Question

Solve for M (image below)
A. (PO) / N
B. (ON) / P
C. (PN) / O
D. N / (OP)
E. none of these

Answer 1

@sweetburger

Answer 2

@DanJS

Answer 3

i'm leaning towards A

Answer 4

When two chords intersect each other inside a circle, the products of their segments are equal.

Answer 5

I had to look it up, i forgot about that one

Answer 6

yes, that's what i thought, and since MN is equal to PO wouldn't it be PO / n ?

Answer 7

so P*N = M*O

Answer 8

are you sure MN = PO, did it say that?

Answer 9

oh you meant multiply. .lol not the line segments right?

Answer 10

no, that's what i was assuming, because of the angle. but that's right, the intersected lines are what is equal.

Answer 11

you're right, lol i'm not sure what i was thinking :p

Answer 12

The segment M times the Segment O = Segment N times Segment P

Answer 13

M x O = N x P

Answer 14

so M = (N x P)/O

Answer 15

(PN)/O

Answer 16

OHHHH i got it. that makes more sense then what i was doing.

Answer 17

here is where i went to remind me of the theorem 'intersecting chord theorem'

http://www.mathopenref.com/chordsintersecting.html

Answer 18

i have one other one i need help with. which is to FInd C.

A. 9.27
B. -3.75
C. 8
D. 3.75
E. none of these

Answer 19

k

Answer 20

recall , the same side corresponding angles are equal, so you can say this

Answer 21

because those 2 lines are parallel

Answer 22

Then , the angle inside the triangle , completes the 180 degrees, 180 - 112 = 68

Answer 23

The Sin of 68 is opposite C over hypotenuse 10

Sin(68) = C / 10

10 * Sin(68) = C