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anonymous

  • one year ago

Quads 3 please help

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    The diagonals intersect at right angles and bisect the corners of the square.|dw:1443056876414:dw|

  3. anonymous
    • one year ago
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    oh okay

  4. anonymous
    • one year ago
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    for the rhombus, all sides are always congruent, so that's the 4th and 6th. diagonals aren't necessarily congruent, so not the 5th. the third b/c diagonals bisect corners. opposite angles are congruent so the 1st but not the 2nd.

  5. anonymous
    • one year ago
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    okay i still dont get it @peachpi

  6. anonymous
    • one year ago
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    @Mertsj do you get it?

  7. Mertsj
    • one year ago
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    yes

  8. anonymous
    • one year ago
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    can you explain it?

  9. Mertsj
    • one year ago
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    The figure is a square. All the sides are equal. The angles of the square and all right angles. The diagonals bisect the angles of the square and so they are all 45 degrees. The diagonals bisect each other and the diagonals are congruent.

  10. Mertsj
    • one year ago
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    |dw:1443059225044:dw|

  11. Mertsj
    • one year ago
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    |dw:1443059348234:dw|

  12. anonymous
    • one year ago
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    oh okay

  13. Mertsj
    • one year ago
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    |dw:1443059475757:dw|

  14. Mertsj
    • one year ago
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    |dw:1443059540994:dw|

  15. anonymous
    • one year ago
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    so this shape above is for the 2nd question?

  16. Mertsj
    • one year ago
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    |dw:1443059602046:dw|

  17. Mertsj
    • one year ago
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    Yes. The second question is about a rhombus.

  18. anonymous
    • one year ago
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    what about the 1st?

  19. anonymous
    • one year ago
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    im so lost

  20. Mertsj
    • one year ago
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    Do you know what a square is?

  21. anonymous
    • one year ago
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    yes

  22. Mertsj
    • one year ago
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    Do you know that all the sides of a square are equal?

  23. anonymous
    • one year ago
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    yes

  24. Mertsj
    • one year ago
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    Do you know what a diagonal of a square is?

  25. anonymous
    • one year ago
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    not so much

  26. Mertsj
    • one year ago
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    |dw:1443059854717:dw|

  27. Mertsj
    • one year ago
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    |dw:1443059900268:dw|

  28. anonymous
    • one year ago
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    oh okay got ya

  29. Mertsj
    • one year ago
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    |dw:1443059966447:dw|

  30. Mertsj
    • one year ago
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    Do you know that diagonals of a square are equal?

  31. anonymous
    • one year ago
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    yes i do

  32. Mertsj
    • one year ago
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    Answer question 1

  33. anonymous
    • one year ago
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    hk = gj ?

  34. Mertsj
    • one year ago
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    You must name the segments the way they are labelled and they are labelled using capital letters.

  35. anonymous
    • one year ago
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    HK = GJ ?

  36. Mertsj
    • one year ago
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    yes.

  37. Mertsj
    • one year ago
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    Do you know what perpendicular means?

  38. anonymous
    • one year ago
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    m<KLJ = m<HLJ ? and yes i do

  39. Mertsj
    • one year ago
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    yes

  40. Mertsj
    • one year ago
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    Do you know that the diagonals of a square bisect the angles?

  41. anonymous
    • one year ago
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    um sorta

  42. Mertsj
    • one year ago
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    Do you know what bisect means?

  43. anonymous
    • one year ago
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    m<HJG = m<GKJ?

  44. anonymous
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    yes

  45. Mertsj
    • one year ago
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    yes that is correct for number3

  46. Mertsj
    • one year ago
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    Do you know what perimeter is?

  47. anonymous
    • one year ago
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    yes i do

  48. Mertsj
    • one year ago
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    Answer number 4

  49. anonymous
    • one year ago
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    the answer is 4?

  50. Mertsj
    • one year ago
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    How many sides does a triangle have?

  51. anonymous
    • one year ago
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    3

  52. Mertsj
    • one year ago
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    What are the three sides of triangle HJK?

  53. anonymous
    • one year ago
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    2

  54. anonymous
    • one year ago
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    12?

  55. Mertsj
    • one year ago
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    The three sides are HJ and JK and HK

  56. Mertsj
    • one year ago
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    How long is HJ ?

  57. anonymous
    • one year ago
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    2?

  58. Mertsj
    • one year ago
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    How long is JK?

  59. anonymous
    • one year ago
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    2

  60. Mertsj
    • one year ago
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    How long is HK?

  61. anonymous
    • one year ago
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    2

  62. Mertsj
    • one year ago
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    how long is GL?

  63. anonymous
    • one year ago
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    2

  64. Mertsj
    • one year ago
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    Look at the picture. Clearly GH and GL are not labelled with the same number.

  65. anonymous
    • one year ago
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    \[\sqrt{2}\]

  66. anonymous
    • one year ago
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    which is 1.41

  67. anonymous
    • one year ago
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    right

  68. Mertsj
    • one year ago
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    Use the exact value. How long is KL ?

