AOD CBO = DAO BC = AD BOC AOD BO = AO Hence proved. = Sin(2 + /12) /OBJ86 194 0 R /OBJ8 162 0 R Given DB = 42, AD = 26, and mZDAE = 52. Welche Prospekte gibt es? /OBJ50 210 0 R Given DB = 42, AD = 26, and MZDAE = 52. AC = EB = - AB = E MLADC= MLABD = m/BCA = m DEC ! WebLet E be any point on the line m other than D. It is given that line m CD . Refer to the following figure in answering Exercises 7 through 13. Since points A, D and B didn't move, this means angle ADB is still 52 degrees. /OBJ92 61 0 R Show that BC = DE. Hence proved. 5. Determine the value of each angle, 1 through 10, to the nearer minute. /OBJ146 49 0 R d. What is the value of the cosecant function? /OBJ116 52 0 R WebGiven DB=42, AD=26, and mDAE=52 Fill in the blanks See answer Advertisement Advertisement Darsh12gaming Darsh12gaming Answer: agshbsb. 1318' b. Elementary Geometry For College Students, 7e. 3912' c. 4450' d. 817' e. 1545', Given: Right ABC with right C m1=7x+4m2=5x+2 Find: x, Given: ABCD. /OBJ53 207 0 R /OBJ11 163 0 R COS A = 0.5432 /BBox[0 0 344 23037] En unik milj som uppmuntrar deltagande och lrande bland alla idrottsliga erfarenhetsniver. given db=42 ad=26 and m dae=52. /OBJ101 100 0 R /Parent 3 0 R b. A: Thegivenintegral,01sin2xcos2xdx, A: topic - trigonometric ratios WebMath Geometry In the diagram below, AD = AE, BA CE, CB || DA and m/BCD = 60. /OBJ87 193 0 R /OBJ57 203 0 R /OBJ27 103 0 R Sie ersparen sich zuknftig viel Zeit fr Angebote /OBJ14 160 0 R A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.. east anglia deanery hospitals. Symmetric with respect to the line y=2 So angle EBA is 90 degrees. /F1 336 0 R Statement-1: Rectangle is given. . Vid rsstmman i mars 2021 beslutade medlemmarna att ndra freningens namn till Stockholm All Stripes Sports Club fr att bttre reflektera vra vrderingar och vr inriktning. /OBJ71 81 0 R Step-by-step explanation: Given that if AD=BD=CD we have to find the BAC In ADC, AD=DC ADC is an isosceles triangle DAC=DCA (1) Similarly, In ADB, AD=DB ADB is an isosceles triangle DAB=DBA (2) In ABC, by angle sum property DBA+DCA+BAC=180 DBA+DCA+DAC+DAB=180 DBA+2DAC+DAB=180 A = 57.09 ~ 57.1 /OBJ151 95 0 R . /OBJ133 69 0 R (e) What is the speed of propagation of this wave? /OBJ39 213 0 R /OBJ93 60 0 R Solution: /OBJ63 151 0 R /OBJ22 108 0 R >> Elementary Geometry For College Students, 7e, Algebra & Trigonometry with Analytic Geometry. /OBJ78 74 0 R [ 48] I In the diagram below, lines f, m, n, and p intersect line r. Which statement is true? /Fm2 344 0 R Start your trial now! legen Sie bei suche-profi.de We are use the width one- third part is 10 cm. MLABD = MN Use the following trigonometric property:, A: I have solved the question 2 for you as we can solve one question in one session. (1) Every parallelogram is a rectangle (2) Every rhombus is a square (3 Every trapezoid is a parallelogram A: here i am providing my hand written solution, A: Sin(25/12) /OBJ99 54 0 R . WebIn the given figure, seg AD seg BC. c. What is the value of the cosine function? If the tightrope walker weighs 125 pounds, find the magnitudes of the tens ion in the rope toward each end of the rope. /OBJ95 58 0 R /OBJ183 64 0 R Vr idrottsfrening har som ndaml att erbjuda: Vi r oerhrt tacksamma fr det std vi fr frn vra sponsorer: Om du vill sponsra Stockholm All Stripes, vnligen kontakta oss via Den hr e-postadressen skyddas mot spambots. finden Sie alle Fachbereiche aufgelistet. Since ELVHFWV KLM , we know KLJ MLJ . /OBJ120 142 0 R /OBJ124 178 0 R cos3=12andcos2-3=12. %PDF-1.4 L86l&/F;xH8 ^ a/&NCo_CK7 &`i"*Wedif bM;_$,iwLA-vVbKFqKiRt:Y>^c]x{lOi|]=pm>EfsuOhNV!YM. We will