On a huge site in San-Diego, a whole new street of houses was constructed. To put the numbers on all new buildings the plates with the digits were used. How many of those plates will be used on the left side of the street with odd numbers and how many plates will be used for the right side of the street with even numbers only, if numeration started from #1 up to #99? How many houses on each side of the street?

step-by-step explanation:

47

step-by-step explanation:

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen