Vertical angles are congruent due to the fact that they intersect. If they did not, they would in fact be parallel. (last section)
X - y = 7.....x = y + 7
x * y = 60
y(y + 7) = 60
y^2 + 7y = 60
y^2 + 7y - 60 = 0
(y + 12)(y - 5) = 0
y + 12 = 0
y = -12....not this one because it is negative
y - 5 = 0
y = 5 <===
x - y = 7
x - 5 = 7
x = 7 + 5
x = 12 <==
so ur 2 numbers are 12 and 5
4.5 / 2 = 2.25cm radius for the smaller circle
3.14 (pi) × 2.25² = 15.89625cm²
10.5 / 2 = 5.25cm radius for the larger circle
3.14 × 5.25² = 86.54625cm²
86.54625 - 15.89625 = <span>70.65cm</span>²
The answer is 70.7cm².