Question

Two chords intersect with the measures shown in the drawing.



What is the value of x?

Picture will be drawn.

Answer 1

Woh wicked drawing!

Answer 2

@genius12 why comment to b rude?

Answer 3

The product of the segments of one chord equals the product of the segments of the other chord.

Answer 4

Are you aware of the Intersecting Chords theorem/Power of a point theorem, when point P is located inside the circle.

@omgdime

Answer 5

7.5x = 5(12)

Answer 6

answer choices. 10.0
8.0
14.5
9.5

Answer 7

I don't understand.

Answer 8

7.5 is not one of answer chooices.

Answer 9

Look at my drawing above. When two chords intersect inside a circle, each chord cuts the other one into two segments. In my drawing above, the lengths of the segments of one chord are a and b. The lengths of the segments of the other chord and c and d. What we know about their lengths is that ab = cd.

Answer 10

It's basically what mathstudent55 said.

Answer 11

what im not understanding is how to find the answer...

Answer 12

In your case, one chord has segments x and 7.5. The other chord has segments 5 and 12. So we know that
x times 7.5 equals 5 times 12.
We write that as an equation and we solve for x:
7.5x = 5(12)
7.5x = 60
Divide both sides by 7.5:
x = 8

Answer 13

ohhhhhhhhhhhhhhhhhhh, i gotcha now

Answer 14

The intersecting chords theorem suggests that:\[AP*PD=CP*PB\]

Answer 15

I got it now. thanks help me again please.

Answer 16

AP = 5
PD = 12

AP*PD = 60

CP = x
PB = 7.5

CP*PB = 7.5x

According to the theorem, we get:

AP*PD = CP*PB
60 = 7.5x

We divide both sides by 7.5 to solve for x.

@omgdime

Answer 17

And that's the same as what mathstudent suggested but more explanatory.

Answer 18

thank you