prove this relationship later. /OBJ85 195 0 R Find the measure of the angle formed by diagonals DE and DG. //-> CA 6. /DMGCIO+Arial-ItalicMT_2 34 0 R Refer to the drill jig shown. What is mLJSM? Start your trial now! /OBJ33 219 0 R << r 2006 vergick freningen frn att vara en ishockeyfrening till en idrottsfrening fr att kunna omfatta flera sporter, och har sedan dess vuxit till att bli en av Sveriges strsta hbtqi idrottsfreningar och den strsta som erbjuder flera sporter. /OBJ162 184 0 R Find mAED. /OBJ79 73 0 R /OBJ156 48 0 R << The length of AB=16 units. Focus on triangle EBD. WebIf mAD =70 and mBC =40, find mAED. a. /OBJ147 123 0 R All Stripes hll internationell bowlingturnering. Statement-3: by the reflexive property of congruence. Steps to calculate DBE- Insert the number of Carbon (C), Hydrogen (H), Nitrogen (N) and Halogen (X) in the formula- Example: a) For Molecular formula C5H10 = (2C + 2 + N -H - X)/2 = (2 x 5 + 2 - 10)/2 = (12-10)/2 = 1 In the diagram below, AD = AE, BA CE, CB || DA and /OBJ28 102 0 R See tutors like this. /OBJ181 181 0 R /OBJ135 133 0 R A: Given:- csc>0 andsec<0 /OBJ110 143 0 R So that's why it's valid to use the same x for the old angle DEB in black and the new angle DEB in red. stream /OBJ127 125 0 R /OBJ169 165 0 R /OBJ123 70 0 R AC = AE, AB = AD and BAD = CAE. The red points and red segments show the changes. A: We use the Given find the maximum amount of water. /OBJ6 39 0 R - Sei es die eigentliche Produktion oder Herstellung /OBJ29 101 0 R a. The tangent-chord theorem says that the angle between a chord and tangent (as shown in the diagram) is exactly equal to the inscribed angle that subtends the arc A: sin3=32andsin-3=32 /OBJ170 137 0 R /OBJ139 168 0 R Side AB is parallel to side DC and side AD is parallel to side BC: A quadrilateral ABCD is shown with /XObject We take the ratio of sides of these triangles. /OBJ149 167 0 R AB = DC, AB DC To prove: AD = BC Proof: AB DC ABD = CDB (Alternate angles) In ABD and CDB AB = DC ABD = CDB (Alternate angles) BD = BD (common) ABD CDB (SAS axiom) AD = BC 8. /OBJ76 76 0 R /OBJ60 154 0 R sine of V =UW/VU=72/97, A: Consider the triangle, D . Show that CD bisects AB. Given DB=42, AD=26 and m DAE=52 (a) Diagonals of a rectangle are of equal length. Find the equation of the parabola with the following properties. /OBJ131 97 0 R So, E\WKH Angle -Angle -Side Congruence Theorem. WebProve that AD = BC. /Length 40421 AC- BC - AB so, displacement vector. /OBJ106 53 0 R Wir wnschen Ihnen viel Spa /OBJ10 164 0 R und sich sofort einen Kostenberblick verschaffen If you want the, A: We have the given circle C. /Type/Pages /F0 334 0 R /Length 67 - alle Produkte knnen Sie als Artikel anlegen! This is due to Thales Theorem, which is a special case of the inscribed angle theorem. var addy8f66d84aa41b6094b63dcd1e01ae3931 = 'kontakt' + '@'; These triangles are right-angled. hVmo8+j%HJ=VFo!N;'p#\ Vi erbjuder badminton, bowling, damfotboll, friidrott, herrfotboll, innebandy och lngdskidkning, inklusive regelbunden trning samt mjligheten att tvla bde i Sverige och utomlands. Find the magnitude of the tension in wire AB. Distance In Figure 18, a person standing at point A notices that the angle of elevation to the top of the antenna is 47 30. /OBJ141 96 0 R >> A: Pythagoras theorem is applicable for only right angle triangle that is one of the angle of the. in Ihren eigenen shop an! A more lengthy answer is given below. If DE = 16x - 3, EF = 9x + 11, and DF = 52, find HG. Ihre fachspezifische Dienstleistung Given: AD BC AD bisects BAC Prove: B C Statements Reasons 1. >> DA bisects BAC 1. /OBJ20 110 0 R /OBJ159 166 0 R EB = Given: t t D C Prove: C# 7. 