Reflection over x-axis (x, y) -> (x, -y) coordinates for B A (3, 3) Which equation does not represent a line with an x-intercept of 3? AB/AB = 6/2 = 3 Picture below shows the image of the figure before and after dilation. Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. After the sequencing of transformations, reflection over the y-axis. How does multiplying a constant by the x variable of a function affect its graphical representation? -a + 7 = 2a 8 Type below: Find the scale factor and the perimeter of each square. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). Question 3. Type below: When k is between 0 and 1, the dilation is a reduction by the scale factor k. _____________, Answer: The blueprints are plotted on a coordinate plane. Find the lengths of the sides of the actual sign. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. 'LODWLRQV3UDFWLFH 6. The blue square is the preimage. Thus, the dilation that you can apply to the image to return it to the original preimage with center (0, 0) and scale factor k s to dilate the image by the scale factor \(\frac{1}{k}\), Question 9. a. Graph the image. Justify your answer. (x, y) -> (x, -y) Filled table is shown in the picture below. b. _____________, Answer: by 3.75 in. Mike DeVor. Green square -> (x, y) -> (2x, 2y) b. (x, y) -> (-y, x) Therefore, MNPQ is not a dilation of MNPQ, Question 8. _____________, Answer: scale factor of 1.5 (-7, -8) OL@6BxtiJZ7f)^H(pjl4.I`'Fq rm;`$PE\!0P{a!-;}])o1Y-f /PMM$4x*gv|DeF. |_]prV8!Q~~p The ratios of the lengths of the corresponding sides are not equal. R'(8.75, 2.5), _____________, Answer: k = \(\frac{3}{4.5}\) The blueprint is the preimage and the house is the dilated image. If you found any of these problems to be difficult, select the times table you are struggling with from the list of Related Lessons in the right-hand sidebar, and go back to review those multiples before moving forward. c. y = \(\frac{2}{3}\)x 2 Solve a + 7 = 2a 8. 1/3x = 1 coordinates for C (-2, -2) The figure and its final image are congruent. A: (x, y) (-x, y) Type below: )ABC Area = ________ square units, Answer: Type below: Dilation is a process of changing the size of an object while the object remains in the same Shape. (2, 2) What is the scale factor in terms of inches to inches? _____________. The dilation should be centered at 9, negative 9, and have a scale factor of 3. 21.2 Angle Theorems for Triangles. c. y = \(\frac{2}{3}\)x 2 Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. scale factor of 1.5 How can you use dilations to solve real-world problems? To create the actual sign shown, the drawing must be dilated using a scale factor of 40. Image perimeter: 32, Explanation: (2, -1) NFTs Simplified > Uncategorized > lesson 10 2 algebraic representations of dilations. LESSON 10-2 Practice and Problem Solving: A/B 1. Answer: In the given expression, we can notice that the y coordinate is multiplied with 2 Considering the fact that the x coordinate stayed the same and the fact that the y coordinate is multiplied with a number bigger then 1, we can conclude that given figure is vertically streched. lesson 10 2 algebraic representations of dilations; _____________, Answer: Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. So, the scale factor of the dilation is 3/4. Which transformation in part c will accomplish this? (4, 0) Test yourself by practicing the problems from Texas Go Math Grade 8 Lesson 13.2 Answer Key Algebraic Representations of Dilations. Type below: Therefore, we can conclude that the algebraic transformation rotated a figure counterclockwise for 90. Displaying all worksheets related to - Algebraic Representations Of Dialations. Coordinates after dilation b. y = \(\frac{1}{3}\)x + 1 The coordinates of the vertices of the original image are multiplied by 2 for the green square. LJKG i 80`- wMK0,7 {1L`j7 Fi@W_w ~H; po0]uWuvGG]nB\9LgxG:1~}_ G ________ feet, Question 9. Properties of Dilations Lesson Check Page No. (3, 8) Type below: Type below: algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. 37, 53, and 90, Question 6. Type below: Question 1. The blueprints are plotted on a coordinate plane. Original perimeter: 16 Mod 20-2.mp4. algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. x = 3 The backdrop scale factor is 1/20, not 1/12, Question 12. _____________, Explanation: D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) 21/7 = 3 mm Answer: 2 bedroom house for rent in evanston, il lesson 10 2 algebraic representations of dilations. Question 5. _____________, Answer: Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. Lesson 6 - Algebraic Representations of Translations (Notes, Key) Lesson 8 - Algebraic Representations of Reflections (Notes, Key) Lesson 10 - Algebraic Representations of Rotations (Notes, Key) Lesson 15 . A'(-\(\frac{1}{2}\), 1) , B'(\(\frac{1}{2}\), 1) C'(0, -1). _____________, Answer: b. c. a reflection across the y-axis After dilation The triangle ABC shown on the grid is the pre-image. There must be an even number of dilations and for each dilation applied to the figure, a dilation that has the opposite effect must be applied as well. d. (x, y) (\(\frac{2}{3}\)x, y) Type below: _____ Answer: Green square -> (x, y) -> (2x, 2y) Grade: 9, 10, or 11 . b. a = \(\frac{1}{3}\) Graph the image of each figure after a dilation with the origin as its center and the given scale factor. Algebraic Representations Of Dialations Worksheets - total of 8 printable worksheets available for this concept. (-5, 0) 15/5 = 3 mm What are the coordinates of the new room? 2a + a = 8 + 7 During the video lesson have students: Take notes on the material. ratio of y-coordinates = 2, Explanation: To start, let us determine the scale factor k by dividing the length of one side of the dilated image by the corresponding length of the original image. coordinates for B Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. Perimeter = 8 units Thus Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and start your practice. _____________, Answer: Then write an algebraic rule to describe the dilation. List the coordinates of the vertices of the preimage in the first column of the table. Type below: In Exercises 710, the transformation of a figure into its image is described. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. C'((3. _____________, Answer: d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. y = 3x 1 (-4, 4) When k is between 0 and 1, the dilation is a reduction by the scale factor k. The scale factor of the dilation is _______. The business owner would like it on the top. _____________, Explanation: Describe two transformations that will do this. Quadrilateral DEFG has sides measuring 16 m, 28 m, 24 m, and 20 m. Quadrilateral DEFG has sides measuring 20 m, 35 m, 30 m, and 25 m. Type below: Type below: Q'(2.5, 2.5), _____________, Answer: a. (0, 4) The blue square is the preimage. velvet carpet for bedroom. dilation with a scale factor of 0.5 b. So, to learn maths in the best way, you must refer to Go Math Grade 8 Answer Key. Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. H(5, 4) H'(5 1.5, 4 1.5) H'(7.5, 6) (4) Lets find the ratio of length \(\frac{20}{400}\) = \(\frac{1}{20}\) _____________, Answer: a. (9, 6), (3, 6), (9, 3), (3, 3) (x, y) (x, 2y) 325, Algebraic Representations of Dilations Lesson Check Page No. a. a = -3 What are the vertices of the image? A'(-15, -12) Type below: Area = ________ square units, Answer: I Can identify and perform dilations given a scale factor and center of dilation, perform a dilation on a coordinate plane, and identify an algebraic rule for the dilation. ratio of y-coordinates = 4/2 = 2 The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. (x, y) (2.5x, 2.5y) Question 5. x = 3 _____________, Answer: Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). Type below: Download Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity pdf for free of cost. Rotate the drawing 180 around the origin. coordinates for B T'(2.5, 6.25), Question 9. 3a = 15 I (3, 6) Type below: Type below: MN = \(\sqrt{9}\) Two triangles, Triangle 1 and Triangle 2, are similar. ratio of x-coordinates = _______ b. Scale factor: 2 endstream endobj 135 0 obj <>stream Apply the indicated sequence of transformations to the square. At least one transformation must be a dilation with a scale factor other than 1, Question 6. ________. Sketch the image of the figure after the dilation. A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). Scale factor = 2 2 Perrino 2011-11-28 The Practice of Perioperative Transesophageal Echocardiography provides over 100 teaching cases ranging from the most common to the most challenging. (0, 1) Describe the transformations that will transform the image back into the original figure. ratio of y-coordinates = ____________, Answer: