Assignment 20

course Mth 152

I may have already sent this to you. I lost internet connection while it was submitting the assignment to you and I wasn't sure that you got it.

{\܁i㼀D۵assignment #020

020. `query 20

Liberal Arts Mathematics II

04-19-2008

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assignment #020

020. `query 20

Liberal Arts Mathematics II

04-19-2008

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19:38:44

query 9.1.36 Ray MO U ray OM **** How do you express the intersection of the two rays?

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RESPONSE -->

Line MO or Line OM

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19:39:53

** 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 -->

I put line MO and line OM. Is that the same?

The rays MO and OM would be different, but the line MO is the same as the line OM. In other words, your answer was right.

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19:47:03

**** 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 -->

angle SQT and PQR

angle SQP and TQR

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19:47:23

** STUDENT SOLUTION:

The vertical angles are SQT and PQR; SQP and TQR **

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RESPONSE -->

That is what I got

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19:50:37

**** 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 = 108

x = 36

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19:50:58

*&*& 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 -->

I sub. the 36 in and got 51 = 51 also.

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19:58:08

**** What equation did you solve to obtain x, and how did you get the equation?

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RESPONSE -->

vertical angles have equal measurements worked it as equal to each other

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19:58:31

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 -->

That is kinda what I said.

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20:05:53

**** 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 -->

180 - x = 10 + .2(90-x)

180 - x = 10 + 18 - .2x

180 - x = 28 - .2x

152 - x = .2x

152 = .8x

x = 190

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20:08:36

** 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 worked it as a supplement angle. But I see what I did wrong and see why it make such a difference

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20:09:07

**** What equation did you solve to obtain the measure of the angle?

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RESPONSE -->

I used the supplement equation and it should habve been complement instead

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20:09:27

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 -->

I see what I did wrong.

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20:09:40

**** Query Add comments on any surprises or insights you experienced as a result of this assignment.

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20:09:45

The query was basically what I expected it to be.

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Very good work. Let me know if you have questions. &#