  69. anonymous
    • one year ago
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    \[\sqrt{2}\]

  70. Mertsj
    • one year ago
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    How long is KH?

  71. anonymous
    • one year ago
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    i dont know how to figure that out

  72. Mertsj
    • one year ago
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    \[\sqrt{2}+\sqrt{2}=2\sqrt{2}\]

  73. Mertsj
    • one year ago
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    Now find the perimeter of triangle HJK

  74. anonymous
    • one year ago
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    um

  75. Mertsj
    • one year ago
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    HJ +JK +HK = \[2+2+ 2\sqrt{2}=4+2\sqrt{2}\]

  76. Mertsj
    • one year ago
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    And that is the perimeter.

  77. anonymous
    • one year ago
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    uhh

  78. Mertsj
    • one year ago
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    What does uhh mean???

  79. anonymous
    • one year ago
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    i dont know how to solve that

  80. Mertsj
    • one year ago
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    Solve what?

  81. anonymous
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    so thats the perimeter the 2 + 2+ 2 equation

  82. Mertsj
    • one year ago
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    \[4+2\sqrt{2}\] is the perimeter and that is what the problem asked you to find.

  83. anonymous
    • one year ago
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    oh okay

  84. anonymous
    • one year ago
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    what about the 2nd question

  85. Mertsj
    • one year ago
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    The second figure is a rhombus. Do you know what that means?

  86. anonymous
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    i know what a rhombus is

  87. Mertsj
    • one year ago
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    What is it?

  88. anonymous
    • one year ago
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    its a parallelogram with opposite acute angles from what i remember

  89. Mertsj
    • one year ago
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    A rhombus is a parallelogram which has 4 equal sides.

  90. Mertsj
    • one year ago
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    So you need to know some stuff about a parallelogram.

  91. anonymous
    • one year ago
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    i know that

  92. Mertsj
    • one year ago
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    In a parallelogram, the opposite sides and parallel and the opposite angles are congruent and the consecutive angles are supplementary.

  93. Mertsj
    • one year ago
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    Do you know all that stuff?

  94. anonymous
    • one year ago
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    yup sure do

  95. Mertsj
    • one year ago
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    The diagonals of a parallelogram form a transversal between the parallel sides. Do you know that?

  96. anonymous
    • one year ago
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    its just when i do the check all that applies i can never really catch which ones are different

  97. anonymous
    • one year ago
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    okay

  98. Mertsj
    • one year ago
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    If two parallel lines are cut by the transversal, the alternate interior angles are congruent. Do you know that?

  99. Mertsj
    • one year ago
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    |dw:1443061913872:dw|

  100. Mertsj
    • one year ago
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    |dw:1443061950637:dw|

  101. Mertsj
    • one year ago
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    That means that angle 1 is congruent to angle 2

  102. anonymous
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    oh alright

  103. Mertsj
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    |dw:1443061999682:dw|

  104. anonymous
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    so A is congruent to C

  105. Mertsj
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    |dw:1443062058029:dw|

  106. Mertsj
    • one year ago
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    yes. Angle A is congruent to Angle C

  107. anonymous
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    so i check ABD is congruent CBD

  108. Mertsj
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    On what basis do you say that?

  109. anonymous
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    because of the picture about there all congruent to each other no?

  110. Mertsj
    • one year ago
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    |dw:1443062227396:dw|

  111. anonymous
    • one year ago
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    ohh okay i guess not

  112. anonymous
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    so AC = BD

  113. Mertsj
    • one year ago
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    That is one of the things these two problems is trying to teach you: In a square, the diagonals bisect the angles but not in a rhombus.

  114. anonymous
    • one year ago
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    oh

  115. Mertsj
    • one year ago
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    That is another thing these two problems show: In a square the diagonals are congruent but not in a rhombus.

  116. anonymous
    • one year ago
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    i guess

  117. Mertsj
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    But AB does equal BC because all the sides of a rhombus are congruent.

  118. anonymous
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    so the 2nd and 3rd bullet dont make sense so they dont apply

  119. Mertsj
    • one year ago
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    So which ones are you going to check?

  120. anonymous
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    so far the 1st and the 4th

  121. Mertsj
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    Not the 5th one right?

  122. anonymous
    • one year ago
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    and i think the 5th one applies

  123. anonymous
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    not the 6th one

  124. Mertsj
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    What are AC and BD called?

  125. anonymous
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    3 and 4 ? or i dont know

  126. Mertsj
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    |dw:1443062676347:dw|

  127. anonymous
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    so its Diagonal got ya

  128. Mertsj
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    |dw:1443062765075:dw|

  129. anonymous
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    so wouldnt that one apply

  130. Mertsj
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    No.

  131. Mertsj
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    What about number 6?

  132. anonymous
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    no i dont believe that one applies

  133. Mertsj
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    What is AD ?

  134. Mertsj
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    AD is a side of the rhombus

  135. Mertsj
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    What is CD?

  136. anonymous
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    okay and so is DC

  137. anonymous
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    *CD

  138. Mertsj
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    And what do you know about the sides of a rhombus?

  139. anonymous
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    all sides are equal

  140. anonymous
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    so 1,4 and 6 apply correct?

  141. Mertsj
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    I would say so but now here is a technicality to consider and you will have to make a judgment call based upon what you know about your teacher.

  142. Mertsj
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    |dw:1443063106522:dw|

  143. anonymous
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    oh okay

  144. Mertsj
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    |dw:1443063191291:dw|

  145. Mertsj
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    So you see that technically, 4 and 6 should have the lines over the top of the letters to indicate that they are segments. But I don't know if that is important to your teacher in this context or not. What do you think?

  146. anonymous
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    ehh i dont think she'll mind if i explain that to her she will be okay with what we choose

  147. Mertsj
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    That would be the sensible thing.

  148. anonymous
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    thank you so much i appreciate it

  149. Mertsj
    • one year ago
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    You're welcome.

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