Given M(4.5, 6), N(9, 6), 0(9, 10.5), P(4.5, 10.5) and M'(3, 4), N'(6, 4), O'(6, 7), M(3, 7) center at the origin, Let us represent the dilation algebraically. algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. (-3, -8) Critical Thinking A dilation with center (0, 0) and scale factor k is applied to a polygon. (-2, 1) Critical Thinking MNOP has vertices at M'(3, 4), N'(6, 4), O'(6, 7), and P'(3, 7). Area = 64 square units, Explanation: Now, to return the dilated image to preimage having the coordinates of (kx, ky), dilate it by a scale factor \(\frac{1}{k}\), as shown below. Both Triangle S have Angle S of measures 38, 67 and 75. Type below: (show solution) FOCUS ON HIGHER ORDER THINKING Question 11 (request help) (1, 1) What is the scale factor for the dilation? (0, 4) Scale factor: 2 _____________, Explanation: 90 clockwise rotation, Question 12. Question 3. 1/3x = 1 ALGEBRAIC REPRESENTATIONS OF DILATIONS WORKSHEET Problem 1 : The triangle PQR shown on the grid is the pre-image. Question 2. . Type below: Sketch the image of the figure after the dilation. Complete Lesson 9 4 Algebraic Representations Of Transformations Answer Key online with US Legal Forms. Area = 64 square units, Explanation: Which represents the dilation shown where the black figure is the preimage? Answer: (1, 1) Lesson 16 - Combining Dilations (Notes, Key) 10. Two triangles, Triangle 1 and Triangle 2, are similar. G7 Math Lesson 10.2 Algebraic Representations of Dilations STUDY Flashcards Learn Write Spell Test PLAY Match Gravity algebraic expression Click card to see definition Click again to see term 1/15 Created by weiennlee TEACHER Terms in this set (15) algebraic expression dilation vertex (plural: vertices) (:vertices) Type below: h2S0PP02]KsSJ Tu! class problems. Area = 4 square units, Explanation: Find the scale factor and the perimeter of each square. _____________, Answer: How many feet? Name:&_____& &&&&&Date:&_____& Lesson:'10.2'Algebraic'Representations'of'Dilations'' What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5? > ~ y o Section 10.2: Algebraic Representation of Dilations. I(2, 4) I'(2 1.5, 4 1.5) I'(3, 6) (3) The algebric dilation is (x, y) (48x, 48y). D. Sketch the image after the dilation on the coordinate grid. A = (-4, 4), A = (-2, 2); 2x = 6 6cm 40 = 240cm a = 5, Question 5. Type below: (show solution) Question 6 (request help) Critical Thinking A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). _____________, Answer: 3/2 Options: d. The shorter leg of the drawing is currently on the left. (x, y) (0.8x, 0.8y) b. a translation down 3 units So, to have the best online maths practice, follow the questions, answers, and explanations available on Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity. Length of MN, given M(4.5, 6), N(9, 6). rotate 90counterclockwise, Question 4. Question 16. Type below: Write the algebraic representation of the dilation shown. Emathinstruction Algebra 1 Unit 10 Answer Key. This is called a reduction. (2, 2) Type below: Multiply each coordinate of the vertices of rectangle FGHI by 1, 5 to find the vertices of the dilated image. _____________, Answer: Question 2. Write the coordinates of the vertices of the preimage in the first column of the table. b. d. y = 3x 1, Explanation: What is the effect on the figure when k > 1? Students use algebraic representations of dilations worksheet is a grid units. Graph the dilation. a. Area = 4 square units, Explanation: G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) _____________, Explanation: Explanation: (9, 6), (3, 6), (9, 3), (3, 3), Question 2. For example, if the scale factor is "k", the algebraic representation of the dilation is For enlargements, k > 1 and for reductions, k Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Answer: Type below: 18/4 = 4.5 mm Since it changes the size of a figure, it has no something to do with the changes when it comes to the angles of the image. (-4, -2) scale factor of \(\frac{1}{3}\) _____________, Answer: y = 2/3 . d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: b. What is the algebraic representation of this dilation? Each case is succinctly presented in an easy-to-read question-answer, self-test format comprised of three printed pages of text and echo images. _____________, Answer: (2, -1) (x, y) (0.5x, 1.5y) (x, y) (y, -x) Answer: One inch on the blueprint represents how many inches in the actual house? _____________, Answer: 8.10.C: Description: explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90, 180, 270, and 360 as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and . A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) Answer: MN = 3, Now, let us determine the value of k, that is 2 = 4. (9, 6), (3, 6), (9, 3), (3, 3), Question 2. Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. _____________, Answer: The students of 8th standard can easily learn maths with the Go Math Solution Key on ccssmathanswers.com, Lesson 2: Algebraic Representations of Dilations, Question 1. Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. 320, Algebraic Representations of Dilations Page No. 7. ratio of y-coordinates = 2/1 = 2 (-4, 2) Type below: _____________, Answer: (x, y) -> (-y, x) 3a = 15 F (3, 3) Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. (1, -1) MN = 4.5, Length of MN, given M'(3, 4), N'(6, 4). (x, y) (y, -x) Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and begin your practice. c. (x, y) -> (3x, 3y) 10 x 10 = 7 x 2 = 10 x 9 = 5 x 8 = 10 x 3 = How did you do? What will the dimensions of the new room be, in feet, in the new house? d. What are the perimeter and area of the image? How does the dilation affect the length of line segments? Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. For enlargements, k > 1. original coordinates Question 3. In Exercises 710, the transformation of a figure into its image is described. c. (x, y) -> (3x, 3y) dilation by scale factor of 3 (x, y) -> (3x, 3y) Type below: June 5, 2022 Posted by: Category: Uncategorized 90 clockwise rotation, Question 12. Identify the scale factor used in each dilation. lesson 10 2 algebraic representations of dilationsbsn sports track order numberbsn sports track order number 24/8 = 3 mm a. (x, y) -> (1/3x, 1/3y), Question 8. H (7.5, 6) Find the scale factor and the perimeter of each square. -6/-3 =2; 6/3 = 2 20.3 Similar Figures. Perform a dilation on the coordinate plane. (0, -4) Texas Go Math Grade 8 Lesson 13.2 Explore Activity Answer Key. b. y = \(\frac{1}{3}\)x + 1 (x, y) (2.5x, 2.5y) (-3, -4) Question 13. A dilation with center (0, 0) and scale factor k is applied to a polygon. Scale factor: ________, Question 9. What is the effect of a negative scale factor? Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). 2. Answer: Since 1 foot = 12 inch, the scale factor is k = \(\frac{12}{\frac{1}{4}}\) = 48, b. translation 2 units left and 2 units up, Question 6. Date Class LESSON Algebraic Representations of Dilations Reteach You dilate a figure using the origin as the center of . a. Scale factor: _________ scale factor = 3, Explanation: The figure is reflected across the y-axis and dilated by a scale factor of 4. I (3, 6) b. Graph the image of the figure using the transformation given. (-4, 3) If the scale factor is greater than 1, the image is an enlargement. The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. Scale factor: _________ The blue square is the preimage. Yes; Quadrilateral DEFG is a dilation of quadrilateral DEFG. . _____________, Question 9. Type below: Type below: _____________. _____________, Answer: (-1, 1) Perimeter = 2l + 2w = 2(8) + 2(8) = 32 How can you describe the effect of a dilation on coordinates using an algebraic representation?. What is the length of a side of the image? Algebra Review. (2, -2) The stage crewmembers calculation is incorrect. When taking . (x, y) (\(\frac{2}{3}\)x, y) ________ inches (-1, 1) What is the effect on the figure when k > 1? Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. Type below: Perimeter = 8 units _____________. Solve a + 7 = 2a 8. Answer: (x, y) -> (2.5x, 2.5y), Question 3. Save or instantly send your ready documents. Type below: Question 6. Question 4. area = l.w = 8 .8 = 64, Question 6. Scale factor: 2 _____________, Answer: The center of dilation is the origin and (x, y) (3x, 3y). 130 0 obj <>stream 8th Grade Texas Mathematics: Unpacked Content 5. _____________, Explanation: Properties of Dilations Lesson Check Page No. The lengths are 240 cm, 320 cm, and 400 cm, Question 6. D. Sketch the image after the dilation on the coordinate grid. c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. After dilation The scale factor is the number that describes the change in size in a dilation Make sure that students bubble in their answers for the front page (#1-7) and the back page (#8-14). 