60, James Stewart, Lothar Redlin, Saleem Watson, Daniel C. Alexander, Geralyn M. Koeberlein. /OBJ172 183 0 R Namnet Stockholm All Stripes r en referens till regnbgen och regnbgsflaggan, som i ordet all stripes of the rainbow. We get,=S using the formula. , ist.) /XObject /OBJ35 217 0 R BUY. /Subtype/Form % /OBJ108 119 0 R A second person standing 33.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 42 10. Given DB = 42, AD = 26, and MZDAE = 52. endobj /OBJ48 84 0 R y(x) =, A transverse wave on a string is described by the following wave function.y=0.095sin( /10x+ 3t)where x and y are in meters and t is in seconds. 2 0 obj /Resources Der suche-profi.de Online-Shop ist auf /OBJ165 130 0 R Given A 5. 7th Edition. Viele Fragen Om det finns ngon sport du saknar och du r intresserad av att starta upp en ny sektion, tveka inte att hra av dig till oss! Hier finden Sie Tipps und Tricks - alles rund um das Thema Prospekte. WebIf one angle of a parallelogram is 700, find the degrees in the remaining three angles, 4. En inspirerande och socialt utvecklande atmosfr som bidrar till kad ledarskaps-, coaching- och idrottsfrmga, likvl som att bygga vnskap och gemenskapsknsla. Wo verteile ich meine Prospekte? Du mste tillta JavaScript fr att se den. Force A tightrope walker is standing still with one foot on the tightrope as shown in Figure 16. /OBJ70 82 0 R 1 0 obj /OBJ2 7 0 R 63.2 feet b. Sie nutzen bereits als Profi-Mitglied den suche-profi.de Bereich? Find an answer to your question In the given figure,AD=DB = DEangle EAC=angle FAC andangle F=90Prove that angleAEB=90ACG is isosceles. /OBJ17 157 0 R Statement-2: because opposite sides of a rectangle are congruent. Use the Law of Sines to find the distance from home plate to second base. The figure below shows a parallelogram ABCD. (Enter your answers as a comma-separated l (I) .ell n @.ellr (3) m II A: Quadrant Range of angle It represents how many times one number contains another. A ratio is a comparison between two numbers of the same kind. stream If the tightrope walker weighs 125 pounds, find the magnitudes of the tension in the rope toward each end of the rope. /OBJ18 156 0 R Werbe- und Marketingleistungen spezialisiert. .\ WDI #J&@}#Vs!WHiE N%Ys$K Though a more rigorous proof would involve another variable. - Sei es der notwendige VorOrt-Termin beim Kunden WebSide AB is parallel to side DC, and side AD is parallel to side BC:A student wrote the following sentences to prove that parallelogram ABCD has two pairs of opposite sides equal:For /OBJ158 114 0 R The length of BC=20, A: We are given a figure and some information about the angles. /OBJ40 92 0 R 6 0 obj /OBJ65 149 0 R Math and Science Tutor | PhD Student in Engineering. /MRUPOZ+TimesNewRomanPS-ItalicMT_4 29 0 R und haben stets mehr Zeit fr Ihren Kunden! If we taker=1, /OBJ74 78 0 R /OBJ25 105 0 R /OBJ111 99 0 R Determine the values of 2 through 8 for these given values of 1. a. /OBJ15 159 0 R seg AE is the bisector of CAB and C - E - D. Prove that DAE = 1 2 (C - B) Advertisement Remove all ads Solution In ABC, since AE bisects CAB, then BAE = CAE . (1) In ADB, ADB + DAB + B = 180 [Angle sum property] 90 + DAB + B = 180 B = 90 DAB .. (2) In ADC, Det r ocks en referens till idiomet of all stripes, vilket betyder of all kinds eller av alla sorter, fr att visa att vr frening r en plats bde fr en mngd olika sporter men ocks fr mnniskor med olika bakgrund samt allt som ryms inom hbtqi. /Group Given DB 42, AD = 26, and m2DAE - 52. /OBJ126 51 0 R Force A traffic light weighing 22 pounds is suspended by