Question

PLEASE HELP!!!!!!
PR equals 25. PQ equals 7. TQ equals 6. QS equals 2x + 5. find X

Answer 1

There's a theorem on circle which states that, if two chords of a circle intersect at a point then the product of their segments wil be equal. Like for this problem,

PQ * QR = TQ * QS

Now QR = PR - PQ

=25 - 7

= 18

Next step is to plug in PQ = 7, QR = 18, TQ =6 and QS = 2x+5. So,

7 * 18 = 6 * (2x + 5)

126 = 12x + 30 By multiplication.

126 - 30 = 12x + 30 -30 Subtract 30 from each sides.

96 = 12x

`(96)/(12) =(12x)/(12)`

So, x = 8.