332, Go Math Grade 5 Answer Key Pdf | Go Math 5th Grade Answer Key Pdf, McGraw Hill Math Grade 8 Lesson 21.4 Answer Key Symmetry and Transformations, McGraw Hill Math Grade 8 Lesson 21.3 Answer Key Circles, McGraw Hill Math Grade 8 Lesson 21.2 Answer Key Polygons, McGraw Hill Math Grade 8 Lesson 21.1 Answer Key Quadrilaterals, McGraw Hill Math Grade 8 Lesson 20.3 Answer Key Right Triangles and Pythagorean Theorem, McGraw Hill Math Grade 8 Lesson 18.2 Answer Key Line Segments and Rays, McGraw Hill Math Grade 8 Lesson 20.2 Answer Key Triangles: Congruent and Similar, McGraw Hill Math Grade 8 Lesson 20.1 Answer Key Triangles: Acute, Right, Obtuse, Equilateral, Isosceles, and Scalene, McGraw Hill Math Grade 8 Lesson 2.2 Answer Key Problem Solving, McGraw Hill Math Grade 8 Lesson 2.1 Answer Key Multiplying and Dividing Whole Numbers. 10.2 Algebraic Representations of Dilations 8th grade Played 0 times Mathematics 4 hours ago by hhudson_96017 0 Save Edit Live modes Start a live quiz Asynchronous learning Assign homework 10 questions Preview Show answers Question 1 180 seconds Q. Dilate the figure by a scale factor of 3 with the origin as the center of dilation. A crewmember wrote wrong, the dilation is (x, y) (\(\frac{1}{20}\)x, \(\frac{1}{20}\)y). d. a = 15, Explanation: What is the length of a side of the image? ADDITIONAL EXAMPLE 1. Many students have loved the way of explanation given on Go Math Grade 8 Answer Key on our website. c. (x, y) (x, 2y) Dilate the image by a factor of 1/4 and reflect it back across the y-axis. )X}Dh=64z!vv 8 Write the coordinates of the vertices of the preimage in the first column of the table. Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. A: (x, y) (-x, y) Explain your reasoning. Type below: _____________, Answer: Answer: ________. A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). ratio of y-coordinates = ____________, Answer: Look at the coordinates of corresponding vertices. Triangle XYZ has angles measuring 54 and 29. (1, -1). Some dilations are reductions. The first idea is that we can construct representations of relationships between two sets of quantities and that these representations, which we call functions, have common traits. What dilation can you apply to the image to return it to the original preimage? Write the coordinates of the vertices of the preimage in the first column of the table. b. endstream endobj 131 0 obj <>stream What will the dimensions of the new room be, in feet, in the new house? What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5? For example, if the scale factor is k, the algebraic representation of the dilation is S'(8.75, 6.25), x 2 x 2 The blue square is the preimage. (x, y) -> (-x, y); (x, y) -> (x, 3y) (2x, 2y) 5. Question 9. When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. Mathematics. k = \(\frac{2}{3}\), Next, Let us represent the dilation algebraically, using C(4, -3) C'(3 4, 3 (-3)) C'(12, -9) .. (3) Type below: A = (-4, 4), A = (-2, 2); The best learning comes with the best learning guide. length |QR| = |8.75 2.5| = 6.25 inch If the dilation produce a larger figure the line segments of the dilated figure is longer than the original figure Also, if the dilation produce a smaller figure, the line segments of the dilated figure is smaller than the original figure. endstream endobj 132 0 obj <>stream Lesson 2: Algebraic Representations of Dilations, Question 1. What dilation can you apply to the image to return it to the original preimage? The figure is reflected across the x-axis and dilated by a scale factor of 3. 10.2 Algebraic Representations of Dilations. Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? Original perimeter: 24 Explanation: x = 3 d. a = 15, Explanation: 1. 0 = -2x + 6 (x, y) -> (1.5x, 1.5y) Type below: perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. Question 2. Coordinates after dilation C = (-2, -4), C = (-1, -2); _____________, Answer: 23 times. (x, y) -> (-x, y), Question 11. (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. Options: lesson 10 2 algebraic representations of dilations. A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Lesson algebraic representations of transformations 9 4, Do not edit changes must be made through file info, Pre algebra, Graph the image of the figure using the transformation, Ixl skill alignment, Unit .

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