39 + 0.16m = 25 + 0.24m
39 - 25 = 0.24m - 0.16m
14 = 0.08m
14 / 0.08 = m
175 = m <=== they will cost the same at 175 miles
39 + 0.16(175) = 39 + 28 = $ 67
25 + 0.24(175) = 25 + 42 = $ 67
they will both cost $ 67 <=====
Consider, in ΔRPQ,
RP = R (Radius of larger circle)
PQ = r (radius of smaller circle)
We have to find, RQ, by Pythagoras theorem,
RP² = PQ²+RQ²
R² = r²+RQ²
RQ² = R²-r²
RQ = √(R²-r²
Now, as RQ & QS both are tangents of the smaller circle, their lengths must be equal. so, RS = 2 × RQ
RS = 2√(R²-r²)
Because S and U are the opposite vertices of the <span>parallelogram RSTU,
so SU is a diagonal of this </span>parallelogram.