Math Is Fun Forum

I like my answer on #8 but

9- I choose D.

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

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

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

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

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

(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

OK so I am going to say 12 is the hypotenuse so to get the short side I divide 12 by 2 sense the hypotenuse is the short leg * 2 and I get 6 and the long leg is going to be 6* √3 = 6√3

and to get the distance from the base of the ladder to the bottom of the fence 6 - 3 = 3
So 3ft is the answer

ooooooooh I get it I still use the same numbers but the angle is different Never mind guys it's clear now so the answers would be :
7. b
8. a

Ok I will show you what I drew in conclusion to what my mind came up with

Zee