In the figure, two circles intersect at P and Q. O is the centre of the smaller
circle which lies on the circumference
of the larger circle and RO is joined
and produced to meet QS at X. Prove
that RQ = RS.​

Elena and her husband marc both drive to work. elena's car has a current mileage (total distance driven) of 15,000 and she drives 23,000 miles more each year. marc's car has a current mileage of 46,000 and he drives 9,000 miles more each year. will the mileages for the two cars ever be equal? explain.

Jenisey has $24 to spend on seven pencils. after buying them she had $10. how much did each pencil cost.?

Find the perimeter of the triangle with vertices  d(3, 4),  e(8, 7), and  f(5, 9). do not round before calculating the perimeter. after calculating the perimeter, round your answer to the nearest tenth.