4.1k views
0 votes
PR equals 25 p q equals 70 Q equals 6 + q s equals 2x + 5. find x

PR equals 25 p q equals 70 Q equals 6 + q s equals 2x + 5. find x-example-1

1 Answer

6 votes

PR =25, PQ=7, so QR = PR - PQ = 25-7 =18

SQ=2x+5, TQ=6

Here we use the chord intersection formula, which will give

PQ*QR = SQ*TQ

7*18 = 6(2x+5)

126 = 12x +30

Subtracting 30 from both sides

96 = 12x

Dividing both sides by 12

8=x

So the value of the x is 8 .

User Brad
by
6.1k points