course Mth 152 ñÀ[Ù”ñwߊzÏ°ÏÔ½ížçšý÷T“–éassignment #020
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17:41:31 query 9.1.36 Ray MO U ray OM **** How do you express the intersection of the two rays?
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RESPONSE --> MO
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17:42:02 ** STUDENT SOLUTION: The intersection of the two rays consists of the elements common to both sets, which would be MO. However, a union symbol is used in the question and a union is composed of all the elements found in atleast one of the two sets, which would also be MO. **
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RESPONSE --> Correct answer
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17:43:37 **** query 9.1.54 lines SR and TP intersecting at Q **** What are the names of the pairs of vertical angles for this figure?
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RESPONSE --> SQT and PQR SQP and TQR
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17:44:00 ** STUDENT SOLUTION: The vertical angles are SQT and PQR; SQP and TQR **
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RESPONSE --> Correct answer.
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17:47:57 **** query 9.1.60 5x - 129 vert with 2x - 1 **** What is the value of x and how did you obtain it?
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RESPONSE --> Vertical angles are equal. (5x - 129) = (2x-21) 5x - 129 - 5x = 2x -21 - 5x -129 = -3x - 21 -129 + 21 = -3x -108/3 = -3x/-3 36 = x 5x - 129 = 51 2x-21 = 51
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17:48:12 *&*& Starting with 5x - 129 = 2x - 21 to get 3x - 129 = -21. Add 129 to both sides to get 3x = 108. Divide both sides by 3 to get x = 36. To check substitute 36 in for x in the equation and simplify, getting 51 = 51.
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RESPONSE --> Correct answer.
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17:49:23 **** What equation did you solve to obtain x, and how did you get the equation?
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RESPONSE --> (5x - 129) = (2x - 21) Vertical angles are equal.
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17:49:35 Since the angles are vertical angles, they are equal to eachother, therefore, I set them up to be equal to eachother and then solved.To check myself, I then substituted my answer in for x on both sides of the equation to make sure they were equal.
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RESPONSE --> Correct answer.
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18:41:19 **** query 9.1.72 complement 10 deg less that 1/5 of suppl **** What is the measure of the angle and how did you get it?
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RESPONSE --> I have tried and tried to figure this one out without success.
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18:46:41 ** Let x be the degree measure of the angle. Then the supplement is 180 – x; 10 deg less than 1/5 the supplement is 1/5(180 - x) – 10. The complement is 90 - x. So the equation is 90 - x = 1/5(180 - x) – 10. Multiplying both sides by 5 we get 450 – 5 x = 180 – x – 50 so that 450 – 5 x = 130 – x. Adding x – 450 to both sides we get -4x = -320 so thatx = 80. The complement of 80 deg is 10 deg. The supplement of 80 deg is 100 deg; 1/5 the supplement is 1/5 * 100 deg = 20 deg, so the complement 10 deg is 10 deg less than the supplement 20 deg. **
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RESPONSE --> I understand now.
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18:47:46 **** What equation did you solve to obtain the measure of the angle?
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RESPONSE --> 90 - x = 1/5(180-x) - 10
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18:48:22 Student Response: I determined which equations represented the degree measure of the angle, complement, and supplement. I then substituted those in the equation using the worded problem. 90 - x (complement) = 10 (10 less than) - 1/5 (1/5 of the supplement) 180 - x (supplement).
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RESPONSE --> Correct answer.
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18:49:06 **** Query Add comments on any surprises or insights you experienced as a result of this assignment.
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RESPONSE --> No comments.
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18:49:11 The query was basically what I expected it to be.
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RESPONSE -->