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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

Hi everybody!

I need help seeing if I answered the following questions correctly

(The Image the questions are talking about is below)

#1- I choose A

1. If the diameter of circle M is 20, and the length of line segment DF is 12, what is the length of segment MJ?

A 6

B 45

C 4

D 8

E 17

F 3

#2- I choose B

2. If the measure of arc BFE is 80 degrees, then what is the measure of angle BME?

A 37 deg

B 80 deg

C 9 deg

D 23 deg

E 17 deg

F 41 deg

#3 I choose F

3. If there were an imaginary angle ACB, what would the measure of that angle be? (Hint: Remember that a line is an angle with a measure of 180 degrees, or that a circle has a total arc measure of 360 degrees.)

A 45 deg

B 19 deg

C 30 deg

D 60 deg

E 27 deg

F 90 deg

Thanks

One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,626

Hi zee-f;

For 1) I have D.

For 2) I agree.

For 3) I agree.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

I agree that #1 is D but I was stuck between subtracting or just or dividing the 12

One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

(Talking about the same picture)

#4- I choose E

4. If angle EMA has a measure of 100 degrees, what is the measure of arc EDA?

A 77 deg

B 180 deg

C 15 deg

D 26 deg

E 100 deg

F 164 deg

#5- I choose E

5. If I had an imaginary line from M to H, with a length of 15, and told you that line segment HI had a length of 9, what would the radius of circle M be?

A 12

B 9

C 18

D 17

E 15

F 24

#6- I choose E

6. Imagine there is a line segment AD, and a line segment BF. If the measure of angle DAB is 60 degrees, what is the measure of angle DFB?

A 54 deg

B 167 deg

C 135 deg

D 175 deg

E 30 deg

F 120 deg

#7- I choose D

7. If angle EMA is 95 degrees, what is the measure of angle BME?

A 85 deg

B 25 deg

C 56 deg

D 34 deg

E 75 deg

F 46 deg

#8- I choose B

8. If I drew a line segment from A to C, and the radius of circle M was 1, what would line segment AC be?

A sqrt 7

B sqrt 2

C sqrt 8

D sqrt 13

E sqrt 4

F sqrt 3

9- I choose A.

9. If the diameter of circle M is 12, what would the length of MI be?

A 12

B 8

C 27

D 6

E 2

F 9

#10- I choose D

10. If imaginary triangle DJE were a 30-60-90 triangle, with angle EDJ as the 30 degree angle, and chord DF had a length of 18, what would the length of line segment DE be?

A 5

B 6

C 27

D 6*sqrt(3)

E 10

F 12

One, who adopts patience, will never be deprived of success though it may take a long time to reach him. Imam ali (as)<3

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,626

Hi;

I used Pythagoras there.

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

Isn't line segment DJ half of DF. So since line segment DF= 12 line segment DJ= 6 ?

So you used the sides of 6 and the hypoteneuse of 20

6^2 + b^2 = 20^2 ?????

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,626

6^2 + b^2 = 10^2

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

That is what I get

a^2 + b^2 = c^2

6^2 + b^2 = 10^2

Then we simplify:

36 + b^2 = 20

Then we solve for b:

b^2 = 20 - 36

b^2 = -16

Take the square root of both sides:

SQRT b^2 = SQRT -16

b = -4

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,626

Hi;

36 + b^2 = 20

10^2 is not 20.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

but why did you use 10^2 ?

I am getting really confused for some reason I mean everything was clear when I read the lesson but some problems really confuse the whole thing

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

ooooooh since we divided the 12 by half the 20 by half to I get it now

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,626

The radius is half the diameter, so side MD is 10. This is the hypotenuse of right triangle.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

Thanks bobbym for all the help

(Talking about the same picture) I also really need help checking my answers on these

#4- I choose E

4. If angle EMA has a measure of 100 degrees, what is the measure of arc EDA?

A 77 deg

B 180 deg

C 15 deg

D 26 deg

E 100 deg

F 164 deg

#5- I choose E

5. If I had an imaginary line from M to H, with a length of 15, and told you that line segment HI had a length of 9, what would the radius of circle M be?

A 12

B 9

C 18

D 17

E 15

F 24

#6- I choose E

6. Imagine there is a line segment AD, and a line segment BF. If the measure of angle DAB is 60 degrees, what is the measure of angle DFB?

A 54 deg

B 167 deg

C 135 deg

D 175 deg

E 30 deg

F 120 deg

#7- I choose D

7. If angle EMA is 95 degrees, what is the measure of angle BME?

A 85 deg

B 25 deg

C 56 deg

D 34 deg

E 75 deg

F 46 deg

#8- I choose B

8. If I drew a line segment from A to C, and the radius of circle M was 1, what would line segment AC be?

A sqrt 7

B sqrt 2

C sqrt 8

D sqrt 13

E sqrt 4

F sqrt 3

9- I choose A.

9. If the diameter of circle M is 12, what would the length of MI be?

A 12

B 8

C 27

D 6

E 2

F 9

#10- I choose D

10. If imaginary triangle DJE were a 30-60-90 triangle, with angle EDJ as the 30 degree angle, and chord DF had a length of 18, what would the length of line segment DE be?

A 5

B 6

C 27

D 6*sqrt(3)

E 10

F 12

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,626

Hi;

4) E , I agree.

Let's stop right here.

5) Your answer of 15 is impossible. The hypotenuse is 15 and it is always the longest side of a right triangle. Please try again.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

18 *1/2 = 9 So the answer would be 9

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,626

How long is IH?

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

IH=9

oh so

15^2 - 9^2 = 225- 81=144

√144 = 12

So the answer is 12

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,626

That is correct!

For 6) I am getting F.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

Thanks for all the help am going to take a rest a little been sitting on the computer for like more than 3 hours

Thank you so so much for all the help really appreciate it

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

I will review #6-#10 tomorrow

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,626

Hi;

Did you check number 6?

Then get some rest. See you tomorrow.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

Hi,

#6- Imagine there is a line segment AD, and a line segment BF. If the measure of angle DAB is 60 degrees, what is the measure of angle DFB?

#6-

A 54 deg

B 167 deg

C 135 deg

D 175 deg

E 30 deg

F 120 deg

I agree that it is 120 deg because The measure of an inscribed angle is equal to one-half the degree measure of its intercepted arc. So since I know that angle angle DAB has a measure of 60 degrees, I can know that arc fb must have a measure of 120 degrees, and the measure of a angle is equal to the length of the arc it defines. So the arc is 120 degrees So the measure of angle DFB is 120 deg

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 82,626

Hi;

Okay then I am getting 7 A.

I have the result, but I do not yet know how to get it.

All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

Did you subtract 180-95 and got 85 so that is the answer ?

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**zee-f****Member**- Registered: 2011-05-12
- Posts: 1,220

I like my answer on #8 but

9- I choose D.

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