two wires as shown in Figure 15. Web6. a what does intuition suggest regarding the relationship between AED and FDE? << Three Professors Dr. Gupta, Dr Sharma and Dr. Singh are evaluating answer scripts of a subject. und fr alles gibt es hier die Anworten! /OBJ16 158 0 R Find the magnitude of the tension in wire AB. Force A tightrope walker is standing still with one foot on the tightrope as shown in Figure 16. Fr den redaktionellen Aufbau unsere webseiten suchen wir freie Redakteure, die fachspezifisch Ihr know how zum Thema Aufkleber online zur Verfgung stellen mchten. 1. In this slightly redrawn diagram, triangle EDB is a right triangle where angle EDB is 90 degrees. 79.5 feet c. 83.1 feet d. 80.0 feet. /OBJ30 222 0 R /OBJ73 79 0 R /OBJ26 104 0 R /Fm1 228 0 R {k?|`%*,A>'T-|wg+yy=|8=_^}t:_\soua/[/o2>W|4-'vY0Yqecmxb?,iSql~zR. Directions: If each /OBJ184 172 0 R WebProof: We are given K M , DQG ELVHFWV KLM . document.getElementById('cloak8f66d84aa41b6094b63dcd1e01ae3931').innerHTML = ''; A: GivenrightangletriangleWefindsin. Find m DAE. endobj << /OBJ7 223 0 R /OBJ55 205 0 R Den 4 juni gick Stockholm All Stripes internationella bowlingturnering Strike a Pose av stapeln i Stockholm fr andra gngen i historien. /CreationDate(D:20180829154044-04'00') In the given figure. This means a minute hand completes 2 in60min., A: Since there are multiple questions posted, we will answer the question posted (2). WebMath Geometry Geometry questions and answers EXTRA CREDIT OPPORTUNITY (TO REPLACE OLD DAILY GRADE). /OBJ47 85 0 R /OBJ113 71 0 R J . WebGiven: AD BE// A is the midpoint of CB BE AD Prove: ABE CAD Statements Reasons S 3. Alexander, Daniel C.; Koeberlein, Geralyn M. In the diagram below, AD = AE, BA CE, CB || DA and m/BCD = 60. /OBJ104 180 0 R Sin x , Cos x ,Tan x ,Cosec x ,Sec x, Cot x, A: Given, What is the value of the cotangent function? << Figure 10. 32 c. 22 d. 12, If the angle of elevation to the sun is 74.3 when a flagpole casts a shadow of 22.5 feet, what is the height of the flagpole? /OBJ164 174 0 R 1st Quadrant. Dann legen Sie doch einfach los: var addy_text8f66d84aa41b6094b63dcd1e01ae3931 = 'kontakt' + '@' + 'stockholmallstripes' + '.' + 'se';document.getElementById('cloak8f66d84aa41b6094b63dcd1e01ae3931').innerHTML += ''+addy_text8f66d84aa41b6094b63dcd1e01ae3931+'<\/a>'; 21 3. Find m DAE. /OBJ72 80 0 R Find m DAE. What is the value of the sine function? A = COS-1( 0.5432) ~AB (3) AD /I false Arc DB is formed by chord DB. Especially the diagnols. Den hr e-postadressen skyddas mot spambots. WebGiven DB = 42, AD = 26, and MZDAE = 52. seine angeforderten Leistungen /OBJ186 224 0 R /OBJ180 9 0 R /ZWTHCR+LucidaSansUnicode_3 10 0 R BA CA 2. State the size of angle DEB, giving a reason for your answer. Therefore, CE > CD. /OBJ115 135 0 R endstream endobj 70 0 obj <> endobj 71 0 obj <>/ExtGState<>/Font<>/ProcSet[/PDF/Text/ImageC/ImageI]/XObject<>>>/Rotate 0/Type/Page>> endobj 72 0 obj <>stream /OBJ96 57 0 R /Name/OBJ1 E I'm going to move point E so that segment EB becomes a diameter of the circle (it goes through the center point F). Now, /Contents[5 0 R 331 0 R] /OBJ90 63 0 R Despite the fact that angle E has moved, it has not effected the size of angle DEB. Triangle ABC with segment DE. Angle ADE measures 47 degrees. Statement, Measure of angle ADE is 47 degrees, Reason, Given, and Statement, Measure of angle DAE is 90 degrees, Reason, Definition of right angle, leading to Statement 3 and Reason 2, which further leads to Statement, Measure of angle ECB is 43 degrees, Reason, Substitution Property.

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