course Mth 152 This is assignment 20 and 21 Dߢ˻yfy˺hCŗassignment #020
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19:03:59 query 9.1.36 Ray MO U ray OM **** How do you express the intersection of the two rays?
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RESPONSE --> The two rays would intersect where the elements are the same in both which would be MO
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19:04:04 ** 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 --> o.k.
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19:05:22 **** 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 --> angles would be SQP and TQR, and SQT and PQR
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19:05:26 ** STUDENT SOLUTION: The vertical angles are SQT and PQR; SQP and TQR **
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RESPONSE --> o.k.
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19:08:13 **** 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 --> 5x -129 = 2x -21 3x - 129 = 21 3x = 129 - 21 3x = 108 x = 36
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19:08:19 *&*& 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 --> o.k.
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19:10:07 **** What equation did you solve to obtain x, and how did you get the equation?
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RESPONSE --> the angles are equal to each other because they are vertical angles. If you put the answer in as the x on both side they come out equal.
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19:10:11 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 --> o.k.
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19:17:25 **** 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 --> the angle is meaured as x the sup. would be 180 - x 10 degrees less than 1/5 would be 1/5 x ( 180 -x ) if 180 is the supplement then the complement would be 90. 90 - x = 1/5 (180 - x) -10 5 x 90 = 450 5 x 10 =50 450 -5 x =180 -x -50 450 - 5x = 130 -x I'm stuck
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19:17:53 ** 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 --> o.k. I'll go back and work this again, but I think I undrstand
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19:19:49 **** What equation did you solve to obtain the measure of the angle?
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RESPONSE --> I didn't finish the previous problem but I started it by using 90 - x = 10 less than 1/5(180- x0
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19:19:52 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 --> o.k.
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19:20:19 **** Query Add comments on any surprises or insights you experienced as a result of this assignment.
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RESPONSE --> No surprises
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19:20:24 The query was basically what I expected it to be.
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RESPONSE --> o.k.
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ۮcaͣfdGw|g assignment #021 021. `query 21 Liberal Arts Mathematics II 11-09-2008
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19:21:33 Liberal Arts Mathematics II
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RESPONSE -->
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19:21:39 Asst # 21
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RESPONSE -->
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19:21:48 03-25-2003
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RESPONSE -->
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19:23:58 **** query 9.2.6 sq must be rhombus **** Is the statement true or false and why?
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RESPONSE --> This is a true statement because a square has to have all four sides equal. It wouldn't be a rhombus if all of the sides were no equal in length.
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19:24:05 ** This statement is true. A parallelogram is a quadrilateral with two pairs of parallel sides and a rhombus is a parallelogram with all sides having equal length. All sides of a square have equal length. If a square were not a rhombus then all sides would not be of equal length. It is not true that a rhombus must be a square. The angles of a rhombus do not have to be right angles, while the angles of a square do. **
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RESPONSE --> o.k.
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19:27:08 **** query 9.2.10 parallelogram must be rect and rect must be parallelogram **** Is the statement true or false and why?
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RESPONSE --> This is a false statement because a rectangle is a parallelogram but a parallelogram does not have to be a rectangle.
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19:27:12 ** A rectangle is a parallelogram but a parallelogram is not necessarily a rectangle, so the statement is false. **
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RESPONSE --> o.k.
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19:33:22 **** query 9.2.18 rb with 4 loops **** Is the curve simple, closed, both or neither?
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RESPONSE --> This is a closed curve because there is not a distinguishable starting and stopping point. It also is not simple even though it can be drawn without lifting the pencil from the paper.
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19:33:29 This is only a closed curve because its starting point and ending point are the same and it can be drawn without lifting the pencil from the paper. It is not simple because some points are passed through twice.
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RESPONSE --> o.k.
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19:36:05 **** query 9.2.24 ellipse **** Is the region inside the curve convex or not, and why?
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RESPONSE --> the region inside the curve is convex because for any two points inside the figure, the line segment is completely inside the figure.
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19:36:10 The region inside is convex because the line segment connecting any two points is completely inside the figure.
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RESPONSE --> o.k.
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19:42:34 **** query 9.2.48 A 30 deg more than B which equals C **** What are the measures of the three angles?
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RESPONSE --> x +x +x = 180 degrees 180 = 180 -30 = 150 150/3= 50 x = 50 50+50+50 = 150 A= 30 +50 B = 50 C = 50
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19:42:44 Angle A + Angle B + Angle C = 180 deg. If x is the degree measure of B then angle A has measure x + 30 degrees and angle C has measure x degrees. So we have x + x +30 + x = 180 3x + 30 = 180 3x = 150 x = 50 Angle B and Angle C are both equal to x, i.e., to 50 deg. Angle A = 50 deg + 30 deg = 80 deg To check, 80 + 50 + 50 = 180.
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RESPONSE --> o.k.
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19:49:51 **** What equation did you solve to obtain your answer, and how did you use the solution to determine all angles?
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RESPONSE --> The sum of the angles of a triangle is 180. You have three angle. I then subtracted the number of degrees more that angle A = to. 180 -30 = 150 I divided 150 into the three angle, which would make each angle 50. Angle A is 30 degrees more than B which is equal to C. If all three angles are 50 and you add thirty more to angle A, that would make angle A equal to 80. B and C would be equal at 50. 80 + 50 + 50 = 180
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19:50:00 Student Response: The definition for the angle sum of a triangle says the sum of the measures of the angles of any triangle is 180 deg. I used x to represent angles B and C and x + 30 to represent angle A since it is 30 deg higher than the other two. All this equaled 180 deg. I solved for x to get the degree measure of angles B and C and then added 30 on to x to get the degree measure for angle A.
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RESPONSE --> o.k.
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19:50:09 **** Query Add comments on any surprises or insights you experienced as a result of this assignment.
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RESPONSE --> No surprises
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19:50:15 There were no really big surprises.
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RESPONSE --> o.k.
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