Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,786

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.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline

**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

Offline

**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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,786

Hi;

I used Pythagoras there.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline

**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 ?????

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,786

6^2 + b^2 = 10^2

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline

**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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,786

Hi;

36 + b^2 = 20

10^2 is not 20.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**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

Offline

**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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,786

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

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,786

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.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

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

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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,786

How long is IH?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,786

That is correct!

For 6) I am getting F.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**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

Offline

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

I will review #6-#10 tomorrow

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,786

Hi;

Did you check number 6?

Then get some rest. See you tomorrow.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,786

Hi;

Okay then I am getting 7 A.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

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

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

Offline

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

I like my answer on #8 but

9- I choose D.

Offline